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. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
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 ...
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.
Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and...
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.
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.
Baek , E. , and Brock , W. 1988b . An Alternate Approach to Specification Error Test , Iowa State University and University of Wisconsin , Madison . Barnett , W. , Berndt , E. , and White , H. , eds . 1988. Dynamic Econometric Modelling ...
Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments.
The Student Solutions Manual, by Mitchal Dichter, includes solutions to the odd-numbered exercises featured in Nonlinear Dynamics and Chaos, second edition.