DYNAMICAL SYNTHESIS OF QUASI-MINIMAL SETS

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AKHMET M.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol.19, no.7, pp.2423-2427, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 7
  • Publication Date: 2009
  • Doi Number: 10.1142/s0218127409024190
  • Journal Name: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2423-2427
  • Keywords: Differential equations, pulse functions, Poisson stability, chaotic attractor
  • Middle East Technical University Affiliated: Yes

Abstract

We address a nonautonomous differential equation with a pulse function, whose moments of discontinuity depend on the initial moment. Existence of a quasi-minimal set is proved. An appropriate simulation of a chaotic attractor is presented.