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Hyperbolicity and the Creation of Homoclinic Orbits

The Annals of Mathematics, 1987
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Floris Takens, Jacob Palis
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Controlling homoclinic orbits

Theoretical and Computational Fluid Dynamics, 1989
In this paper we analyze various control-theoretic aspects of a nonlinear control system possessing homoclinic or heteroclinic orbits. In particular, we show that for a certain class of nonlinear control system possessing homoclinic orbits, a control can be found such that the system exhibits arbitrarily long periods in a neighborhood of the homoclinic.
Jerrold E. Marsden   +3 more
openaire   +3 more sources

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