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Related Concept Videos

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.
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.
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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...
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The contraction strength of muscles is regulated by motor neurons, which modulate the frequency of action potentials dispatched to the motor units based on the body's requirements. This process of varying the muscle stimulation frequency allows muscles to contract with a force that is precisely tailored to the needs of the moment, whether lifting a feather or a heavy box.
Wave summation
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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

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Recording Spatially Restricted Oscillations in the Hippocampus of Behaving Mice
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Published on: July 1, 2018

Flow-enhanced spatiotemporal pH oscillations.

Fatima Shoeb1, István Szalai2

  • 1Hevesy György Doctoral School of Chemistry, Eötvös Loránd University, Pázmány Péter sétány 1/A, Budapest, Hungary.

Physical Chemistry Chemical Physics : PCCP
|May 26, 2026
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Summary

Flow in feed-driven oscillatory systems, like pH oscillators, enhances pattern formation. External flow increases the robustness of chemical networks by enabling oscillations in a wider range of conditions.

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Area of Science:

  • Chemical kinetics
  • Nonlinear dynamics
  • Systems biology

Background:

  • Pattern formation in chemical and biological systems is influenced by nonlinear kinetics and transport.
  • The role of flow in feed-driven oscillatory systems is not fully understood.
  • Sustained patterns and periodic behavior depend on reactant supply and feeding conditions.

Purpose of the Study:

  • To investigate reaction-diffusion-advection dynamics in pH oscillators.
  • To understand the role of flow in feed-driven oscillatory systems.
  • To explore how external flow impacts the robustness of chemical networks.

Main Methods:

  • Experiments using bromate-sulfite and bromate-sulfite-ferrocyanide reactions in a laminar tubular reactor.
  • Numerical modeling using an extended Rábai model.
  • Analysis of spatiotemporal oscillations and reaction fronts.

Main Results:

  • Robust spatiotemporal oscillations were observed in a laminar tubular reactor.
  • Flow reshapes the nonequilibrium stability landscape, expanding the oscillatory domain.
  • Oscillations emerge when advective timescale is comparable to inhibitory delays.
  • Faster diffusion of hydrogen ions stabilizes oscillatory behavior.

Conclusions:

  • Externally imposed flow can significantly increase the robustness of oscillatory dynamics in feed-driven chemical networks.
  • Flow enables oscillations in a broader range of conditions than reaction-diffusion alone.
  • The interplay between kinetics, diffusion, and advection is crucial for pattern formation.