Stochastic multiresonance for a fractional linear oscillator with time-delayed kernel and quadratic noise

2017 ◽  
Vol 487 ◽  
pp. 205-214 ◽  
Author(s):  
Feng Guo ◽  
Xue-Yuan Wang ◽  
Cheng-Yin Zhu ◽  
Xiao-Feng Cheng ◽  
Zheng-Yu Zhang ◽  
...  
Keyword(s):  
Linear Oscillator ◽  
Quadratic Noise

scholarly journals Stochastic resonance in an over-damped linear oscillator driven by multiplicative quadratic noise

2012 ◽  
Vol 61 (13) ◽  
pp. 130503
Author(s):  
Zhang Lu ◽  
Zhong Su-Chuan ◽  
Peng Hao ◽  
Luo Mao-Kang
Keyword(s):  
Stochastic Resonance ◽  
Linear Oscillator ◽  
Quadratic Noise

The Dynamics of a Nonharmonically Excited System Having Rigid Amplitude Constraints

1992 ◽  
Vol 59 (3) ◽  
pp. 693-695 ◽  
Author(s):  
Pi-Cheng Tung
Keyword(s):  
Dynamic Response ◽  
Bifurcation Analysis ◽  
Piecewise Linear ◽  
Coefficient Of Restitution ◽  
Degree Of Freedom ◽  
Linear Oscillator ◽  
Chaotic Motions ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Excited System

We consider the dynamic response of a single-degree-of-freedom system having two-sided amplitude constraints. The model consists of a piecewise-linear oscillator subjected to nonharmonic excitation. A simple impact rule employing a coefficient of restitution is used to characterize the almost instantaneous behavior of impact at the constraints. In this paper periodic and chaotic motions are found. The amplitude and stability of the periodic responses are determined and bifurcation analysis for these motions is carried out. Chaotic motions are found to exist over ranges of forcing periods.

scholarly journals PROVISOS FOR CLASSIC LINEAR OSCILLATOR DESIGN METHODS. NEW LINEAR OSCILLATOR DESIGN BASED ON THE NDF/RRT

2012 ◽  
Vol 126 ◽  
pp. 17-48 ◽  
Author(s):  
Jose Luis Jimenez-Martin ◽  
Vicente Gonzalez-Posadas ◽  
Angel Parra-Cerrada ◽  
Daniel Segovia-Vargas ◽  
Luis Enrique Garcia-Munoz
Keyword(s):  
Design Methods ◽  
Linear Oscillator

Relaxation problem with quadratic noise

1986 ◽  
Vol 45 (1-2) ◽  
pp. 309-317 ◽  
Author(s):  
J. Luczka
Keyword(s):  
Relaxation Problem ◽  
Quadratic Noise

The Stick Motion of a Harmonically Excited, Friction-Induced Oscillator on a Sinusoidally Traveling Surface

2006 ◽  
Author(s):  
Albert C. J. Luo ◽  
Brandon C. Gegg ◽  
Steve S. Suh
Keyword(s):  
Dynamical Systems ◽  
Numerical Simulations ◽  
Dry Friction ◽  
The Other ◽  
Linear Oscillator ◽  
Analytical Prediction ◽  
Nonlinear Friction ◽  
Friction Forces

In this paper, the methodology is presented through investigation of a periodically, forced linear oscillator with dry friction, resting on a traveling surface varying with time. The switching conditions for stick motions in non-smooth dynamical systems are obtained. From defined generic mappings, the corresponding criteria for the stick motions are presented through the force product conditions. The analytical prediction of the onset and vanishing of the stick motions is illustrated. Finally, numerical simulations of stick motions are carried out to verify the analytical prediction. The achieved force criteria can be applied to the other dynamical systems with nonlinear friction forces possessing a CO - discontinuity.

Sign in / Sign up

Export Citation Format

Share Document