Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-08-19
Nonlinear Sciences
Chaotic Dynamics
34 Pages, 14 Figures
Scientific paper
We reinvestigate the dynamical behavior of a first order scalar nonlinear delay differential equation with piecewise linearity and identify several interesting features in the nature of bifurcations and chaos associated with it as a function of the delay time and external forcing parameters. In particular, we point out that the fixed point solution exhibits a stability island in the two parameter space of time delay and strength of nonlinearity. Significant role played by transients in attaining steady state solutions is pointed out. Various routes to chaos and existence of hyperchaos even for low values of time delay which is evidenced by multiple positive Lyapunov exponents are brought out. The study is extended to the case of two coupled systems, one with delay and the other one without delay.
Lakshmanan Meenakshi
Senthilkumar D. V.
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