State observer for stochastic resonance in bistable system.

Highlights • We investigate variation of stochastic resonance in bistable system, and classify them by the state of resonance and chaos. • We propose a state observer based on appropriate indicators and rules. Therefore, bistable system becomes an observable nonlinear system. • Our investigations contribute to nonlinear system optimization, and can be applied to other noise-induced phenomena. Abstract We investigate numerically stochastic resonance variation in bistable system. Putting signals with different intensities into a bistable system, or adjusting system structural parameters for an input, will produce different motion trajectories. These trajectories contain both chaos and non-chaos parts. We classify these states according to the state of resonance and chaos, and propose a state observer. In this way, bistable system becomes an observable nonlinear system. State observer can provide us with a new perspective that is not available through conventional observation methods. These investigations contribute to nonlinear system optimization, and can also be applied to other interesting noise-induced phenomena. [ABSTRACT FROM AUTHOR]