| Description |
1 online resource (xvii, 688 pages) : illustrations (some color) |
| Series |
University texts in the mathematical sciences, 2731-9326 |
|
University texts in the mathematical sciences, 2731-9326
|
| Contents |
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. |
| Summary |
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-Tkens bifurcation, canonical invariant and symmetry properties, turbulent planar plume flow, and dynamics on circle, organized structure in chaos and multifractals |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed February 26, 2024) |
| Subject |
Dynamics.
|
|
Chaotic behavior in systems.
|
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Ergodic theory.
|
|
Dinámica
|
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Comportamiento caótico en sistemas
|
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Teoría ergódica
|
| Form |
Electronic book
|
| ISBN |
9789819976959 |
|
9819976952 |
|
