Dynamical Systems: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 19-27, 1978 (C.I.M.E. Summer Schools, 78)

Dynamical Systems
Copyright Page
Contents
Bifurcations of Dynamical Systems
	1. Introduction
	2. Co-- dimension one examples
	3. Normal Forms:
	4. Homoclinic Orbits and Three Dimensional - Vector Fields
	5. Kneading Sequences and Bifurcations of One - Dimensional Maps
	6. Kneading Sequences, Analysis, and Applications
	7. Population - Models
	8. Bifurcations of Global Behavior
	Bibliography
Horseshoes for continuous mappings of an interval
	References
Various Aspects of Integrable Hamiltonian Systems
	1. Integrable Hamiltonian Systems
		References
	2. Examples of Integrable Systems, Isospectral Deformations
		References
	3. Reduction of a Hamiltonian System with Symmetries
		References
	4. The Inverse Square Potential
		References
	5. Extension of the Geodesic Flow
	6. Geodesics on an Ellipsoid
	7. An Integrable System on the Sphere
		References
	8. Hill\'s Equation
		References
Hopf Bifurcation for Invariant Tori
	Bibliography
Lectures on Dynamical Systems
	Introduction
	1. Periodic points, flows, diffeomorphisms, and generic properties
	2. Hyperbolic Sets and Homoclinic Points
	3. Homoclinic classes, shadowing lemma and hyperbolic basic sets
	4. Hyperbolic Limit Sets
	5. Attractors - topology
	6. Attractor-ergodic theory
	7. The measure mu A
	8. Diffeomorphisms with infinitely many attractors
	References