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An introduction to dynamical systems and chaos

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to dynamical systems and chaosby G. C. Layek.
Author:	Layek, G. C.
Published:	Singapore :Springer Nature Singapore :2024.
Description:	xvii, 688 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Dynamics.
Online resource:	https://doi.org/10.1007/978-981-99-7695-9
ISBN:	9789819976959$q(electronic bk.)

An introduction to dynamical systems and chaos
Layek, G. C.

An introduction to dynamical systems and chaos[electronic resource] /by G. C. Layek. - Second edition. - Singapore :Springer Nature Singapore :2024. - xvii, 688 p. :ill. (some col.), digital ;24 cm. - University texts in the mathematical sciences,2731-9326. - University texts in the mathematical sciences..

1. Continuous Dynamical Systems -- 2. Linear Systems -- 3. Phase Plane Analysis -- 4. Stability Theory -- 5. Oscillation -- 6. Theory of Bifurcations -- 7. Hamiltonian Systems -- 8. Symmetry Analysis -- 9. Discrete Dynamical Systems -- 10. Some maps -- 11. Conjugacy Maps -- 12. Chaos -- 13. Fractals -- 14. Turbulence: Reynolds to Kolmogrov and Beyond -- Index.

This book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems, and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and several examples are worked out in detail and exercises have been included. The book is useful for courses in dynamical systems and chaos and nonlinear dynamics for advanced undergraduate and graduate students in mathematics, physics, and engineering. The second edition of the book includes a new chapter on Reynold and Kolmogrov turbulence. The entire book is thoroughly revised and includes several new topics: center manifold reduction, quasi-periodic oscillation, pitchfork bifurcation, transcritical bifurcation, Bogdonov-Takens bifurcation, canonical invariant and symmetry properties, turbulent planar plume flow, and dynamics on circle, organized structure in chaos and multifractals.

ISBN: 9789819976959$q(electronic bk.)

Standard No.: 10.1007/978-981-99-7695-9doiSubjects--Topical Terms:

189568
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

An introduction to dynamical systems and chaos
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505 0 $a 1. Continuous Dynamical Systems -- 2. Linear Systems -- 3. Phase Plane Analysis -- 4. Stability Theory -- 5. Oscillation -- 6. Theory of Bifurcations -- 7. Hamiltonian Systems -- 8. Symmetry Analysis -- 9. Discrete Dynamical Systems -- 10. Some maps -- 11. Conjugacy Maps -- 12. Chaos -- 13. Fractals -- 14. Turbulence: Reynolds to Kolmogrov and Beyond -- Index.
520 $a This book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems, and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and several examples are worked out in detail and exercises have been included. The book is useful for courses in dynamical systems and chaos and nonlinear dynamics for advanced undergraduate and graduate students in mathematics, physics, and engineering. The second edition of the book includes a new chapter on Reynold and Kolmogrov turbulence. The entire book is thoroughly revised and includes several new topics: center manifold reduction, quasi-periodic oscillation, pitchfork bifurcation, transcritical bifurcation, Bogdonov-Takens bifurcation, canonical invariant and symmetry properties, turbulent planar plume flow, and dynamics on circle, organized structure in chaos and multifractals.
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