Equadiff 99 : Proceedings of the International Conference on Differential Equations Berlin, Germany 1-2 August 1999

by Fiedler, Bernold; Groger, Konrad; Sprekels, Jurgen

• ISBN13: 9789810243593
• ISBN10: 9810243596
• Format: Hardcover
• Copyright: 2000-06-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.

Table of Contents

Preface	v
A. Dynamical Systems
Celestial Mechanics
K. R. Meyer
Melnikov techniques in the Sitnikov problem	3	(6)
Antonio Garcia
Ernesto Perez-Chavela
2nπ-periodic solutions of the Sitnikov problem	9	(3)
Mir Abbas Jalali
Regularizable and non-regularizable collisions in N-body problems	12	(8)
Regina Martinez
Carles Simo
Antoni Susin
On the homology of the integral manifolds in celestial mechanics	20	(6)
Christopher McCord
Horseshoes and the problem of the gaps	26	(4)
Richard Moeckel
Existence and stability of relative equilibria in n-body problem	30	(9)
Gareth E. Roberts
Homoclinic Tangencies
A. J. Homburg
F. Takens
Lorenz attractors with arbitrary expanding dimension	39	(6)
Ch. Bonatti
A. Pumarino
M. Viana
Homoclinic tangencies and Ω-moduli	45	(3)
Sergey V. Gonchenko
Infenite modal maps and homoclinic bifurcations	48	(7)
Ale jan Homburg
Resonant homoclinic flip bifurcations: a numerical investigation	55	(3)
Bernd Krauskopf
Bart E. Oldeman
Alan R. Champneys
Bifurcations in three-dimensional systems: Asymptotic treatment	58	(3)
F. Lakrad
M. Houssni
M. Belhaq
On the structure and bifurcations in a one-parameter unfolding of a 2 d.o.f. Hamiltonian system with a contour with two saddle-foci	61	(3)
L. M. Lerman
Attractors and singularities robustly accumulated by periodic orbits	64	(4)
C. A. Morales
M. J. Pacifico
Impossibility of complete bifurcation description for some classes of systems with simple dynamics	68	(3)
Mikhail V. Shashkov
Computational algorithms for ordinary differential equations	71	(8)
Warwick Tucker
Singular Perturbations
P. Szmolyan
D. Terman
Bifurcations, scaling laws and hysteresis in singularly perturbed systems	79	(3)
N. Berglund
Exponential sensitivity in some singularly perturbed boundary value problems	82	(3)
Adriana Bohe
The period function of non homogeneous differential equations	85	(3)
A. Raouf Chouikha
Geometric singular perturbation theory: centre manifolds and blow up	88	(6)
Freddy Dumortier
Invariant manifolds approach to optimal control of nonlinear singularly perturbed systems	94	(3)
E. Fridman
Multiplicative solution asymptotics for singularly perturbed parabolic boundary value problems	97	(3)
S. M. Frolovitchev
Limit cycle bifurcations	100	(3)
Valery A. Gaiko
On WKB asymptotic expansions of high frequency vibrations in stiff problems	103	(3)
Yuri Golovaty
Natalie Babych
A perturbation method based on integrating vectors	106	(3)
W. T. van Horssen
Effective dynamics for the Maxwell-Lorentz system	109	(3)
Markus Kunze
Asymptotic method of differential inequalities	112	(6)
Nikolay N. Nefedov
Geverey asymptotics in singular perturbations of ODE	118	(9)
Reinhard Schafke
Stochastic Systems
L. Arnold
P. Kloeden
Random homoclinic dynamics	127	(6)
Volker Matthias Gundlach
Lyapunov exponents of linear stochastic jump diffusions	133	(3)
C. W. Li
Situ Rong
Z. Dong
Lyapunov's second method for stochastic differential equations	136	(9)
Xuerong Mao
Symmetry
M. Field
M. Golubitsky
Drift for Euclidean extensions of dynamical systems	145	(6)
Peter Ashwin
Ian Melbourne
Matthew Nicol
Smooth normalization of reversible vector fields	151	(3)
Genrich Belitskii
Alexander Kopanskii
Hopf bifurcations on the FCC lattice	154	(3)
T. K. Callahan
Pattern formation in weakly anisotropic systems	157	(6)
T. K. Callahan
E. Knobloch
Generic bifurcation from a 2-manifold	163	(3)
D. R. J. Chillingworth
On the stability of bifurcating periodic orbits in reversible and symplectic mappings	166	(3)
Maria-Cristina Ciocci
Ergodicity and robustness of symmetric attractors	169	(6)
Michael Field
Bifurcation from periodic and relative periodic solutions in equivariant dynamical systems	175	(11)
Jeroen S. W. Lamb
Ian Melbourne
Claudia Wulff
Validity, universality and structure of the Ginzburg-Landau equation	186	(15)
Ian Melbourne
Calculation of solution of Boussinesq problem using Lie symmetries	201	(3)
Teoman Ozer
Applications of a new G-invariant implicit function theorem	204	(3)
Lutz Recke
The relations between Painleve property and Lie symmetries of second order ordinary differential equations	207	(3)
I. Murat Turhan
Mehmet Can
An example of symmetry reduction in Hamiltonian systems	210	(3)
Andre Vanderbauwhede
Symmetries and mode interactions in the optimisation of hydrophone placement in acoustic arrays	213	(6)
D. A. Wood
D. Allwright
Topological Methods and Conley Index
K. Mischaikow
M. Mrozek
On transition matrices	219	(6)
Hiroshi Kokubu
The implementation of the Allili-Kaczynski algorith for the construction of a chain homomorphism induced by multivalued map	225	(3)
Marcin Mazur
Jacek Szybowski
Computer assisted proof of the existence of a periodic orbit in the Rossler equations	228	(3)
Pawel Pilarczyk
On the structure of the Conley index	231	(10)
Roman Srzednicki
Periodic orbits for fourth order conservative systems and morse type theory	241	(5)
R. C. A. M. Vandervorst
J. B. van den berg
How to show the existence of homoclinic trajectories using topological tools?	246	(5)
Klaudiusz Wojcik
Piotr Zgliczynski
B. Infinite Dimensions
Delay Equations
S. M. Verduyn Lunel
H.-O. Walther
Asymptotic properties of second order functional differential equations	251	(3)
A. Domoshnitsky
On equations with state-depending time lags	254	(3)
Alexander Domoshnitsky
Michael Drakhlin
Elena Litsyn
Effects of time delays on the dynamics of feedback systems	257	(10)
Jack K. Hale
Sjoerd M. Verduyn Lunel
Synchronization and phase-locked oscillation their connecting orbits and domains of attraction in a neural network with delay	267	(6)
Jianhong Wu
Some collocation results on computing periodic solutions of delay differntial equations	273	(6)
T. Luzyanina
K. Engelborghs
D. Roose
Geometric Dynamics
H. Matano
Hamiltonian reduction of Einstein's equations and the geometrization of three-manifolds	279	(4)
Arthur E. Fischer
Vincent Moncrief
Evolution of plane curves driven by a nonlinear function of curvature and anisotropy	283	(6)
D. Sevcovic
K. Mikula
Hyperbolic Conservation Laws
T.-P. Liu
G. Warnecke
BV stability via generalized characteristics for nonclassical solutions of conservation laws	289	(6)
Paolo Baiti
Philippe G. LeFloch
Benedetto Piccoli
Admissibility of traveling waves for scalar balance laws	295	(3)
Jarg Harterich
Shocks with oscillatory tails in systems of viscous hyperbolic balance laws	298	(3)
Stefan Liebscher
Initial layer effects and convergence rates for relaxation methods	301	(7)
Hailiang Liu
Gerald Warnecke
On recent progress in shoke wave theory	308	(7)
Tai-Ping Liu
Cauchy problem for compressible Euler equations with damping	315	(6)
Pierangelo Marcati
Ronghua Pan
Hyperbolic Wave Equations
F. Duzaar
J. Grotowwki
Quasilinear wave equations and dispersive effect	321	(6)
Hajer Bahouri
Jean-Yves Chemin
The notion of hyperbolicity for systems of Euler-Lagrange equations	327	(12)
Demetrios Christodoulou
Bounded solutions and blow-up in nonlinear wave equations	339	(3)
Jorge A. Esquivel-Avila
Asymptotic behaviour of solutions to Maxwell's equations in arbitrary domains	342	(3)
Frank Jochmann
Strichartz inequalities for the wave equations with a magnetic potential	345	(6)
Pedro Paulo Schirmer
Semilinear wave equations on pseudo-Riemannian manifolds: stability and motion of non-topological solitons	351	(3)
David M. A. Stuart
On discrete models of the wave equation	354	(3)
Volodymyr Sushch
Global dynamics of nonlinear hyperbolic equations with non-monotone damping	357	(6)
Yuncheng You
Hysteresis
J. Sprekels
Homogenization of scalar wave equation with hysteresis operator	363	(6)
Jan Francu
Pavel Krejci
P.D.E.s with hysteresis operators	369	(16)
Augusto Visintin
Large Domains
A. Mielke
G. Schneider
Stability of the magnetic Benard problem	385	(5)
B. Scarpellini
Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model	390	(15)
Guido Schneider
C. Eugene Wayne
Extended gradient systems: the energy flow inequalities	405	(3)
S. Slijepcevic
Rolls and modulated multi-pulse solutions in the Swift-Hohenberg type of equations	408	(9)
Hannes Uecker
Lattice Dynamical Systems
S.-N. Chow
Dimer automata and edge processes	417	(6)
K. P. Hadeler
B. Schonfisch
Lattice dynamical system: patterns and waves	423	(8)
Song-Sun Lin
Differential equations describing the evolution of particle densities for interacting particle systems	431	(3)
Andreas Seib
Periodic motions of non-autonomous toda lattices	434	(5)
Pedro J. Torres
Microstructure
S. Muller
Numerical approach to the inverse homogenization problem	439	(3)
Christian Barbarosie
Asymtotic self similarity in a model of branching in microstructured materials	442	(6)
Sergio Conti
Continuum limits of step flow models	448	(6)
Weinan E
Nung Kwan Yip
Spectral problems in a periodic thick multi-structure with concentrated masses	454	(3)
T. A. Mel'nyk
Time dependent Young measure solutions for an elasticity equation with diffusion	457	(3)
Marc Oliver Rieger
Existence and relaxation results in the class of anti-plane shear deformations	460	(3)
M. A. Sychev
Constrained Young measures	463	(6)
Anca-Maria Toader
Nonlinear Functional analysis
H. Kielhofer
J. Mawhin
Applications of critical point theory to variational problems on Rn	469	(16)
Antonion Ambrosetti
Multipoint boundary value problems	485	(3)
Abdelkader Boucherif
Sidi Mohamed Bouguima
Theoretical and numerical study of multi-phase flows through order parameter fourmulation	488	(3)
Franck Boyer
Lower and upper solutions for the periodic problem associated with a ∅-Laplacian equation	491	(3)
Alberto Cabada
Patrick Habets
Rodrigo L. Pouso
The sweeping processes without convexity	494	(3)
Giovanni Colombo
Vladimir V. Goncharov
On the number of solutions of a quasilinear elliptic boundary value problems	497	(3)
Mohammed Derhab
Sidi Mohammed Bouguima
Remarks on a periodic boundary value problem for second order impulsive integro-differential equations	500	(3)
Daniel Franco
Juan J. Nieto
Polynomial solutions of matrix differential equation of Riccati type	503	(3)
Bilijana Joleska-Tuneska
Peter Lazov
Pattern formation for minimizing sequences of the stationary Cahn-Hilliard model	506	(6)
Hansjorg Kielhofer
Multiple nontrivial solutions for a floating beam equation via critical point theory	512	(5)
A. M. Micheletti
C. Saccon
Quasilinear elliptic problems in RN
I. Peral
Upper and lower solutions for first order discontinuous BVPs	517	(3)
Rodrigo L. Pouso
Geometrical properties of the Fucik spectrum of general Sturm-Liouville problems	520	(3)
Bryan P. Rynne
Degree theory for densely defined operators and applications	523	(3)
I. V. Skrypnik
The existence of radial, positive solutions for nonlinear elliptic equations in unbounded domains	526	(5)
Robert Stanczy
Variational Methods
M. Giaquinta
On certain quasilinear elliptic equations with indefinite terms	531	(3)
Mohammed Bouchekif
Shortest paths on groups of volume-preserving maps and the hydrostatic limit of the Euler equations	534	(8)
Yann Brenier
Periodic solutions and rigid rotations of the gauged Ginzburg-Landau vortices	542	(3)
Sophia Demoulini
On the heat equation with integral mean-values	545	(3)
Meyramkul Dzhenalieva
The loaded differential equations and their applications	548	(3)
Muvasharkhan Dzhenaliev
Existence of equivariant harmonic maps	551	(5)
Andreas Gastel
Integral inequalities associated with inequalities of Opial type	556	(2)
B. Florkiewicz
M. Kuchta
The shape of functions yielding best constants in Sobolev-type inequalities	558	(3)
Bernd Kawohl
Closed surfaces minimizing the bending energy under prescribed area and volume	561	(3)
Takeyuki Nagasawa
Izumi Takagi
Critical points of the area functional by gluing technics	564	(5)
Frank Pacard
Multiple solutions for an elliptic equation with non-homogeneous boundary conditions	569	(3)
Addolorata Salvatore
Convexity estimates for mean curvature flow of mean convex surfaces	572	(3)
Carlo Sinestrari
Bifurcation results for quasilinear elliptic systems on RN	575	(3)
N. M. Stavrakakis
N. B. Zogrophopoulos
Some general quadratic integral inequalities of the second order	578	(5)
Katarzyna Wojteczek
Viscosity Solutions
N. Trudinger
Propagation of singularities for concave solutions of Hamilton-Jacobi equations	583	(6)
Paolo Albano
Piermarco Cannarsa
Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations	589	(3)
Martino Bard
Francesca Da Lio
On the Liouville property for nonlinear elliptic problems	592	(3)
Alessandra Cutri
On the rate of convergence in homogenization of Hamilton-Jacobi equations	595	(5)
I. Capuzzo Dolcetta
H. Ishii
Almost periodic homogenization of Hamilton-Jacobi equations	600	(6)
Hitoshi Ishii
Gradient estimates, interior gradient blow ups and comparrison principle of nonlinear PDEs	606	(3)
Nikolai Kutev
Solvability of the Dirichet problem in H01,p,λ (Ω) for a class of linear second order elliptic partial differential equations	609	(6)
M. A. Ragusa
C. Global Attractors and Stability
Global Attractors and Limits
J. K. Hale
G. Raugel
Spectral behavior and upper semicontinuty of attractors	615	(7)
Jose M. Arrieta
Dissipatio and attractors	622	(16)
Jack K. Hale
Asymptotic behavior of some nonlinear dissipative hyperbolic equation on RN	638	(3)
Nikos I. Karachalios
Nikos M. Stavrakakis
Exponentially weighted L∞-estimates and attractors for parabolic systems on unbounded domains	641	(6)
Alexander Mielke
Singularly perturbed hyperbolic equations revisited	647	(6)
Genevieve Raugel
Global attractors of reaction-diffusion equations without uniqueness	653	(6)
Jose Valero
Nonautonomous Attractors
M. Vishik
Kolmogorov ϵ-entropy of attractors of non-autonomous evolution equations	659	(6)
Valdimir V. Chepyzhov
Hausdorff dimension estimates by use of adapted Caratheodory outer measures and application to invariant sets with an equivariant tangent bundle splitting	665	(3)
Katrin Gelfert
Long time behavior in phase-field models with memory	668	(6)
Maurizio Grasselli
Long time behavior of models of Cahn-Hilliard equations in deformable continua	674	(6)
Alain Miranville
Existence, uniqueness and asymptotic behaviour of the solutions of nonlinear hyperbolic equations	680	(4)
Giovanni Prouse
Attractors for the non-autonomous dynamical systems	684	(6)
Bjorn Schmalfuss
Non-autonomous evolution equations and their attractors	690	(14)
Mark I. Vishik
The attractor for a nonlinear reaction-diffusion system in an unbounded domain and Kolmogorov's ϵ-entropy	704	(7)
S. V. Zelik
Order Preserving Dynamical Systems
H. Matano
Order-preserving random dynamical systems generated by a class of coupled strochastic semilinear parabolic equations	711	(6)
Igor Chueshov
The principal spectrum for linear nonautonomous parabolic PDEs of second order	717	(5)
Janusz Mierczynski
Stable subharmonic solutions of reaction-diffusion equations	722	(7)
Peter Polacik
Qualitative Theory of Parabolic Equations
P. Polacik
On the Dirichlet problem for the nonlinear parabolic equations in non-smooth domains	729	(3)
Ugur G. Abdulla
A generalized Bakry-Emery condition for non-symmetric diffusion	732	(3)
Anton Arnold
Eric Carlen
Periodic orbits and attractors for autonomous reaction-diffusion systems	735	(3)
Matthias Buger
Recent results in micromagnetism	738	(3)
Gilles Carbou
Pierre Fabrie
Connecting equilibria by blow-up solutions	741	(3)
Marek Fila
Hiroshi Matano
Unfocused blow up in semilinear parabolic equations	744	(3)
Julia Matos
Collision of layers in a scalar reaction-diffusion equation of 1-space dimension	747	(3)
Yoshihisa Morita
Formation of stable inner layers in diffusion equations: necessary and sufficient conditions	750	(3)
Arnaldo Simal do Nascimento
Dynamics on thin domains	753	(7)
Martino Prizzi
Krzysztof P. Rybakowski
Reaction-diffusion systems with skew-gradient structure	760	(9)
Eiji Yanagida
Stability of Fronts and Pulses
B. Sandstede
Multi-pulse solutions in problems with reflection symmetry in cylindrical domains	769	(3)
Andrei Afendikov
Alexander Mielke
On the mathematical foundation of the nonstandard finite difference method	772	(3)
Roumen Anguelov
Jean M.-S. Lubuma
A note on two pulse solutions in the 1-D Gray-Scott model	775	(6)
Arjen Doelman
Wiktor Eckhaus
Tasso J. Kaper
The stability of large pulse solutions in the generalized Gierer-Meinhardt equation	781	(6)
Arjen Doelman
Robert A. Gardner
Tasso J. Kaper
Convergence to travelling waves in damped hyperbolic equations	787	(7)
Thierry Gallay
Global structure of travelling waves for 3 competing species model with diffusion	794	(3)
Hideo Ikeda
Absolute and convective stability in large domains	797	(4)
Bjorn Sandstede
Arnd Scheel
Weak hyperbolicity and traveling waves	801	(8)
Guido Schneider
D. Computational Aspects
Computer Algebra Tools
J. Sanders
Computer algebra tool for the solution of the boundary-value problems	809	(3)
L. Braverman
A. Nepomnyashchy
B. Rubinshtein
A. Thess
Multilinear Hirota operators, modular forms and the Heisenberg algebra	812	(12)
Jan. A. Sanders
The symbolic method and cosymmetry integrability of evolution equations	824	(8)
Jan A. Sanders
Jing Ping Wang
A method for computing center manifold and normal forms	832	(9)
P. Yu
Control and Optimization
F. Colonius
Controllability of generic control systems at a k-type singular point	841	(3)
A. A. Davydov
J. Basto-Goncalves
A maximum time approach to the computation of robust domains of attraction	844	(6)
Maurizio Falcone
Lars Grune
Fabian Wirth
On equivalence of expontial and asymptotic stability under changes of variables	850	(3)
Lars Grune
Eduardo D. Sontag
Fabian Wirth
Bifurcation of control sets at singular points	853	(3)
Stefan M. Grunvogel
Generalized solutions for singular linear-quadratic optimal control problems	856	(3)
Manuel Guerra
Controllability of the shifted inverse power iteraction: The case of real shifts	859	(6)
Uwe Helmke
Fabian Wirth
Domain variation for optimization of convex functional	865	(3)
V. Kaminsky
Stabilization of overhead traveling cranes by nonlinear feedback	868	(3)
Yoshiyuki Sakawa
Local theory for differential equations of Caratheodory type	871	(6)
Stefan Siegmund
Dynamics and Algorithms
E. Doedel
On numerical bifurcation studies for general operator equations	877	(7)
Klaus Bohmer
A numerical method for computing unstable quasi-periodic solutions for the 2-D Poiseuille flow	884	(3)
Pablo S. Casas
Angel Jorba
On numerical methods for bifurcation analysis of delay differential equations	887	(6)
K. Engelborghs
T. Luzyanina
D. Roose
Numerical investigation of periodic solutions of multibody systems	893	(6)
Cornelia Franke
Periodic orbits of vector fields: computational challenges	899	(17)
John Guckenheimer
Rigorous discretization of subdivision techniques	916	(3)
Oliver Junge
Numerical continuation of periodic orbits in symmetric Hamiltonian systems	919	(3)
F. J. Munoz-Almaraz
J. Galan
E. Freire
Non-orientable manifolds of periodic orbits	922	(3)
Hinke Osinga
Strong singularities and the continuous Newton method	925	(3)
Ricardo Riazo
Pedro J. Zufiria
Ordinary differential equations, differential algebraic equations and their use in optimization	928	(6)
Johannes Schropp
Domain on bifurcation	934	(7)
R. Seydel
Exponentially Small Phenomena
C. Simo
Singular separatix splitting and the Poincare-Melnikov method for area preserving maps	941	(6)
Amadeu Delahams
Rafael Ramirez-Ros
Exponentially small splitting of separatrices near bifurcations in area-preserving maps	947	(5)
V. Gelfreich
Time-averaging of parabolic partial differential equations: exponential estimates	952	(3)
Karsten Matthies
Averaging in multi-frequency slow-fast systems	955	(6)
A. Pronin
D. Treschev
A new method for measuring the splitting of invariant manifolds	961	(6)
David Sauzin
Analytical and numerical detection of exponentially small phenomena	967	(12)
Carles Simo
Geometric Integrators
J. E. Marsden
Frictional collisions off sharp objects	979	(6)
C. Kane
J. E. Marsden
M. Ortiz
A. Pandolfi
A finite-difference approximation for cosymetry preservation in filtration conventionm problem	985	(3)
B. Karasozen
V. G. Tsybulin
Adaptive geometric integrators based on splitting, scaling, and switching	988	(6)
Ben Leimkuhler
Antisymmetry, pseudospectral methods, and conservative PDEs	994	(6)
Robert I. McLachlan
Nicolas Robidoux
Reduction of the planar 4-vortex system at zero momentum	1000	(9)
G. W. Patrick
variational integrators, the Newmark scheme, and dissipative systems	1009	(6)
M. West
C. Kane
J. E. Marsden
M. Ortiz
Numerical Ergodic Theory
M. Dellnitz
The computation of Lyapunov exponents via spatial integration using vector norms	1015	(6)
P. J. Aston
M. Dellnitz
Introduction to the numerical analysis of stochastic delay differential equations	1021	(3)
Evelyn Buckwar
Pullback attractors under discretization	1024	(6)
D. N. Cheban
P. E. Kloeden
B. Schmalfuβ
A conjecture on the existence of isolated eigenvalues of the Perron-Frobenius operator	1030	(3)
Michael Dellnitz
Gary Froyland
Stefan Sertl
Markov modelling for random dynamical systems	1033	(6)
Gary Froyland
Young measures and invariance	1039	(3)
Michael Grinfeld
Philip A. Knight
Attractors, chain transitive sets and invariant measures	1042	(6)
Fern Y. Hunt
Computation of Morse spectrum of dynamical system	1048	(5)
George Osipenko
Numerics of Dynamics
C. Grebogi
The computation of an unstable invariant set inside a cylinder containing a knotted flow	1053	(7)
Michael Dellnitz
Oliver Junge
Martin Rumpf
Robert Strzodka
Complex dynamics and multistable systems	1060	(6)
U. Feudel
S. Kraut
Riddling in dynamical systems	1066	(15)
Ying-Cheng Lai
Celso Gebogi
Dimension and stability of sets embedded in normally hyperbolic invariant manifolds	1081	(6)
Volker Reitmann
E. Applications
Chemistry
Y. Keverkidis
Kinetic scheme reduction in first order differential equation models	1087	(3)
S. Handrock-Meyer
K. R. Schneider
Continuation of waves in reaction-diffusion-convection systems via heteroclinic and homoclinic orbits	1090	(5)
Martin Kohout
Igor Schreiber
Milan Kubicek
Chemotaxis, Cross-Diffusion, and Blow-Up
A. Stevens
Numerical blow-up time convergence for discretizations of reaction-diffusion equations	1095	(3)
L. M. Abia
J. C. Lopez-Marcos
Julia Martiinez
On a reaction-diffusion system modelling chemotaxis	1098	(6)
H. Gajewski
K. Zacharias
Some blowup results for the Keller-Segel model	1104	(3)
Dirk Horstmann
Systems of reaction diffusion equations modelling angiogenesis and chemotaxis	1107	(8)
H. A. Levine
B. D. Sleeman
Behavior of solutions to system related to chemotaxis	1115	(8)
Takasi Senba
Industrial Applications
A. Schuppert
Two-dimensional modelling of pollutant transport in a shallow basin	1123	(3)
M. M. Charafi
A. Sadok
A. Kamal
A. Menai
On the non-isothermal formation of polymeric fibers	1126	(3)
Thomas Hagen
Michael Renardy
An efficient reduced SQP strategy for large-scale dynamic process optimization	1129	(6)
Daniel B. Leineweber
Extrapolability of structured hybride models: a key to optimization of complex processes	1135	(20)
Andreas A. Schuppert
Mechanics
Marsden, J. Scheurle
Kinetic energy and Laypunov stability of equilibria of natural Lagrangian systems	1155	(3)
Maria Letizia Bertotti
Sergey V. Bolotin
On relative equilibria of a cross-shaped satellite with movable mass points	1158	(3)
A. Burov
H. Troger
Quasi-periodic motions of the perturbed Euler top	1161	(6)
Heinz Han&betal;mann
Dynamical systems, the three-body problem and space mission design	1167	(15)
Wang Sang Koon
Martin W. Lo
Jerrold E. Marsden
Shane D. Ross
The Hamiltonian structure of the dynamics of ideal liquid bridges	1182	(10)
Hans-Peter Kruse
Jurgen Scheurle
Poisson structure and invariant manifolds on Lie groups	1192	(6)
Jerrold E. Marsden
Sergey Pekarsky
Steve Shkoller
The Euler equations on thin domains	1198	(9)
Jerrold E. Marsden
Tudor S. Ratiu
Genevieve Raugel
Models in Biology, Medicine, and Physiology
Ph. K. Maini
Bifurcation of ``traveling wave'' solutions in population models with taxis	1207	(3)
F. Berezovskaya
G. Karev
Stability analysis of a peak solution to an orientational aggregation model	1210	(7)
Edith Geigant
Dynamics of non-uniform population	1217	(3)
Georgy P. Karev
A comparison-type approach for travelling fronts	1220	(6)
Luisa Malaguit
Christina Marcelli
Model reduction by extended quasi-steady-state assumption	1226	(3)
Klaus R. Schneider
Thomas Wilhelm
Abundance of chaos in one-dimensional population dynamics	1229	(6)
Hans Thunberg
Molecular Modelling
F. Bornemann
Molecular propagation through crossings and avoided crossings of electron energy levels	1235	(6)
George A. hagedorn
Adiabatic evolution through infinitely many eigenvalue crossings	1241	(6)
A. Joye
F. Monti
S. Guerin
H. R. Jauslin
On conformational dynamics induced by Langevin processes	1247	(18)
Ch. Schutte
W. Huisinga
Patterns
P. Fife
Spinodal decomposition for the stochastic Cahn-Hilliard equation	1265	(3)
Dirk Blomker
Stanislaus Maier-Paape
Thomas Wanner
Phase-front solutions and instabilities in forced oscillations	1268	(7)
Christian Elphick
Aric Hagberg
Ehud Meron
Lagrangian chaos and the dynamo effect in magnetohydrodynamics	1275	(3)
F. Feudel
S. Rudiger
A. Witt
M. Gellert
Asymptotic profiles of nonlinear diffusion problems	1278	(3)
J. Garcia-Melian
J. Sabina de Lis
Convective Cahn-Hilliard models for kinetically controlled crystal growth	1281	(3)
A. A. Golovin
S. H. Davis
A. A. Nepomnyashchy
M. A. Zaks
Dynamics of swimming bacteria at low and high volume fractions	1284	(4)
John O. Kessler
Spinodal decomposition: a survey of recent results	1288	(12)
Stanislaus Maier-Paape
Evelyn Sander
Thomas Wanner
Asymptotics, existence and stability of solutions with internal layers of fast and slow elliptic systems	1300	(3)
Nikolay N. Nefedov
Complex pulse dynamics in nonlinear dissipative systems	1303	(2)
Yasumasa Nishiura
Co-dimension 2 phenomena in pattern formation	1305	(3)
Vivi Rottschafer
Patterns in an electrically driven conducting fluid layer	1308	(3)
N. Seehafer
J. Schuhmacher
Stabilizing unstable periodic orbits in reaction-diffusion systems by global time-delayed feedback control	1311	(6)
S. M. Zoldi
G. Franceschini
S. Bose
E. Scholl
Semiconductors
H. Gajewski
Moment equations for carrier transport in semiconductors	1317	(5)
A. Marcello Anile
Nikolaos Nikiforakis
Rosa M. Pidatella
The small Debye length limit in thedrift-diffusion model for semiconductors	1322	(3)
Ingenuin Gasser
Rigorous derivation of a hierarchy of macroscopic models for semiconductors and plasmas	1325	(3)
Ansgar Jungel
Yue-Jun Peng
About some mathematical questions concerning the embedding of Schrodinger-Poisson systems into the drift-diffusion model of semiconductor devices	1328	(6)
Hans-Christoph Kaiser
Joachim Rehberg
Simulation of current filamentation in an extended drift-diffusion model	1334	(5)
G. Schwarz
E. Scholl
R. Nurnberg
H. Gajewski
Steady Water Waves
G. M. Iooss
Multiplicity of algebraically decaying solitary waves	1339	(6)
P. Bolle
B. Buffoni
Phenomena beyond all orders and bifurcations of reversible homoclinic connections near higher resonances	1345	(15)
Eric Lombardi
A note on exact estimates for the amplitude of oscillations of generalized solitary waves	1360	(9)
S. M. Sun
Unsteady Hydrodynamic Waves
J. F. Toland
Boundary integral methods for three-dimensional water waves	1369	(10)
J. Thomas Beale
A Nash-Moser theorem for standing water waves	1379	(6)
P. I. Plotnikov
J. F. toland
Justification of quasistationary approximation in the problem of evolution of an isolated liquid mass	1385	(8)
W. A. Solonnikov
F. Further Topics
Delay Equations
Nonlinear retarded functional differential equations of arbitrary (fractional) orders	1393	(3)
Ahmed M. A. El-Sayed
Special symmetric slowly oscillating periodic solution of a state dependent delay differential equation	1396	(5)
Mustapha Yebdri
Numerics
On the mathematical foundation of the nonstandard finite difference method	1401	(3)
Roumen Anguelov
Jean M.-S. Lubuma
Optimal derivative of a nonlinear ordinary differential equation	1404	(3)
T. Benouaz
Event recognition using a binary discriminant tree	1407	(3)
Mostafa Mjahed
On the investigation of parametrised boundary value problems	1410	(5)
Miklos Ronto
Ordinary Differential Equations
Uniformly isochronous quintic planar vector fields	1415	(3)
A. Algaba
M. Reyes
A. Bravo
Investigation of resonances using higher order normal forms	1418	(3)
Dmitri Balashov
Polynomial infinitesimal generators of Lie's symmetries for polynomial planar vector fields	1421	(3)
J. Chavarriga
I. A. Garcia
J. Gine
Some criteria on the uniqueness of limit cycles in planar polynomial vector fields	1424	(3)
J. Chavarriga
H. Giacomini
J. Llibre
J. Mallol
On stability and bifurcations in nonlinear systems of differential equations	1427	(3)
Yakov M. Goltser
On the Dainelli-Suslov problem	1430	(3)
Rafael Ramirez
Natalia Sadovskaia
Decoupling of impulsive differential equations	1433	(3)
Andrejs Reinfelds
On the Suslov problem	1436	(4)
Natalia Sadovskaia
Rafael Ramirez
Nonlinear differential systems with prescribed limit sets	1440	(3)
Allan Sandqvist
Monotonicity and boundedness of the atomic radius in the Thomas-Fermi theory	1443	(6)
Tadie
Partial Differential Equations
On differential operators of Mizohata type	1449	(3)
Chikh Bouzar
Fethia Ouyekene
Applications of linear elliptic regularity to nonlinear problems	1452	(3)
Stefan Ebenfeld
T. U. Darmstadt
On the integrability of the Pfaffian equation concerning the octahedral web formed by four pencils of spheres	1455	(6)
H. I. Erdogan
Posters
Chaotic eigenfunctions, maximum norms and random superpositions of plane waves	1461	(3)
Ralf Aurich
Arnd Backer
Roman Schubert
Michael Taglieber
Singularly perturbed system of differential equations in case of unstable spectrum and non diagonalizable degenerate operator	1464	(3)
Vasyl Bobochko
Ivan Markush
Topology of bifurcations on symmetric integrable Hamiltonian systems on S3	1467	(3)
B. Campos
J. Martinez Alfaro
P. Vindel
Heteroclinic behavior in rotating Rayleigh-Benard convection	1470	(3)
A. Demircan
N. Seehafer
Star product for bimodal maps	1473	(3)
J. P. Lampreia
R. Severino
J. Sousa Ramos
Some properties of solutions of nonlinear difference equations	1476	(3)
Malgorzata Migda
Ewa Schmeidel
Parameter estimation and model selection in ODE: the lipid metabolism	1479	(3)
T. Muller
K. Winkler
J. Timmer
Oscillatory solutions of iterative functional equations	1482	(3)
W. Nowakowsk
J. Werbowski
Oscillation of linear differential equations caused by delay arguments	1485
A. Szawiola
J. Werbowski