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Nonlinear oscillators are a key modelling tool in many applications. The influence of annealed noise on nonlinear oscillators has been studied intensively. It can induce effects in nonlinear ...
parameters and intensities of noise sources for two different situations: (i) Van der Pol generator with soft and hard excitation regimes; (ii) Van der Pol oscillator with negative nonlinear damping. As shown ...
Normal Form Method Based on He’s Energy Balance Method to a Noise Included Nonlinear Oscillator GenGeand ZhengChaoYun School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300192, China ...
, stochastic processes, calculus of variations, and nonlinear analysis. Application of the Improved Complex Normal Form Method Based on He’s Energy Balance Method to a Noise Included Nonlinear Oscillator ...
dynamical system. The method of averaging has become one of the most important tool ever developed for nonlinear time varying systems. Applications have been found in celestial mechanics, noise control ...
, P. A., Pargellis, A. N. & Willett, R. L. Evading amplifier noise in nonlinear oscillators . Phys. Rev. Lett. 72, 2992– 2995 (1994). 7. Yurke, B., Greywall, D. S., Pargellis, A. N. & Busch, P. A. Theory ...
Abstract The onset of stochastic oscillations in a nonlinear oscillator with a noise -modulated frequency is considered. It is demonstrated that these oscillations are characterized by the existence ...
We consider a stochastically forced nonlinear oscillator driven by a stationary Gaussian noise that has an algebraically decaying covariance function. It is well known that such noise processes can ...
Absorbing or emitting elements generate noise waves. The main purpose of this paper is to determine from first principles the spectral density of noise waves relating to nonlinear elements ...
Abstract: We consider a stochastically forced nonlinear oscillator driven by a stationary Gaussian noise that has an algebraically decaying covariance function. It is well known that such noise ...
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