Nonlocal Bifurcations
Book Details
Format
Hardback or Cased Book
Book Series
Mathematical Surveys and Monographs
ISBN-10
0821804979
ISBN-13
9780821804971
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Oct 30th, 1998
Print length
286 Pages
Weight
737 grams
Product Classification:
Differential calculus & equationsDifferential calculus and equationsAlgebraic topology
Ksh 19,800.00
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Studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems. This work presents the foundations of normal forms and hyperbolic theories from the very first stages. The proofs are preceded by heuristic descriptions of the ideas.
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 explained 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.
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