Dynamical Systems

by Jiang, Yunping; Wen, Lan

• ISBN13: 9789810241025
• ISBN10: 981024102X
• Format: Hardcover
• Copyright: 1999-09-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the International Conference in Honor of Professor Liao Shantao on Dynamical Systems held at the Peking University, China, August 9-12, 1998.

Table of Contents

About the Life of Liao Shantao	xii
List of Publications	xiii
Liao Shantao
The dynamics of the Henon-like maps	1	(5)
Yongluo Cao
Dimension, entropy and exponents of dynamical systems in metric spaces	6	(5)
Ercai Chen
Hausdorff dimension of Feigenbaum's attractor	11	(5)
Fangyue Chen
KAM theory without the twist condition	16	(7)
Chong-Qing Cheng
Zhihong Xia
Some topological structure of the flows near nontrivial minimal sets on 2-manifolds	23	(6)
Zhenxi Dong
Decay of correlation for expanding toral endomorphisms	29	(12)
Ai-Hua Fan
Nonchaos for substitution minimal systems	41	(5)
Qinjie Fan
Hui Wang
Gongfu Liao
On the limit Rademacher functions and Bernoulli convolutions	46	(4)
De-Jun Feng
On iteration of a function in the hyperbolic tangent with the real parameter	50	(5)
Yunying Gai
Xunhe Yin
A note on the obstruction sets of discrete systems	55	(7)
Shaobo Gan
On the complex motion of double pendulum	62	(4)
Ke-Ying Guan
Sheng Liu
On cyclicity of planar systems in Hopf and Poincare bifurcations	66	(9)
Maoan Han
Topological pressure of continuous flows without fixed points	75	(9)
Lian-Fa He
Zhan-Hui Lu
Fu-Hai Wang
Hong-Wen Zheng
Ergodic theory of almost hyperbolic systems	84	(15)
Huyi Hu
The Julia set of the Feigenbaum quadratic polynomial	99	(26)
Jun Hu
Yunping Jiang
Scaling and smooth conjugacy	125	(10)
Sen Hu
Locating the Floquet exponents for differential equations with a homotopy method	135	(10)
Ying S. Huang
Nonlinearity, quasisymmetry, differentiability, and rigidity in one-dimensional dynamics	145	(15)
Yunping Jiang
Global stability of numerical ordinary differential equations	160	(5)
Ming-Chia Li
The blue sky catastrophe on the Klein bottle	165	(8)
Weigu Li
Meirong Zhang
Geometric properties of homogeneous vector fields of degree n in R3	173	(5)
Zhaojun Liang
The stability of the equilibrium of planar Hamiltonian systems	178	(16)
Bin Liu
The 3D spiral structure pattern in the atmosphere	194	(6)
Shida Liu
Guojun Xin
Shikuo Liu
Fuming Liang
Ellipticity of closed characteristics on convex compact hypersurfaces in R4	200	(8)
Yiming Long
Stability and Hopf bifurcation of time-delay Lienard equations	208	(5)
Qishao Lu
Jian Xu
Existence and uniqueness of analytic solutions of iterative functional equations	213	(10)
Jiehua Mai
Xinhe Liu
Algebraic properties of trace mapping associated with substitutive sequences	223	(14)
Jacques Peyriere
Zhi-Xiong Wen
Zhi-Ying Wen
On dic-annulus surgery of rational maps	237	(14)
Kevin M. Pilgrim
Tan Lei
Infinity of subharmonics for weakly nonlinear equations	251	(5)
Dingbian Qian
Characteristic spectra for paralellotope cocycles	256	(10)
Wen Xiang Sun
On bimodal Collet-Eckmann maps	266	(4)
Lanyu Wang
Analytical solutions of a functional equation of invariant curves	270	(5)
Xiaping Wang
Jianguo Si
Absolute stability in delay differential equations	275	(6)
Junjie Wei
Shigui Ruan
An introduction to the C1 connecting lemma	281	(10)
Lan Wen
Primary patterns and lower bounds of entropy of maps of triod	291	(10)
Xiangdong Ye
Lower dimensional tori of reversible Hamiltonian systems in the resonant zone	301	(13)
Jiangong You
Quasiperiodic motions and boundedness for equations with jumping nonlinearity	314	(5)
Xiaoping Yuan
Webster curvature and Hausdorff dimension of complex hyperbolic Kleinian groups	319	(10)
Chengbo Yue
Partial entropy, bundle-like entropy and topological entropy	329	(5)
Fanping Zeng
Variational minimizing properties for N-body problems	334	(7)
Shiqing Zhang
Existence of periodic solutions for delay difference equations	341	(6)
Shunian Zhang
Hausdorff measures and some topological structures of chaotic sets of minimal chaotic subshifts of self-shift system in symbol space	347	(6)
Zengxi Zhang
List of Participants	353