Related Experiment Video
Updated: Oct 6, 2025
06:31
Reconstitution of Cell-cycle Oscillations in Microemulsions of Cell-free Xenopus Egg Extracts
Published on: September 27, 2018
8.3K
Origin of jumping oscillons in an excitable reaction-diffusion system
Edgar Knobloch1, Hannes Uecker2, Arik Yochelis3,4
1Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.
Physical Review. E
|January 15, 2022
Summary
Jumping oscillons (JOs) are spatially localized, oscillating structures that can move. This study explains their origin in reaction-diffusion systems, revealing new spatiotemporal states for potential information handling.
Area of Science:
- Nonlinear dynamics
- Pattern formation
- Complex systems
Background:
- Oscillons are immobile, localized, and oscillating structures observed in Faraday waves.
- Jumping oscillons (JOs) exhibit spatial movement, disappearing and reappearing at new locations.
- Understanding the dynamics of localized structures is crucial in nonlinear physics.
Purpose of the Study:
- To elucidate the origin of jumping oscillon (JO) behavior in a three-variable reaction-diffusion system.
- To investigate the creation mechanism of JOs from excitable traveling pulses (TPs).
- To identify and analyze novel spatiotemporal states, including bound states and patterns.
Main Methods:
- Numerical continuation techniques.
- Bifurcation theory analysis.
- Investigation of a three-variable reaction-diffusion model.
Main Results:
- Jumping oscillons (JOs) arise from the modulational instability of excitable traveling pulses (TPs).
- Bound states of JOs and TPs were discovered.
- Complex spatiotemporal patterns, including jumping periodic patterns, were identified and their stability determined.
Conclusions:
- The study reveals the underlying mechanisms driving jumping oscillon dynamics.
- The identified rich variety of spatiotemporal states, including bound states and patterns, offers potential applications in information and storage technologies.
- This research expands the understanding of pattern formation and localized structures in nonlinear systems.
Related Concept Videos
01:04Oscillations about an Equilibrium Position
5.8K
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...
5.8K
01:30Oscillations In An LC Circuit
2.5K
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
2.5K
01:07Damped Oscillations
6.1K
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...
6.1K
01:18Second Order systems II
199
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
199
01:20Types of Damping
6.8K
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
6.8K
01:23Propagation of Action Potentials
7.3K
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...
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...
7.3K