< aN , Page 1 90 4. Ergodic theory of Axiom A diffeomorphisms A. Equilibrium states for basic
sets Recall that a function is continuous if there are constants a , 8 >0 so that - ad{x,y)8 4.1 …

1.1. Introduction to conjugacy problems for diffeomorphisms. This is a survey article on the
area of global analysis defined by differentiable dynamical systems or equivalently the …

Page 1 FOUNDATIONS OF MECHANICS SECOND EDITION RALPH ABRAHAM JERROLD
E. MARSDEN AMS CHELSEA PUBLISHING American Mathematical Society • Providence …

0. Introduction. Let M be a finite dimensional Riemann manifold without boundary. Kupka [5],
Sacker [9], and others have studied perturbations of a flow or diffeomorphism of M leaving …

Let M be a compact (Riemann) manifold and (ft): M→ M a differentiable flow. A closed (ft)-
invariant set∧⊂ M containing no fixed points is hyperbolic if the tangent bundle restricted …

This is a self-contained introduction to the classical theory of homoclinic bifurcation theory,
as well as its generalizations and more recent extensions to higher dimensions. It is also …

The future orbits of a diffeomorphism near an Axiom-A attractor are investigated. It is found
that their asymptotic behavior is in general described by a fixed probability measure μ …

THE ABUNDANCE OF WILD HYPERBOLIC SETS AND NON-SMOOTH STABLE SETS FOR
DIFFEOMORPHISMS by SHELDON E. NEWHOUSE (1) i. A fundamental problem in …

This book is an introduction to the theory of shadowing of approximate trajectories in
dynamical systems by exact ones. This is the first book completely devoted to the theory of …

LET M be a compact C” manifold without boundary. and let Dir (M) denote the space of
C'diffeomorphisms of &I with the uniform C'topology, 1 I r< co. Suppose. fE Diff'(iM) and p is a …