Anharmonic resonances with recursive delay feedback

作者：Goldobin Denis S^*

来源：Physics Letters A, 2011, 375(39): 3410-3414.

DOI：10.1016/j.physleta.2011.07.059

• Noisy oscillators
• Recursive delay feedback
• Control
• Anharmonicity

We consider application of time-delayed feedback with infinite recursion for control of anharmonic (nonlinear) oscillators subject to noise. In contrast to the case of a single delay feedback, recursive delay feedback exhibits resonances between feedback and nonlinear harmonics, leading to a resonantly strong or weak oscillation coherence even for a small anharmonicity. Remarkably, these small-anharmonicity induced resonances can be stronger than the harmonic ones. Analytical results are confirmed numerically for van der Pol and van der Pol-Duffing oscillators.

• 出版日期2011-9-12