Dynamical systems evolving

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This is an expanded version of a presentation given at ICM2018. It discusses a number of results taken from a cross-section of the author's work in Dynamical Systems. The topics include relation between entropy, Lyapunov exponents and fractal dimension, statistical properties of chaotic dynamical systems, physically relevant invariant measures, strange attractors arising from shear-induced chaos, random maps and random attractors. The last section contains two applications of Dynamical Systems ideas to Biology, one to epidemics control and the other to computational neuroscience.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsBoyan Sirakov, Paulo Ney de Souza, Marcelo Viana
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages1017-1048
Number of pages32
ISBN (Electronic)9789813272903
StatePublished - 2018
Event2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil
Duration: Aug 1 2018Aug 9 2018

Publication series

NameProceedings of the International Congress of Mathematicians, ICM 2018
Volume1

Conference

Conference2018 International Congress of Mathematicians, ICM 2018
CountryBrazil
CityRio de Janeiro
Period8/1/188/9/18

Keywords

  • Computational neuroscience
  • Correlation decay
  • Epidemics
  • Lyapunov exponents
  • Random dynamical systems
  • SRB measures
  • Shear-induced chaos

ASJC Scopus subject areas

  • Mathematics(all)

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