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By G.C. Layek

The ebook discusses non-stop and discrete platforms in systematic and sequential ways for all facets of nonlinear dynamics. the original characteristic of the ebook is its mathematical theories on movement bifurcations, oscillatory recommendations, symmetry research of nonlinear structures and chaos thought. The logically based content material and sequential orientation offer readers with an international evaluate of the subject. a scientific mathematical technique has been followed, and a couple of examples labored out intimately and workouts were incorporated. Chapters 1–8 are dedicated to non-stop structures, starting with one-dimensional flows. Symmetry is an inherent personality of nonlinear structures, and the Lie invariance precept and its set of rules for locating symmetries of a procedure are mentioned in Chap. eight. Chapters 9–13 specialize in discrete platforms, chaos and fractals. Conjugacy courting between maps and its houses are defined with proofs. Chaos concept and its reference to fractals, Hamiltonian flows and symmetries of nonlinear platforms are one of the major focuses of this book.
Over the earlier few many years, there was an extraordinary curiosity and advances in nonlinear platforms, chaos concept and fractals, that's mirrored in undergraduate and postgraduate curricula around the globe. The publication comes in handy for classes in dynamical structures and chaos, nonlinear dynamics, etc., for complicated 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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