02986nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207100007400223245009300297250001800390264007200408300006700480336002600547337002600573338003600599347002400635490006200659505036700721520116601088650002302254650002302277710003402300773002602334776003602360776003602396776003602432830006202468856004602530978-981-99-7695-9DE-He21320251030111439.0cr nn 008mamaa240223s2024    si |    s    |||| 0|eng d  a97898199769597 a10.1007/978-981-99-7695-92doi 4aQA843-871 7aGPFC2bicssc 7aMAT0340002bisacsh 7aGPFC2thema1 aLayek, G. C.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut13aAn Introduction to Dynamical Systems and Chaosh[electronic resource] /cby G. C. Layek.  a2nd ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aXVII, 688 p. 243 illus., 49 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aUniversity Texts in the Mathematical Sciences,x2731-93260 a1. 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.  aThis 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. . 0aDynamical systems.14aDynamical Systems.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981997694208iPrinted edition:z978981997696608iPrinted edition:z9789819976973 0aUniversity Texts in the Mathematical Sciences,x2731-932640uhttps://doi.org/10.1007/978-981-99-7695-9