Renormalization of Henon maps/
Martens, Marco, 1962-
Renormalization of Henon maps/ Minicurso: Renormalization of Henon maps Marco Martens. - Rio de Janeiro: IMPA, 2013. - video online
Mini Course - 5 classes
Period doubling renormalization plays a crucial role in understanding the boundary of chaos in one-dimensional dynamics. The main phenomena are rigidity and parameter and phase space universality. The course will discuss the boundary of chaos for strongly dissipative two-dimensional Henon maps. Again universality and rigidity play a crucial role but surprisingly, in two-dimensional dynamics, they have a probabilistic nature. If time allows we will discuss renormalization beyond period doubling.
Matematica.
Renormalization of Henon maps/ Minicurso: Renormalization of Henon maps Marco Martens. - Rio de Janeiro: IMPA, 2013. - video online
Mini Course - 5 classes
Period doubling renormalization plays a crucial role in understanding the boundary of chaos in one-dimensional dynamics. The main phenomena are rigidity and parameter and phase space universality. The course will discuss the boundary of chaos for strongly dissipative two-dimensional Henon maps. Again universality and rigidity play a crucial role but surprisingly, in two-dimensional dynamics, they have a probabilistic nature. If time allows we will discuss renormalization beyond period doubling.
Matematica.