Abstract Hyperbolic Chaos


Creative Commons License

AKHMET M.

Discontinuity, Nonlinearity, and Complexity, vol.11, no.1, pp.133-138, 2022 (Refereed Journals of Other Institutions) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.5890/dnc.2022.03.011
  • Title of Journal : Discontinuity, Nonlinearity, and Complexity
  • Page Numbers: pp.133-138
  • Keywords: Abstract hyperbolic sets Poincare chaos Li-Yorke chaos Devaney chaos Abstract hyperbolic chaos Smale Horseshoe

Abstract

© 2022. L&H Scientific Publishing, LLC. All Rights Reserved.The abstract hyperbolic sets are introduced. Continuous and differentiable mappings as well as rate of convergence and transversal manifolds are not under discussion, and the symbolic dynamics paradigm is realized in a new way. Our suggestions are for more neat comprehension of chaos in the domain. The novelties can serve for revisited models as well as motivate new ones.