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Newhouse, Sheldon E.

Lectures on dynamical systems. (English) Zbl 0444.58001

Dynamical systems, C.I.M.E. Lect., Bressanone 1978, Prog. Math. 8, 1-114 (1980).
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Cited in 2 Reviews
Cited in 44 Documents

MSC:

58-02 Research exposition (monographs, survey articles) pertaining to global analysis
37D15 Morse-Smale systems
37C75 Stability theory for smooth dynamical systems
37A99 Ergodic theory
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
37D99 Dynamical systems with hyperbolic behavior
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion

Keywords:

ergodic theory of attractors; wild hyperbolic sets; hyperbolic points of a diffeomorphism; theorem of Kupka-Smale; periodic points; nonwandering points; closing lemma; Smale’s horseshoe; Smale homoclinic theorem; shadowing lemma; hyperbolic basic sets; axiom A diffeomorphisms; structural stability; attractor of a diffeomorphism; 1-dimensional hyperbolic attractors

Citations:

Zbl 0431.00016
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