Download e-book for iPad: An Introduction to Dynamical Systems and Chaos by G.C. Layek

By G.C. Layek

ISBN-10: 8132225554

ISBN-13: 9788132225553

The ebook discusses non-stop and discrete platforms in systematic and sequential ways for all points of nonlinear dynamics. the original function of the booklet is its mathematical theories on circulation bifurcations, oscillatory ideas, symmetry research of nonlinear platforms and chaos idea. The logically dependent content material and sequential orientation supply readers with an international assessment of the subject. a scientific mathematical procedure has been followed, and a few examples labored out intimately and routines were integrated. 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 specialize in discrete platforms, chaos and fractals. Conjugacy courting between maps and its houses are defined with proofs. Chaos thought and its reference to fractals, Hamiltonian flows and symmetries of nonlinear structures are one of the major focuses of this book.
 
Over the prior few many years, there was an extraordinary curiosity and advances in nonlinear structures, chaos thought and fractals, that is mirrored in undergraduate and postgraduate curricula world wide. The e-book turns out to be useful 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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By G.C. Layek

ISBN-10: 8132225554

ISBN-13: 9788132225553

The ebook discusses non-stop and discrete platforms in systematic and sequential ways for all points of nonlinear dynamics. the original function of the booklet is its mathematical theories on circulation bifurcations, oscillatory ideas, symmetry research of nonlinear platforms and chaos idea. The logically dependent content material and sequential orientation supply readers with an international assessment of the subject. a scientific mathematical procedure has been followed, and a few examples labored out intimately and routines were integrated. 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 specialize in discrete platforms, chaos and fractals. Conjugacy courting between maps and its houses are defined with proofs. Chaos thought and its reference to fractals, Hamiltonian flows and symmetries of nonlinear structures are one of the major focuses of this book.
 
Over the prior few many years, there was an extraordinary curiosity and advances in nonlinear structures, chaos thought and fractals, that is mirrored in undergraduate and postgraduate curricula world wide. The e-book turns out to be useful for classes in dynamical platforms and chaos, nonlinear dynamics, etc., for complex undergraduate and postgraduate scholars in arithmetic, physics and engineering.

Show description

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