Related Experiment Video
Updated: Aug 11, 2026
08:02
Generation of Local CA1 γ Oscillations by Tetanic Stimulation
Published on: August 14, 2015
Transforming chaos to periodic oscillations
G Kociuba1, N R Heckenberg, A G White
1Department of Physics, University of Queensland, St. Lucia, Queensland, Australia. kociuba@physics.uq.edu.au
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
External modulation of pump power controls chaotic class C laser dynamics, transitioning it to a periodic state. This research reveals parameter windows for chaos suppression and locking ratios following the Farey sequence.
Area of Science:
- Nonlinear dynamics
- Laser physics
- Chaos theory
Background:
- Autonomous chaotic class C lasers exhibit Lorenz-like chaotic pulsations above the chaos threshold.
- The average amplitude and frequency of these pulsations are dependent on pump power.
Purpose of the Study:
- To demonstrate control of chaotic laser dynamics to a periodic state.
- To investigate the effect of external pump modulation on laser behavior.
- To identify parameter windows for chaos suppression and analyze output locking ratios.
Main Methods:
- Utilizing external modulation of the pump power.
- Analyzing laser dynamics under varying pump conditions.
- Observing chaotic pulsations and periodic states.
Main Results:
- External pump modulation successfully controlled chaotic laser dynamics to a periodic state.
- Identified specific parameter windows where chaos was extinguished.
- Observed locking ratios between pump and laser output that follow the Farey sequence.
Conclusions:
- External modulation of pump power is an effective method for controlling chaotic class C lasers.
- The Farey sequence governs the locking ratios, offering insights into the underlying nonlinear dynamics.
Related Concept Videos
01:21Simple Harmonic Motion
Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
01:04Oscillations about an Equilibrium Position
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
01:07Damped Oscillations
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
01:06Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
01:31Oscillations In An LC Circuit
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
01:16Properties of Laplace Transform-II
Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...