Different asymptotic behavior versus same dynamical complexity: Recurrence & (ir)regularity

Introduction to the modern theory of dynamical systems

Choice Reviews Online · 1996 · 3.8K citations

Natural Sciences, Mathematics, Physics +14

Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

Michael Jakobson · Communications in Mathematical Physics · 1981 · 646 citations

Natural Sciences, Mathematics, Probability Theory +8

An Ergodic Closing Lemma

Ricardo Mañé · Annals of Mathematics · 1982 · 373 citations

Natural Sciences, Mathematics, Probability Theory +8

Sets of “Non-typical” points have full topological entropy and full Hausdorff dimension

Luís Barreira, Jörg Schmeling · Israel Journal of Mathematics · 2000 · 366 citations

Natural Sciences, Mathematics, Probability Theory +11

Periodic points and measures for Axiom $A$ diffeomorphisms

Rufus Bowen · Transactions of the American Mathematical Society · 1971 · 345 citations

Natural Sciences, Mathematics, Dynamical Systems +10