Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations.

ABSTRACT: Nonlinear time delay systems produce inherently delay-induced periodic oscillations, which are, however, too idealistic compared to observations. We exhibit a unified stochastic framework to systematically rectify such oscillations into oscillatory patterns with enriched temporal variabilities through generic, nonlinear responses to stochastic perturbations. Two paradigms of noise-driven chaos in high dimension are identified, fundamentally different from chaos triggered by parameter-space noise. Noteworthy is a low-dimensional stretch-and-fold mechanism, leading to stochastic strange attractors exhibiting horseshoe-like structures mirroring turbulent transport of passive tracers. The other is high-dimensional , with noise acting along the critical eigendirection and transmitted to "deeper

SUBMITTER: Chekroun MD 

PROVIDER: S-EPMC9674290 | biostudies-literature | 2022 Nov

REPOSITORIES: biostudies-literature