Nonlinear dynamical behavior of a hydrogen molecular ion and similar three-body Coulomb systems

1999 ◽  
Vol 59 (1) ◽  
pp. 238-244 ◽  
Author(s):  
Yiwu Duan ◽  
Charles Browne ◽  
Jian-Min Yuan
Keyword(s):  
Dynamical Behavior ◽  
Coulomb Systems ◽  
Hydrogen Molecular Ion ◽  
Nonlinear Dynamical ◽  
Molecular Ion ◽  
Three Body

scholarly journals Bistable dynamics beyond rotating wave approximation

2014 ◽  
Vol 23 (02) ◽  
pp. 1450019 ◽  
Author(s):  
Y. A. Sharaby ◽  
S. Lynch ◽  
A. Joshi ◽  
S. S. Hassan
Keyword(s):  
Ring Cavity ◽  
Dynamical Behavior ◽  
Single Mode ◽  
Unstable State ◽  
Nonlinear Dynamical ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Atomic Medium ◽  
Bistable Dynamics ◽  
Rotating Wave

In this paper, we investigate the nonlinear dynamical behavior of dispersive optical bistability (OB) for a homogeneously broadened two-level atomic medium interacting with a single mode of the ring cavity without invoking the rotating wave approximation (RWA). The periodic oscillations (self-pulsing) and chaos of the unstable state of the OB curve is affected by the counter rotating terms through the appearance of spikes during its periods. Further, the bifurcation with atomic detuning, within and outside the RWA, shows that the OB system can be converted from a chaotic system to self-pulsing system and vice-versa.

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