Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability: 352 - Brossura

Dangelmayr, G; Kirchgassner, K; Fiedler, B; Mielke, Alexander

Brossura

ISBN 10: 0582229294 ISBN 13: 9780582229297

Casa editrice: Chapman and Hall/CRC, 1996

Riassunto

The mathematical description of complex spatiotemporal behaviour observed in dissipative continuous systems is a major challenge for modern research in applied mathematics. While the behaviour of low-dimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinite-dimensional behaviour --not a priori accessible to the methods of finite dimensionaldynamical systems. The purpose of the four contributions in this book is to present some recent and active lines of research in evolution equations posed in large or unbounded domains. One of the most prominent features of these systems is the propagation of various types of patterns in the form of waves, such as travelling and standing waves and pulses and fronts. Different approaches to studying these kinds of phenomena are discussed in the book. A major theme is the reduction of an original evolution equation in the form of a partial differential equation system to a simpler system of equations, either a system of ordinary differential equation or a canonical system of PDEs. The study of the reduced equations provides insight into the bifurcations from simple to more complicated solutions and their stabilities. .

Su questo libro

Contenuti

Introduction and Overview
Chapter 1 Ginzburg-Landau description of waves in extended systems, G Dangelmayr
Chapter 2 Global pathfollowing of homoclinic orbits in two-parameter flows, B Fiedler
Chapter 3 Stability of fronts for a KPP-system - the noncritical case, K Kirchg‰ssner and G Raugel
Chapter 4 A spatial center manifold approach to steady state bifurcations from spatially periodic patterns, A Mielke
References

Dettagli dell'edizione

• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0582229294
• ISBN 13: 9780582229297
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 288
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile