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.

In the third edition there is a chapter on applications and extensions of standard ODE approaches, for example, to delay equations, to differential-algebraic equations, and to reaction-diffusion problems. Additional material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many further references.

Practical, hands-on approach Many examples and applications from science and engineering Numerical Approach Non-technical approach, only calculus required as background. Includes supplementary material: sn.pub/extras

Autorentext

Rüdiger U. Seydel is professor emeritus of numerical analysis. He is the former head of a research group on computational finance at the University of Cologne. He also worked in bifurcation and dynamical systems.

Inhalt
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.