書誌事項

Homology and dynamical systems

by John M. Franks

(Regional conference series in mathematics, no. 49)

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1982

  • : pbk

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注記

Reprinted with corrections, 1989

"Expository lectures from the CBMS regional conference held at Emory University, August 18-22, 1980"--Verso t.p

Bibliography: p. 117-120

内容説明・目次

内容説明

Presents research on the connections between dynamics and topology, treating the fundamental problem - what dynamics can occur in a prescribed homological setting - via algebraic chain complexes derived from the unstable manifold decomposition of dynamics.

目次

  • Hyperbolic chain recurrent sets Morse gradients Symbolic dynamics for basic sets Smale diffeomorphisms Zeta functions Morse inequalities Morse-Smale diffeomorphisms Morse-Smale flows Smale flows Flows on $S^3$ Beyond the theme
  • Appendix A. Subshifts as basic sets
  • Appendix B. Constructing fitted diffeomorphisms References.

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