Department of Physics, Saratov State University, Astrakhanskaya str., 83, 410012 Saratov, Russia.
Phys Rev E. 2017 May;95(5-1):052205. doi: 10.1103/PhysRevE.95.052205. Epub 2017 May 5.
The model of a double-well oscillator with nonlinear dissipation is studied. The self-sustained oscillation regime and the excitable one are described. The first regime consists of the coexistence of two stable limit cycles in the phase space, which correspond to self-sustained oscillations of the point mass in either potential well. The self-sustained oscillations do not occur in a noise-free system in the excitable regime, but appropriate conditions for coherence resonance in either potential well can be achieved. The stochastic dynamics in both regimes is researched by using numerical simulation and electronic circuit implementation of the considered system. Multiple qualitative changes of the probability density function caused by noise intensity varying are explained by using the phase-space structure of the deterministic system.
研究了具有非线性耗散的双势阱振荡器模型。描述了自维持振荡和激发态两种模式。第一种模式由相空间中两个稳定极限环的共存组成，对应于点质量在任一个势阱中的自维持振荡。在激发态下，无噪声系统中不会发生自维持振荡，但在任一个势阱中都可以达到相干共振的适当条件。通过数值模拟和所考虑系统的电子电路实现研究了两种模式下的随机动力学。利用确定性系统的相空间结构解释了噪声强度变化引起的概率密度函数的多种定性变化。
