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Related Concept Videos

Damped Oscillations01:07

Damped 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...
Oscillations In An LC Circuit01:30

Oscillations 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
Propagation of Action Potentials01:23

Propagation of Action Potentials

The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Forced Oscillations01:06

Forced 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.
What is an Electrochemical Gradient?01:26

What is an Electrochemical Gradient?

Adenosine triphosphate, or ATP, is considered the primary energy source in cells. However, energy can also be stored in the electrochemical gradient of an ion across the plasma membrane, which is determined by two factors: its chemical and electrical gradients.The chemical gradient relies on differences in the abundance of a substance on the outside versus the inside of a cell and flows from areas of high to low ion concentration. In contrast, the electrical gradient revolves around an ion’s...
Magnetic Damping01:17

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...

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Eliminating delay-induced oscillation death by gradient coupling.

Wei Zou1, Chenggui Yao, Meng Zhan

  • 1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Gradient coupling can eliminate oscillation death in coupled oscillators. Increasing gradient coupling strength shrinks the "death island" in parameter space, completely removing it above a threshold, especially for large systems.

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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Published on: November 11, 2013

Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Oscillator Networks

Background:

  • Oscillation death is a phenomenon in coupled oscillators where synchronized oscillations cease.
  • Understanding factors influencing oscillation death is crucial for designing stable complex systems.

Purpose of the Study:

  • To investigate the effect of gradient coupling on oscillation death in a ring of delay-coupled oscillators.
  • To determine how gradient coupling influences the parameter space of oscillation death.

Main Methods:

  • Analysis of a ring of N delay-coupled oscillators.
  • Systematic variation of diffusive coupling, time delay, and gradient coupling strength.
  • Examination of parameter space to identify regions of oscillation death.

Main Results:

  • Gradient coupling monotonically reduces the domain of oscillation death.
  • Complete elimination of oscillation death is achievable by exceeding a critical gradient coupling strength.
  • A critical system size (N) was discovered for one-way rings, above which death is always eliminated.

Conclusions:

  • Gradient coupling offers a robust mechanism to suppress oscillation death in coupled oscillator systems.
  • The findings are general and applicable to various coupled oscillator systems.
  • The study reveals a size effect in one-way rings, highlighting the importance of network topology.