Abstract
The stochastic resonance of an under-damped linear system with a random natural frequency due to the cross-correlated colored noises modulated by periodic signal is studied in this paper. Using the average method and the Shapiro-Loginov formula, the fourth-order differential equation for the first moment of response is established first. Under the assumption on the form of solution, the expression of the amplitude of the output signal is then obtained. After analyzing the effect of noise on the average coordinate of the oscillator, it is found that the output signal non-monotonically depends on the multiplicative noise intensity, correlation rate and natural frequency. Therefore, the stochastic resonance exists for such an under-damped linear system. Meanwhile, the cross-correlation between the noises can enhance the output signal, while the damping coefficient and the signal frequency can suppress the output signal.
| Original language | English |
|---|---|
| Title of host publication | Nonlinear Science and Complexity-Proceedings of the Conference |
| Subtitle of host publication | Volume 1 |
| Publisher | World Scientific Publishing Co. |
| Pages | 144-148 |
| Number of pages | 5 |
| ISBN (Electronic) | 9789812772428 |
| ISBN (Print) | 9812704361, 9789812704368 |
| DOIs | |
| Publication status | Published - 1 Jan 2006 |
| Externally published | Yes |
Keywords
- Periodically signal-modulated noise
- Stochastic resonance
- Under-damped linear oscillator