Franks, John M. Homology and dynamical systems. (English) Zbl 0497.58018 Regional Conference Series in Mathematics, 49. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-1700-0). viii, 120 p. (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 86 Documents MSC: 37D99 Dynamical systems with hyperbolic behavior 37D15 Morse-Smale systems 37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics 37G99 Local and nonlocal bifurcation theory for dynamical systems 37C10 Dynamics induced by flows and semiflows 55M20 Fixed points and coincidences in algebraic topology Keywords:homological description of dynamical systems; dynamical systems having hyperbolic chain recurrent sets; flows generated by Morse functions; symbolic dynamics for basic sets; symbolic dynamics of Smale diffeomorphisms; rationality of the zeta function; Morse inequalities for a diffeomorphism; periodic data for Morse-Smale diffeomorphisms; Morse- Smale flows; flows having one-dimensional hyperbolic chain recurrent sets; nonsingular Morse-Smale flows on the 3-sphere with prescribed structure of closed orbits; trajectories connecting two rest points of a gradient-like flow × Cite Format Result Cite Review PDF