03317nam a22004935i 4500 978-981-99-7695-9 DE-He213 20251030111439.0 cr nn 008mamaa 240223s2024 si | s |||| 0|eng d 9789819976959 978-981-99-7695-9 10.1007/978-981-99-7695-9 doi QA843-871 GPFC bicssc MAT034000 bisacsh GPFC thema Layek, G. C. author. aut http://id.loc.gov/vocabulary/relators/aut 71589 An Introduction to Dynamical Systems and Chaos [electronic resource] / by G. C. Layek. 2nd ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XVII, 688 p. 243 illus., 49 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda University Texts in the Mathematical Sciences, 2731-9326 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. . Dynamical systems. Dynamical Systems. SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819976942 Printed edition: 9789819976966 Printed edition: 9789819976973 University Texts in the Mathematical Sciences, 2731-9326 71590 https://doi.org/10.1007/978-981-99-7695-9 ZDB-2-SMA ZDB-2-SXMS 57818 57818