Details

Nonautonomous Dynamics


Nonautonomous Dynamics

Nonlinear Oscillations and Global Attractors
Springer Monographs in Mathematics

von: David N. Cheban

CHF 130.00

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

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Beschreibungen

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

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

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