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Stability and bifurcation analysis of a generalized scalar delay differential equation (2016)

Sachin Bhalekar

American Institute of Physics (AIP)

In: Chaos

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Publication Date: 2016-07-20

Description: This paper deals with the stability and bifurcation analysis of a general form of equation D α x ( t ) = g ( x ( t ) , x ( t − τ ) ) involving the derivative of order α ∈ (0, 1] and a constant delay τ ≥ 0. The stability of equilibrium points is presented in terms of the stability regions and critical surfaces. We provide a necessary condition to exist chaos in the system also. A wide range of delay differential equations involving a constant delay can be analyzed using the results proposed in this paper. The illustrative examples are provided to explain the theory.

Print ISSN: 1054-1500

Electronic ISSN: 1089-7682

Topics: Physics

Published by American Institute of Physics (AIP)

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