WIAS Preprint No. 571, (2000)

Homoclinic orbits: Since Poincaré till today


Authors

  • Shilnikov, Leonid

2010 Mathematics Subject Classification

  • 37C29 01A65 37G25 37C15 37D45

Keywords

  • strange attractors, spiral chaos, Smale horseshoe, geodesic flows, Hamiltonian systems, homoclinic tangency, Newhouse phenomenon, bifurcation

DOI

10.20347/WIAS.PREPRINT.571

Abstract

The history and the contemporary results in homoclinic orbits are reported.

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