Ebook: Bifurcation and Chaos in Discontinuous and Continuous Systems
Author: Michal Fečkan (auth.)
- Tags: Theoretical Mathematical and Computational Physics, Mechanics, Dynamical Systems and Ergodic Theory, Vibration Dynamical Systems Control, Analysis
- Series: Nonlinear Physical Science
- Year: 2011
- Publisher: Springer Berlin Heidelberg
- Edition: Jointly published with Higher Education Press2011
- Language: English
- pdf
"Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well.
This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems.
Dr. Michal Fe?kan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations.
"Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well.
This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems.
Dr. Michal Fe?kan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations.
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-7
Preliminary Results....Pages 9-28
Chaos in Discrete Dynamical Systems....Pages 29-85
Chaos in Ordinary Differential Equations....Pages 87-165
Chaos in Partial Differential Equations....Pages 167-248
Chaos in Discontinuous Differential Equations....Pages 249-334
Concluding Related Topics....Pages 335-374
Back Matter....Pages 375-378
"Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well.
This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems.
Dr. Michal Fe?kan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations.
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-7
Preliminary Results....Pages 9-28
Chaos in Discrete Dynamical Systems....Pages 29-85
Chaos in Ordinary Differential Equations....Pages 87-165
Chaos in Partial Differential Equations....Pages 167-248
Chaos in Discontinuous Differential Equations....Pages 249-334
Concluding Related Topics....Pages 335-374
Back Matter....Pages 375-378
....