An Introduction to Dynamical Systems and Chaos - download pdf or read online

By G.C. Layek

The publication discusses non-stop and discrete platforms in systematic and sequential ways for all elements of nonlinear dynamics. the original function of the booklet is its mathematical theories on stream bifurcations, oscillatory options, symmetry research of nonlinear structures and chaos concept. The logically established content material and sequential orientation supply readers with a world evaluation of the subject. a scientific mathematical method has been followed, and a few examples labored out intimately and routines were integrated. Chapters 1–8 are dedicated to non-stop platforms, 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 process are mentioned in Chap. eight. Chapters 9–13 concentrate on discrete platforms, chaos and fractals. Conjugacy dating between maps and its homes 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 unheard of curiosity and advances in nonlinear structures, chaos conception and fractals, that is mirrored in undergraduate and postgraduate curricula around the globe. 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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The publication discusses non-stop and discrete platforms in systematic and sequential methods for all features of nonlinear dynamics. the original characteristic of the ebook is its mathematical theories on stream bifurcations, oscillatory recommendations, symmetry research of nonlinear structures and chaos concept. The logically based content material and sequential orientation offer readers with a world evaluation of the subject.

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


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