Nonlinear differential equations and dynamical systems verhulst pdf
Math § 1 - - - Supplementary MaterialsUse the link below to share a full-text version of this article with your friends and colleagues. Learn more. Volume 72 , Issue 1. The full text of this article hosted at iucr. If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account. If the address matches an existing account you will receive an email with instructions to retrieve your username. Book Review.
Ordinary Differential Equations, Spring 2002 (G63.2470)
Featuring five incredible women who will prove to be every bit as beloved as Lou Clark, the unforgettable heroine of Me Before You. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed. Stability theory is developed starting with linearisation methods going back to Lyapunov and Poincare. The global direct method is then discussed. To obtain more quantitative information the Poincare-Lindstedt method is introduced to approximate periodic solutions while at the same time proving existence by the implicit function theorem. The last four chapters introduce the reader to relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, Hamiltonian systems recurrence, invariant tori, periodic solutions. The book presents the subject material from both the qualitative and the quantitative point of view.
It seems that you're in Germany. We have a dedicated site for Germany. On the subject of differential equations many elementary books have been written. This book bridges the gap between elementary courses and research literature. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed first. In the last four chapters more advanced topics like relaxation oscillations, bifurcation theory, chaos in mappings and differential equations, Hamiltonian systems are introduced, leading up to the frontiers of current research: thus the reader can start to work on open research problems, after studying this book. This new edition contains an extensive analysis of fractal sets with dynamical aspects like the correlation- and information dimension.