Nonlinear Science and Complexity

by Machado, J. A. Teneiro; Luo, Albert C. J.; Barbosa, Ramiro S.; Silva, Manuel F.; Figueiredo, Lino B.

• ISBN13: 9789048198832
• ISBN10: 9048198836
• Format: Hardcover
• Copyright: 2010-11-11
• Publisher: Springer Verlag

Summary

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include'¢ Chaotic Dynamics and Transport in Classic and Quantum Systems'¢ Complexity and Nonlinearity in Molecular Dynamics and Nano-Science'¢ Complexity and Fractals in Nonlinear Biological Physics and Social Systems'¢ Lie Group Analysis and Applications in Nonlinear Science'¢ Nonlinear Hydrodynamics and Turbulence'¢ Bifurcation and Stability in Nonlinear Dynamic Systems'¢ Nonlinear Oscillations and Control with Applications'¢ Celestial Physics and Deep Space Exploration'¢ Nonlinear Mechanics and Nonlinear Structural Dynamics'¢ Non-smooth Systems and Hybrid Systems'¢ Fractional dynamical systems

Table of Contents

Nonlinear Dynamics of Continuous and Discontinuous Dynamical Systems
On Synchronization and Its Complexity of Multiple Dynamical Systems	p. 3
Periodic and Chaotic Motions in a Gear-pair Transmission System with Impacts	p. 13
Analytical Prediction of Interrupted Cutting Periodic Motions in a Machine Tool	p. 25
Control of Hopf Bifurcation and Chaos as Applied to Multimachine System	p. 37
Lie Group Analysis and Applications in Nonlinear Sciences
Group-Invariant Solutions of Fractional Differential Equations	p. 51
Type-II Hidden Symmetries for Some Nonlinear Partial Differential Equations	p. 61
Nonclassical and Potential Symmetries for a Boussinesq Equation with Nonlinear Dispersion	p. 67
Application of the Composite Variational Principle to Shallow Water Equations	p. 73
Conserved Forms of Second Order-Ordinary Differential Equations	p. 79
Analytical Investigation of a Two-Phase Model Describing a Three-Way-Catalytic Converter	p. 85
Celestial Mechanics and Dynamical Astronomy: Methods and Applications
The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxies	p. 95
Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem	p. 99
Low-Energy Transfers in the Earth-Moon System	p. 107
Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk	p. 115
An Accounting Device for Biasymptotic Solutions: The Scattering Map in the Restricted Three Body Problem	p. 123
Optimal Capture Trajectories Using Multiple Gravity Assists	p. 125
New Periodic Orbits in the Solar Sail Three-Body Problem	p. 131
A Review of Invariant Manifold Dynamics of the CRTBP and some Applications	p. 139
Solar Sail Orbits at the Earth-Moon Libration Points	p. 147
Mathematical Modeling of Nonlinear Structures in Bose-Einstein Condensates
Collisions of Discrete Breathers in Nonlinear Schrödinger and Klein-Gordon Lattices	p. 159
Stability of BEC Systems in Nonlinear Optical Lattices	p. 165
Nonlinear Schrödinger Equations with a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis	p. 173
Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions over Squared Solutions	p. 181
Mathematical Models in Engineering
Impulsive Boundary Layer Flow Past a Permeable Quadratically Stretching Sheet	p. 191
Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach	p. 199
Numerical Solution of a PDE System with Non-Linear Steady State Conditions that Translates the Air Stripping Pollutants Removal	p. 211
Three Behavioural Scenarios for Contingent Claims Valuation in Incomplete Markets	p. 221
Undesired Oscillations in Pneumatic Systems	p. 229
A Study of Correlation and Entropy for Multiple Time Series	p. 245
Characterization and Parameterization of the Singular Manifold of a Simple 6-6 Stewart Platform	p. 255
Fractional Calculus Applications
Some Advances on Image Processing by Means of Fractional Calculus	p. 265
Application of Genetic Algorithms in the Design of an Electrical Potential of Fractional Order	p. 273
Mellin Transform for Fractional Differential Equations with Variable Potential	p. 281
Phase Plane Characteristics of Marginally Stable Fractional Order Systems	p. 293
Application of Fractional Controllers for Quad Rotor	p. 303
Regularity of a Degenerated Convolution Semi-Group Without to Use the Poisson Process	p. 311
Computational Techniques for Engineering Sciences
Image Processing for the Estimation of Drop Distribution in Agitated Liquid-Liquid Dispersion	p. 321
Music and Evolutionary Computation	p. 329
Application of Computational Intelligence to Engineering	p. 337
Evolutionary Trajectory Optimization for Redundant Robots	p. 347
Nonlinear Systems
Robust Communication-Masking via a Synchronized Chaotic Lorenz Transmission System	p. 357
A Boundary Layer Problem in Power Law Fluids through a Moving Flat Plate	p. 367
An Overview of the Behaviour of a Scattering Map for the Dynamics of Two Interacting Particles in a Uniform Magnetic Field	p. 375
A Generalised Entropy of Curves Approach for the Analysis of Dynamical Systems	p. 381
Uncertainty on a Bertrand Duopoly with Product Differentiation	p. 389
Price-Setting Dynamical Duopoly with Incomplete Information	p. 397
Inductor-Free Version for Chua's Oscillator Based in Electronic Analogy	p. 405
Model Reduction of Nonlinear Continuous Dynamic Systems on Inertial Manifolds with Delay	p. 413
A Fuzzy Crisis in a Duffing-Van der Pol System	p. 419
Name Index	p. 425
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