On some dynamical properties of the discontinuous dynamical system represents the Logistic equation with different delays

A.M.A. El-Sayed*, M.E. Nasr**
* Faculty of Science, Alexandria University, Alexandria, Egypt.
** Faculty of Science, Benha University, Benha, Egypt.
Periodicity:January - March'2012
DOI : https://doi.org/10.26634/jmat.1.1.1667

Abstract

In this work the authors are concerned with the discontinuous dynamical system representing the problem of the logistic retarded functional equation. The existence of a unique solution  which is continuously dependence on the initial data will be proved. The local stability at the equilibrium points will be studied. The bifurcation analysis and chaos will be discussed.

Keywords

Logistic functional equation, existence, uniqueness, equilibrium points, local Sability, bifurcation analysis.

How to Cite this Article?

El-Sayed, A.M.A., and Nasr, M.E. (2012). On Some Dynamical Properties of The Discontinuous Dynamical System Represents the Logistic Equation with Different Delays. i-manager’s Journal on Mathematics, 1(1), 29-33. https://doi.org/10.26634/jmat.1.1.1667

References

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