退出可食用 发表于 2025-3-26 23:44:20
The Global Dynamics of Impact Oscillators,or combines the behaviour of systems which have smooth dynamics between collisions (or .)with discontinuous changes in the dynamics at each impact. Such systems arise frequently in applications both in engineering and in physics and their behaviour can be remarkably rich. They are important, not onlBULLY 发表于 2025-3-27 04:25:04
http://reply.papertrans.cn/83/8223/822231/822231_32.pngNEXUS 发表于 2025-3-27 07:27:23
,Hénon Mappings in the Complex Domain,es, . = .. ∩ .., and . = .. ∩ ... In this paper we identify the topological structure of these sets when . is hyperbolic and |a| is sufficiently small, .., when . is a small perturbation of the polynomial .. The description involves projective and inductive limits of objects defined in terms of . al凶兆 发表于 2025-3-27 11:32:20
Symbolic Dynamics, Group Automorphisms and Markov Partitions,ntropy and Markov partitions. The first part is about subshifts of finite type. Subshifts of finite type have been studied in dynamics and in information theory from a number of different points of view. C. Shannon in 1948 studied them in an information theory context because they model informat鼓掌 发表于 2025-3-27 14:36:27
Dynamics of Ordinary Differential Equations,ial equations; our understanding of the behaviour over a range of parameter values is built up by combining classical results, results from local and global bifurcation theory, and numerical experiments. In particular, combinatorial schemes for accounting for all periodic orbits and bifurcations inCRUC 发表于 2025-3-27 21:49:04
Introduction to Hyperbolic Dynamics,rphisms. But, even when the global behaviour is not hyperbolic, it occurs very frequently that the set of points whose orbits are constrained to stay in some appropriate open subset of the manifold is compact and has a hyperbolic structure. Such hyperbolic compact invariant sets then provide a goodSOBER 发表于 2025-3-28 01:09:15
Ergodic Theory of Differentiable Dynamical Systems,rphism of a Riemannian manifold and . is an .-invariant Borel probability measure. After a brief review of abstract ergodic theory, Lyapunov exponents are introduced, and families of stable and unstable manifolds are constructed. Some relations between metric entropy, Lyapunov exponents and Hausdorfassent 发表于 2025-3-28 02:28:56
Book 1995ical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians.欢笑 发表于 2025-3-28 09:03:00
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The Global Dynamics of Impact Oscillators,y because they simulate many real phenomena but also because they introduce much new mathematics and lead naturally to the study of . dynamical systems. The purpose of these notes is to give an introduction both to the rich variety of the dynamical behaviour of these systems and also to the new mathematical techniques involved in their study.