Cell-to-cell mapping : a method of global analysis for nonlinear systems / C. S. Hsu
Type de document : Livre numériqueCollection : Applied mathematical sciences, 64Langue : anglais.Éditeur : Berlin : Springer, 1987ISBN: 0387965203.ISSN: 0066-5452.Sujet MSC : 58-02, Research exposition (monographs, survey articles) pertaining to global analysis37C70, Smooth dynamical systems: general theory, Attractors and repellers and their topological structure
37Bxx, Dynamical systems and ergodic theory - Topological dynamicsEn-ligne : Numir | Springerlink
This monograph is an introduction to the methods of cell-to-cell mappings and their application to the study of global behavior of (both deterministic and stochastic) nonlinear systems. The leading idea of these methods is to divide the (continuum) state space into cells and study the corresponding cell-to-cell mappings. These methods are computer-oriented and make it possible to obtain concrete results for highly nonlinear systems (location of attractors and domains of attraction, determination of their statistical properties etc.). The theory of cell-to-cell mappings has been (and still is being) developed by the present author and his collaborators; there are many open problems to be solved by pure mathematicians, numerical analysts and computer scientists. (Zentralblatt)
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