A uniform C^1 connecting lemma

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January 2002, 8(1): 257-265. doi: 10.3934/dcds.2002.8.257

A uniform $C^1$ connecting lemma

1.	School of Mathematic Sciences, Peking University, Beijing, 100871, China

Received July 2001 Published October 2001

Abstract
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We prove there are uniform bounds for quantities that guarantee C1 connecting of orbits. Here the uniformity is with respect to all systems in a $C^1$ neighborhood of the given system, and with respect to certain set of accumulation points.

Keywords: $C^1$ connecting lemma, $C^1$ perturbation, $\epsilon$-kernel transition..

Mathematics Subject Classification: 37Cxx, 37Dx.

Citation: Lan Wen. A uniform $C^1$ connecting lemma. Discrete & Continuous Dynamical Systems - A, 2002, 8 (1) : 257-265. doi: 10.3934/dcds.2002.8.257

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