Self-pulsing and chaos in acoustooptic bistability

1983 ◽  
Vol 61 (8) ◽  
pp. 1143-1148 ◽  
Author(s):  
J. Chrostowski ◽  
R. Vallee ◽  
C. Delisle
Keyword(s):  
Shot Noise ◽  
Multiplicative Noise ◽  
Laser Intensity ◽  
Period Doubling ◽  
Delayed Feedback ◽  
Chaotic Behaviour ◽  
Input Intensity ◽  
Intensity Fluctuations ◽  
Bistable Device

The output of a hybrid acoustooptic bistable device with delayed feedback is investigated. Depending on the input intensity, such a system exhibits periodic and chaotic behaviour. Period doubling up to period-8 with the reverse Lorentz sequence is presented. The sequence of bifurcations is truncated by the additive electrical shot noise and the multiplicative noise due to the laser intensity fluctuations. Frequency locked oscillations are also presented.

scholarly journals Complexity of a Peroxidase-Oxidase Reaction Model

2021 ◽  
Author(s):  
Jason Gallas ◽  
Marcus Hauser ◽  
Lars Folke Olsen
Keyword(s):  
Chemical Reaction ◽  
Mixed Mode ◽  
Period Doubling ◽  
Reaction Model ◽  
Chaotic Behaviour ◽  
Mixed Mode Oscillations ◽  
Oscillating Reaction ◽  
Oxidase Reaction

The peroxidase-oxidase oscillating reaction was the first (bio)chemical reaction to show chaotic behaviour. The reaction is rich in bifurcation scenarios, from period-doubling to peak-adding mixed mode oscillations. Here, we study...

Periodic and chaotic behaviour in a reduction of the perturbed Korteweg-de Vries equation

1994 ◽  
Vol 445 (1923) ◽  
pp. 1-21 ◽  
Keyword(s):  
Lyapunov Exponent ◽  
Vries Equation ◽  
Period Doubling ◽  
Homoclinic Orbits ◽  
Dynamical Behaviour ◽  
Chaotic Behaviour ◽  
Subharmonic Bifurcations ◽  
Melnikov Functions ◽  
De Vries ◽  
Period Doubling Bifurcations

The dynamical behaviour of a reduction of the forced (and damped) Korteweg-de Vries equation is studied numerically. Chaos arising from subharmonic instability and homoclinic crossings are observed. Both period-doubling bifurcations and the Melnikov sequence of subharmonic bifurcations are found and lead to chaotic behaviour, here characterised by a positive Lyapunov exponent. Supporting theoretical analysis includes the construction of periodic solutions and homoclinic orbits, and their behaviour under perturbation using Melnikov functions.

SUBHARMONIC-SADDLE CONNECTIONS AS A PRECURSOR TO CHAOS IN A PERIODICALLY MODULATED LASER

1996 ◽  
Vol 06 (11) ◽  
pp. 2047-2053
Author(s):  
THOMAS W. CARR ◽  
IRA B. SCHWARTZ
Keyword(s):  
Chaotic Attractor ◽  
Laser Intensity ◽  
Period Doubling ◽  
Laser Cavity ◽  
Onset Of Chaos ◽  
Class B ◽  
Damping Rate ◽  
Cavity Damping ◽  
Period Doubling Bifurcations

We investigate the onset of chaos in a model for a periodically-forced class-B laser. By periodically modulating the laser-cavity damping rate we consider a pair of coupled nonautonomous ordinary differential equations for the laser intensity and population inversion. As the excitation is increased, the system exhibits saddle-node bifurcations to subharmonic oscillations, period-doubling bifurcations, chaos, and crises. Our investigations focus on the role of a pair of unstable orbits in the onset of the first chaotic attractor. One orbit is a subharmonic saddle while the other is a period one saddle. Upon creation of the period one saddle due to a period doubling bifurcation, its stable manifold immediately forms transverse intersections with the unstable manifold of a coexisting subharmonic saddle forming a heteroclinic crossing. These heteroclinic intersections provide a mechanism for the formation of horseshoes and the development of a chaotic attractor.

Influence of Laser Intensity Fluctuations in Multiphoton Ionization Processes

1987 ◽  
Vol 3 (8) ◽  
pp. 901-905 ◽  
Author(s):  
R Bruzzese ◽  
I Rendina ◽  
A Sasso ◽  
S Solimeno ◽  
N Spinelli
Keyword(s):  
Laser Intensity ◽  
Multiphoton Ionization ◽  
Ionization Processes ◽  
Intensity Fluctuations
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