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Diffeomorphisms of multidimensional space with infinite set of stable periodic points |
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| Authors: | E V Vasil’eva |
| Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
| Abstract: | Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero. |
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