Positive top Lyapunov exponent via invariant cones: Single trajectories |
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Authors: | Luis Barreira Davor Dragičević Claudia Valls |
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Institution: | Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal |
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Abstract: | We establish criteria for the positivity of the top Lyapunov exponent of a nonautonomous dynamics in terms of invariant cone families, both for maps and flows. The families of cones are associated with quadratic forms of type (k,p−k) with k arbitrary. Our work can be seen as a counterpart of results in the context of ergodic theory, where the positivity of the top Lyapunov exponent is obtained for almost all trajectories although saying nothing about each specific trajectory. |
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Keywords: | Invariant cones Lyapunov exponents Single trajectories |
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