An Introduction to Dynamical Systems and Chaos - 9788132237945

An Introduction to Dynamical Systems and ChaosAuthor(s): G.C. Layek\nFormat: Paperback\nPublisher: Springer, India, Private Ltd, India\nImprint: Springer, India, Private Ltd\nISBN-13: 9788132237945, 978-8132237945\nSynopsis\nThe 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 a number of examples worked out in detail and exercises have been included. Chapters 18 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are disc.