Multiple basins of consistency in noise-driven dynamical system

Abstract

Abstract:We numerically investigate multiple basins of consistency in the Mackey-Glass model driven repeatedly by a colored noise signal. The Mackey-Glass model is modified to include the saturation effect for the observation of multiple basins of consistency. Consistent response outputs are obtained for strong drive strength, whereas no consistency is observed for small drive strength. For intermediate drive strength, more than one type of consistent response waveforms can be observed, known as multiple basins of consistency. The regions of multiple basins are entangled in the phase space. The number of multiple basins of consistency depends on the drive strength and the saturation threshold in the Mackey-Glass model. Our findings are confirmed experimentally by using an electronic circuit of the Mackey-Glass model with a colored-noise drive signal.