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Elements of differentiable dynamics and bifurcation theory
1 online resource (viii, 187 pages) : illustrations
This book provides a rigorous introduction to differentiable dynamics--the mathematical theory underlying chaos and strange attractors. These and related concepts have come to play a key role in physics with the theory of hydrodynamic turbulence, in the natural sciences of meteorology and ecology, and in economics. The basic concepts of differentiable dynamics are presented as they apply to natural phenomena, emphasizing infinite dimensional systems, non-invertible maps, attractors, and bifurcation theory. The book also includes a series of detailed problems as well as appendices that provide both general references and advanced information.
pt. I. Differentiable dynamical systems -- pt. II. Bifurcations -- pt. III. Appendices: A. Sets, topology, metric, Banach spaces -- B. Manifolds -- C. Topological dynamics and Ergodic theory -- D. Axiom A dynamical systems.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Includes bibliographical references (pages 172-182) and index.