Statistical dynamics of parametrically perturbed sine-square map |
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Authors: | M Santhiah and P Philominathan |
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Institution: | (1) Department of Mechanical Engineering, Villanova University, Villanova, PA, USA |
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Abstract: | We discuss the emergence and destruction of complex, critical and completely chaotic attractors in a nonlinear system when
subjected to a small parametric perturbation in trigonometric, hyperbolic or noise function forms. For this purpose, a hybrid
optical bistable system, which is a nonlinear physical system, has been chosen for investigation. We show that the emergence
of new attractors is responsible for transients in many trajectories obeying power-law decay. The effect of perturbation on
certain critical bifurcations such as period-2, onset of chaos, chaotic attractor with less complexity etc., has been studied
and characterized using certain statistical features. Further, the effect of Gaussian noise with other types of perturbation
has also been studied. |
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Keywords: | |
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