Chaos and bifurcation of discontinuous dynamical systems with piecewise constant arguments

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DOI:

https://doi.org/10.26637/mjm0101/003

Abstract

In this paper we are concerned with the definition and some properties of the discontinuous dynamical systems generated by piecewise constant arguments. Then we study a discontinuous dynamical system of the Riccati type equation as an example. The local stability at the fixed points is studied. The bifurcation analysis and chaos are discussed. In addition, we compare our results with the discrete dynamical system of the Riccati type equation.

Keywords:

Discontinuous dynamical systems, piecewise constant arguments, Riccati type equation, fixed points, bifurcation, chaos

Mathematics Subject Classification:

39B05, 37N30, 37N20
  • A.M.A. El-Sayed Faculty of Science, Alexandria University, Alexandria, Egypt.
  • S. M. Salman Faculty of Education, Alexandria University, Alexandria, Egypt.
  • Pages: 14-18
  • Date Published: 01-09-2012
  • Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

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Published

01-09-2012

How to Cite

A.M.A. El-Sayed, and S. M. Salman. “Chaos and Bifurcation of Discontinuous Dynamical Systems With Piecewise Constant Arguments”. Malaya Journal of Matematik, vol. 1, no. 1, Sept. 2012, pp. 14-18, doi:10.26637/mjm0101/003.

Issue

Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

Section

Articles

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Copyright (c) 2012 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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