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 lowdimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinitedimensional 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..
About Gerhard Dangelmayr
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Author  :  Gerhard Dangelmayr 
Publisher  :  CRC Press Inc 
Data Published  :  01 August 1996 
ISBN  :  0582229294 
EAN  :  9780582229297 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  288 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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