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Renormalization of Henon maps/ Marco Martens.

By: Publication details: Rio de Janeiro: IMPA, 2013.Description: video onlineOther title:
  • Minicurso: Renormalization of Henon maps
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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.
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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.

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