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