Forcing relations for homoclinic orbits of the Smale horseshoe map.
Collins, Pieter (2005)
Experimental Mathematics
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Displaying similar documents to “The nonlinearly damped oscillator”
Forcing relations for homoclinic orbits of the Smale horseshoe map.
Alternative transfers to the NEOs 99942 apophis, 1994 WR12, and 2007 UW1 via derived trajectories from periodic orbits of family G.
de Melo, C.F., Macau, E.E.N., Winter, O.C. (2009)
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Marek C. Zdun (1976)
Colloquium Mathematicae
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How restrictive is topological dynamics?
Anzelm Iwanik (1997)
Commentationes Mathematicae Universitatis Carolinae
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Let be a permutation of an abstract set . In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the -orbits that allows us to topologize as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for -actions without periodic points.
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Aleksander Całka (1984)
Colloquium Mathematicae
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Natural group actions on tensor products of three real vector spaces with finitely many orbits.
Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Orbits connecting singular points in the plane
Changming Ding (2005)
Czechoslovak Mathematical Journal
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This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed. ...
Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites.
Lara, Martin, Palacián, Jesús F. (2009)
Mathematical Problems in Engineering
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