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Nonautonomous Dynamics


Nonautonomous Dynamics

Nonlinear Oscillations and Global Attractors
Springer Monographs in Mathematics

von: David N. Cheban

96,29 €

Verlag: Springer
Format: PDF
Veröffentl.: 22.01.2020
ISBN/EAN: 9783030342920
Sprache: englisch

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Beschreibungen

This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. 

The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). 

The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics,  mathematical theory of climate, population dynamics, oscillation theory etc).
Almost Periodic Motions of Dynamical Systems.- Compact Global Attractors.- Analytical Dissipative Systems.- Almost Periodic Solutions of Linear Differential Equations.- Almost Periodic Solutions of Monotone Differential Equations.- Gradient-Like Dynamical Systems. 
This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics,  mathematical theory of climate, population dynamics, oscillation theory etc).
Contributes to understanding and predicting global attractors for a special class of nonautonomous dynamical systems 

Author is a leading expert in dynamical systemsSuccessfully applied to the resolution of different problems in the theory of linear and non-linear nonautonomous differential equations for more than 50 years

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