Attractors in real-time dynamical systems |
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An introduction to cluster sets and attractors in real-time dynamical systems. Basic theorems are presented about periodic orbits and topologically transitive dynamical systems. | |
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Topological pressure and entropy |
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An introduction to the Kolmogorov-Sinai entropy, topological pressure & entropy, the Variational Principle and expansive systems. | |
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Ergodic theory |
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Ergodic theory - Implications for classical mechanical systems. | |
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La Réduction Lyapunov-Schmidt |
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La Réduction Lyapunov-Schmidt, appliquée à la bifurcation des solutions des équations non-linéaires sur des espaces de Banach. | |
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Lyapunov Functions |
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An introduction to the application of Lyapunov functions to the stability of fixed points and LaSalle's Invariance Principle. | |
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