This book contains computational methods for numerically computing steady state and Hopf bifurcations. It is probably the first textbook to describe these types of numerical bifurcation techniques. The book requires only a basic knowledge of calculus, and uses detailed examples, problems, and figures. This will be appropriate as a textbook for graduate students. In the third edition there is a chapter on applications and extensions of standard ODE approaches, forexample, to delay equations, to differential-algebraic equations, and to reaction-diffusion problems. Additional material is inserted, including the topicsdeterministic risk, pattern formation, and control of chaos, and many furtherreferences. Practical, hands-on approach Many examples and applications from science and engineering Numerical Approach Non-technical approach, only calculus required as background. INDICE: Contents: Preface.- Notation.- Introduction and Prerequisites.- Basic Nonlinear Phenomena.- Applications and Extensions.-Principles of Continuation.- Calculation of the Branching Behavior of Nonlinear Equations.- Calculating Branching Behavior of Boundary-Value Problems.- Stability of Periodic Solutions.- Qualitative Instruments.- Chaos.- Appendices.- List of Major Examples.-References.- Index.
- ISBN: 978-1-4419-1739-3
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 483
- Fecha Publicación: 01/02/2010
- Nº Volúmenes: 1
- Idioma: Inglés