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Nonlocal Bifurcations Book PDF Summary

This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems. These bifurcations provide a series of fascinating new scenarios for the transition from simple dynamical systems to complicated ones. The main effects are the generation of hyperbolic periodic orbits, nontrivial hyperbolic invariant sets and the elements of hyperbolic theory. All results are rigorously proved and exposed in a uniform way. The foundations of normal forms and hyperbolic theories are presented from the very first stages. The proofs are preceded by heuristic descriptions of the ideas. The book contains new results, and many results have not previously appeared in monograph form.

Detail Book of Nonlocal Bifurcations PDF

Nonlocal Bifurcations
  • Author : I︠U︡. S. Ilʹi︠a︡shenko
  • Release : 20 September 1999
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821804971
  • Genre : Mathematics
  • Total Page : 303 pages
  • Language : English
  • PDF File Size : 15,8 Mb

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