Noise-induced chaotic-attractor escape route
Abstract
In the present article, a combination of numerical and experimental studies is undertaken to comprehend the influence of noise on the responses of continuous-time dynamical systems. In particular, the influence of white Gaussian noise on the chaotic and periodic responses of bistable, Duffing oscillators is the focus of this work. The noteworthy result of the conducted studies concerns the presence of a pair of attractors, one being periodic and the other being chaotic: the chaotic attractor response can be controlled and terminated with an appropriate noise level. For trajectories in the basin of the chaotic attractor, white Gaussian noise is added at a barely sufficient level to allow trajectories to eventually leave (within some specified time). The authors report that trajectories leave via a special escape route: the unstable manifold of a fixed point saddle on the basin boundary between the two basins of attraction. Striking similarities and differences between experimental and numerical investigation are discussed in the work.
Publication Title
Nonlinear Dynamics
Recommended Citation
Agarwal, V., Yorke, J., & Balachandran, B. (2020). Noise-induced chaotic-attractor escape route. Nonlinear Dynamics, 102 (2), 863-876. https://doi.org/10.1007/s11071-020-05873-3
