Effect of bounded noise on chaotic motion of a triple-well potential system

2005 ◽  
Vol 25 (2) ◽  
pp. 415-424 ◽  
Author(s):  
Xiaoli Yang ◽  
Wei Xu ◽  
Zhongkui Sun ◽  
Tong Fang
Keyword(s):  
Chaotic Motion ◽  
Bounded Noise ◽  
Potential System

Chaotic motion of Van der Pol–Mathieu–Duffing system under bounded noise parametric excitation

2008 ◽  
Vol 309 (1-2) ◽  
pp. 330-337 ◽  
Author(s):  
Jiaorui Li ◽  
Wei Xu ◽  
Xiaoli Yang ◽  
Zhongkui Sun
Keyword(s):  
Parametric Excitation ◽  
Chaotic Motion ◽  
Bounded Noise ◽  
Van Der Pol ◽  
Duffing System

Effect of a Constant Bias on the Nonlinear Dynamics of a Biharmonically Driven Sinusoidal Potential System

2020 ◽  
Vol 30 (15) ◽  
pp. 2030046
Author(s):  
Ivan Skhem Sawkmie ◽  
Mangal C. Mahato
Keyword(s):  
Nonlinear Dynamics ◽  
Chaotic Motion ◽  
Small Amplitude ◽  
Frequency Component ◽  
Force Frequency ◽  
Constant Force ◽  
Regular Motion ◽  
Constant Bias ◽  
Additional Constant ◽  
Potential System

The nonlinear dynamics of an underdamped sinusoidal potential system is experimentally and numerically studied. The system shows regular (nonchaotic) periodic motion when driven by a small amplitude ([Formula: see text]) sinusoidal force (frequency [Formula: see text]). However, when the system is driven by a similarly small amplitude biharmonic force (frequencies [Formula: see text] and [Formula: see text] with amplitudes [Formula: see text] and [Formula: see text], respectively) chaotic motion appear as a function of amplitude ([Formula: see text]) of the [Formula: see text]-frequency component for a fixed [Formula: see text]. We investigate the effect of an additional constant force [Formula: see text] on the dynamics of the system in the ([Formula: see text]) space. We find that [Formula: see text] can cause chaotic motion to move to regular motion and regular motion can also become chaotic in certain ([Formula: see text]) domains.

Quantum Computing and the Onset of Quantum Chaotic Motion

2002 ◽  
Author(s):  
Giulio Casati ◽  
Carlo Beenakker ◽  
Tomaz Prozen ◽  
Philippe Jacquod ◽  
Giuliano Benenti
Keyword(s):  
Quantum Computing ◽  
Chaotic Motion
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