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Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors /
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Catalogue Information
Field name
Details
Dewey Class
515.39
515.48
Title
Nonautonomous Dynamics ([EBook]) : Nonlinear Oscillations and Global Attractors / / by David N. Cheban.
Author
Cheban, David N.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
XXII, 434 p. 1 illus. : online resource.
Series
Springer monographs in mathematics
1439-7382
ISBN
9783030342920
Summary Note
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).:
Contents note
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. .
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-34292-0
Links to Related Works
Subject References:
Complex Systems
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Differential Equations
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Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Mathematical Applications in the Physical Sciences
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Mathematical Physics
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Ordinary differential equations
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Partial differential equations
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System theory
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Systems Theory, Control
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Authors:
author
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Cheban, David N.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer monographs in mathematics
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Classification:
515.39
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515.48
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