An Layek, G. C. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text si 2024 2nd ed. 2024. monographic eng

electronic

electronic resource

access XVII, 688 p. 243 illus., 49 illus. in color. online resource. 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. . 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. by G. C. Layek. Dynamical systems Dynamical Systems QA843-871 9789819976959 https://doi.org/10.1007/978-981-99-7695-9 https://doi.org/10.1007/978-981-99-7695-9 240223 20251030111439.0 978-981-99-7695-9