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Intermittency; multiplicative noise; 1-d maps.

Intermittency arising due to parametric noise has been observed across a variety of physical systems. A simple and generic approach for characterizing the onset of such intermittency in one-dimensional maps due to a periodic fluctuations of a system parameter is presented. Two mutually complementary conditions forthe onset of intermittency, with respect to the evolution during the two distinct phases constituting intermittent response are derived.We illustrate these ideas with numerical results from a noisy logistic map, with intermittencyabout a noise-free transcritical bifurcation and an aeroelastic system with intermittency about a noise-free Hopf bifurcation.

S KRISHNA KUMAR¹ SUNETRA SARKAR² SAYAN GUPTA¹

1. Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai 600 036, India
2. Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600 036, India

Published

16 September 2019