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Related Concept Videos

Standing Waves01:17

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
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.
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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...
Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...

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Related Experiment Video

Updated: Jun 27, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Published on: July 19, 2016

Stabilizing spiral waves by noninvasive structural perturbations.

Fang Liu1, Dongchuan Yu, Jun Liu

  • 1College of Automation Engineering, Qingdao University, Qingdao, Shandong 266071, China.

Chaos (Woodbury, N.Y.)
|December 3, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a novel structural perturbation method to noninvasively stabilize spiral waves. Optimized delay parameters significantly enhance stabilization, offering a promising adaptive control strategy.

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Last Updated: Jun 27, 2026

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Area of Science:

  • Complex systems dynamics
  • Nonlinear physics
  • Computational neuroscience

Background:

  • Spiral waves are dynamic patterns observed in various complex systems, including biological tissues and chemical reactions.
  • Uncontrolled spiral waves can lead to detrimental phenomena, necessitating effective stabilization methods.
  • Existing control strategies often face limitations in noninvasiveness or adaptability.

Purpose of the Study:

  • To propose and validate a novel engineering approach for noninvasively stabilizing spiral waves using structural perturbation.
  • To investigate the impact of introducing artificial connections with specific delays on spiral wave dynamics.
  • To compare the efficacy of this method against traditional constant pinning control.

Main Methods:

  • Development of a structural perturbation technique to introduce artificial connections in a system.
  • Application of the method to stabilize spiral waves in a numerical model (FitzHugh-Nagumo).
  • Systematic variation of delay parameters for the artificial connections to optimize stabilization performance.

Main Results:

  • The proposed structural perturbation method successfully stabilizes spiral waves noninvasively.
  • Introducing specific delays to the artificial connections significantly enhances stabilization performance.
  • The method demonstrates superior control performance compared to constant pinning control, acting as an adaptive pinning control.
  • Even a small number of additional connections can effectively stabilize spiral waves.

Conclusions:

  • Structural perturbation with optimized delay represents a powerful and noninvasive strategy for controlling spiral wave dynamics.
  • This approach offers a more effective and adaptive alternative to conventional pinning control methods.
  • The findings have potential implications for understanding and controlling pattern formation in complex systems.