An Introduction to Dynamical Systems and Chaos by G.C. Layek PDF

By G.C. Layek

The booklet discusses non-stop and discrete platforms in systematic and sequential methods for all points of nonlinear dynamics. the original function of the e-book is its mathematical theories on move bifurcations, oscillatory strategies, symmetry research of nonlinear platforms and chaos conception. The logically based content material and sequential orientation offer readers with a world review of the subject. a scientific mathematical technique has been followed, and a few examples labored out intimately and routines were incorporated. Chapters 1–8 are dedicated to non-stop structures, starting with one-dimensional flows. Symmetry is an inherent personality of nonlinear platforms, and the Lie invariance precept and its set of rules for locating symmetries of a approach are mentioned in Chap. eight. Chapters 9–13 concentrate on discrete structures, chaos and fractals. Conjugacy dating between maps and its houses are defined with proofs. Chaos conception and its reference to fractals, Hamiltonian flows and symmetries of nonlinear platforms are one of the major focuses of this book.
Over the prior few a long time, there was an unparalleled curiosity and advances in nonlinear platforms, chaos conception and fractals, that's mirrored in undergraduate and postgraduate curricula all over the world. The booklet comes in handy for classes in dynamical platforms and chaos, nonlinear dynamics, etc., for complex undergraduate and postgraduate scholars in arithmetic, physics and engineering.

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An Introduction to Dynamical Systems and Chaos by G.C. Layek

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