Attractors and characteristic exponents |
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Authors: | César R de Oliveira |
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Institution: | (1) Departamento de Matemática, Universidade Federal de São Carlos, 13560 São Carlos, SP, Brazil |
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Abstract: | A natural definition of an attractor as an invariant measure is given (based on the ergodic theory of axiom A diffeomorphisms) and some results are proved which support this definition. It is also proved that if an attractor has every characteristic exponent less than zero in a set of nonzero measure, then the support set of the attractor is an asymptotic stable periodic orbit. |
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Keywords: | Attractors ergodic theory characteristic exponents |
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