eBook - ePub
Recent Improvements in the Theory of Chaotic Attractors
- 262 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Recent Improvements in the Theory of Chaotic Attractors
About this book
This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.
The theory of chaotic attractors has experienced exceptional development over the last fifty years since the revelation of chaos in mathematics (invented by James Yorke) and symbolized by the "butterfly effect". Relevant new results have been collected in this book, including:
- Some remarks on minimal sets on dendrites and finite graphs and the study of recurrence and nonwandering sets of local dendrite maps.
- Ramified continua as global attractors of C1- smooth self-maps of a cylinder close to skew products
- Chaotic behaviour of countable products of homeomorphism groups and dynamics of three-dimensional axiom A-diffeomorphisms with two-dimensional attractors and repellers.
- The search for invariant sets of the generalized tent map and quasi-hyperbolic regime in a certain family of 2-D piecewise linear map.
- Shilnikov attractors of three-dimensional flows and maps, right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis and diffeomorphisms with infinitely many Smale horseshoes.
The theory of chaotic attractor is also used as a core for evolutionary algorithms and metaheuristic optimizers in this volume.
This book will be of great value to students and researchers in mathematics, physics, engineering, and related disciplines seeking to deepen their understanding of chaotic dynamical systems and their applications.
The chapters in this book were originally published in Journal of Difference Equations and Applications.
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Yes, you can access Recent Improvements in the Theory of Chaotic Attractors by René Lozi,Lyudmila Efremova,Michal Pluháček in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Citation Information
- Notes on Contributors
- Introduction: recent improvements in the theory of chaotic attractors
- 1 On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps
- 2 Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis
- 3 Search for invariant sets of the generalized tent map
- 4 On Shilnikov attractors of three-dimensional flows and maps
- 5 Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives
- 6 Chaos in popular metaheuristic optimizers – a bibliographic analysis
- 7 Ramified continua as global attractors of C1-smooth self-maps of a cylinder close to skew products
- 8 Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers
- 9 Chaotic behaviour of countable products of homeomorphism groups
- 10 Remarks on minimal sets on dendrites and finite graphs
- 11 Recurrence and nonwandering sets of local dendrite maps
- 12 Diffeomorphisms with infinitely many Smale horseshoes
- Index