A criterion for the non-existence of invariant circles
John N. Mather (1986)
Publications Mathématiques de l'IHÉS
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John N. Mather (1986)
Publications Mathématiques de l'IHÉS
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Sylvain Crovisier (2006)
Publications Mathématiques de l'IHÉS
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We prove that the chain-transitive sets of C-generic diffeomorphisms are approximated in the Hausdorff topology by periodic orbits. This implies that the homoclinic classes are dense among the chain-recurrence classes. This result is a consequence of a global connecting lemma, which allows to build by a C-perturbation an orbit connecting several prescribed points. One deduces a weak shadowing property satisfied by C-generic diffeomorphisms: any pseudo-orbit is approximated in the Hausdorff...
Ching-I Hsin (2002)
Colloquium Mathematicae
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Let A be a complex n × n matrix. Let A' be its commutant in Mₙ(ℂ), and C(A) be its centralizer in GL(n,ℂ). Consider the standard C(A)-action on ℂⁿ. We describe the C(A)-orbits via invariant subspaces of A'. For example, we count the number of C(A)-orbits as well as that of invariant subspaces of A'.
Collins, Pieter (2005)
Experimental Mathematics
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Li, Yanguang (2003)
Abstract and Applied Analysis
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Giesl, P. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Paul R. Fallone, Jr. (1971)
Czechoslovak Mathematical Journal
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