Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. * Expands on the bestselling, highly regarded first edition * A new chapter which will cover the new research in the area since first edition * Glossary of terms and a bibliography have been added * All figures and illustrations will be 'modernised' * Comprehensive and systematic account of nonlinear dynamics and chaos, still a fast-growing area of applied mathematics * Highly illustrated * Excellent introductory text, can be used for an advanced undergraduate/graduate course text
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition....
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.
Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such sys
In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics.
E. E. Peters , Chaos and Order in the Capital Markets ( Wiley , New York , 1991 ) . ... Rosario N. Mantegna and H. Eugene Stanley , An Introduction to Econophysics ( Cambridge University Press , New York , 1999 ) .
So we decided to transcribe it and include it here as the ?rst section of the book. This book is a collection of contributions on various aspects of active frontier research in the field of dynamical systems and chaos.
Complete with graphs and worked-out solutions, this manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects Strogatz explores in his popular book.
Then we have the following Morse lemma. Lemma 14.8.3 (Morse) If F is a Cr, r ≥ 3, or analytic Morse function near x = 0, then in a neighborhood of x = 0 there exists a Cr−2, or analytic diffeomorphism, which transforms F to the form ...
This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general.
Nonlinear Dynamics and Chaos in Semiconductors is the first book to concentrate on specific physical and ex