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Homoclinic Points of Principal Algebraic Actions
2016The 1999 paper by D. Lind and K. Schmidt on homoclinic points of a special class of dynamical systems—the so called algebraic \({{\mathrm{\mathbb {Z}^d}}}\)-actions—attracted a lot of interest to the study of homoclinic points. In the present paper we review the developments over the past 15 years. Major progress has been made in questions of existence
Martin Göll, Evgeny Verbitskiy
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Three-Body Problem, Poincaré Recurrence, Homoclinic Points
2014In this session we will change the subject and come back to more fundamental questions in physics. The main subject I propose to talk about is the many body problem. As a first step, let me ask you; what is a two-body system? What are the special points?
Ali Sanayei, Otto E. Rössler
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Three dimensional expansive diffeomorphisms with homoclinic points
Boletim da Sociedade Brasileira de Matem�tica, 1996Let \(M\) be a compact connected oriented three-dimensional manifold and let \(f:M \to M\) be an expansive diffeomorphism such that \(\Omega (f)=M\). The author proves that if there exists a hyperbolic periodic point with a homoclinic intersection then \(f\) is conjugate to an Anosov isomorphism of \(T^3\).
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Homoclinic Points of Area Preserving Diffeomorphisms
American Journal of Mathematics, 1974McGehee, Richard, Meyer, Kenneth
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Homoclinic points near elliptic fixed points
Communications on Pure and Applied Mathematics, 1973openaire +2 more sources
Local and global behavior near homoclinic orbits
Journal of Statistical Physics, 1984Paul Glendinning
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Constructing dynamical systems having homoclinic bifurcation points of codimension two
Journal of Dynamics and Differential Equations, 1997Bjorn Sandstede
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