Dissertation > Excellent graduate degree dissertation topics show

Some Dynamical Properties of Nonautonomous Systems

Author: LiangHaiLan
Tutor: SunTaiXiang
School: Guangxi University
Course: Basic mathematics
Keywords: alternating system nonautonomous system Devaneychaos topological mixing topological transitivity
CLC: O19
Type: Master's thesis
Year: 2013
Downloads: 23
Quote: 0
Read: Download Dissertation


Topological dynamical systems study mainly the qualitative proper-ties of actions of topological groups on general metric spaces. It is a very important branch of mathematics, and widely applied to physics, chem-istry, biology and other subjects. In recent years, the nonautonomous questions of nonlinear differential equations make the study of nonau-tonomous dynamical systems become a hot subject. On the subject this thesis does the following work:Chapter1introduces research background and current situation of classical dynamical systems and nonautonomous systems.Chapter2introduces some basic concepts and knowledge of dynami-cal systems.Chapter3gives three equivalent conditions of topological mixing and some conclusions of blending for an alternating system on a graph.Chapter4gives three equivalent conditions and some properties of topological transitivity for an alternating system, and some properties of recurrent set for a nonautonomous system on a compact metric space.Chapter5considers an uniformly convergent nonautonomous system, and gives a sufficient condition such that the limit system is Devaney chaotic.

Related Dissertations

  1. Solving Nonautonomous System in Reproducing Kernel Space,O241.81
  2. The Almost Periodicity态Chaotic Property and Topological Ergodicity,O415.5
  3. The Symbolic Dynamics of Some Cellular Automata Rules,O19
  4. Research on Inseparability and Dynamical Systems on Symbolic Space,O189.11
  5. Topologically transitive continuous semi- chaotic nature of flow,O189.1
  6. On the Genernal Nonautonomous Predator-Prey Kolmogorov Systems,Q141
  7. Topological Mixing of General Symbolic Dynamical Systems Subshift,O19
  8. Extension of chaotic sequence distribution,O415.5
  9. The Chaotic Linear Map in the Function Space Defined on the Plane Lattices,O189
  10. The Mixing Properties on Maps of Warsaw Circle and Dense Chaos of Tree Maps,O19
  11. The Application of Dynamical Systems in the Study of Weighted Shift Operators,O177.1
  12. Robustness with Respect to Small Delays for Exponential Stability of Distributed Parameter Control Systems,O231
  13. Exponential Characteristic of Nonautonomous Systems in Banach Spaces,O177.2
  14. The study of non autonomous dynamical model of schistosomiasis,O175
  15. Chaoticity of the Set-valued Mapping Induced by Uniform Limit Maps,O189.11
  16. Hypercyclic Operators and Related Problems,O177.1
  17. The Research on Synergetic Dynamical System of Evolution of Rock Mass Damage,O19
  18. Housdorff Dimensions of Sets of Sequences,O19
  19. Dynamical system fractal branching structure of the complex,O19
  20. With memories of discrete and continuous time dynamical systems on bifurcation behavior,O19
  21. On the Study of Asymptotically Stable for Fractional-order Neutral Retarded Dynamic Systems,O19

CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory
© 2012 www.DissertationTopic.Net  Mobile