Related Experiment Video
Updated: Jul 6, 2026
05:59
New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies
Published on: October 6, 2023
Diversity-induced coherence resonance in spatially extended chaotic systems
1College of Physics and Electronic Information, Anhui Normal University, Wuhu, Anhui, 241000, China.
Summary
Introducing parameter diversity into coupled Chua systems enables regular domain jumping, a phenomenon known as coherence resonance. This finding offers a new method for controlling chaos in extended chaotic systems.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Complex systems
Background:
- Coupled Chua systems exhibit chaotic behavior with unpredictable residence times in attractor domains without parameter diversity.
- Understanding chaotic dynamics in extended systems is crucial for various scientific and engineering applications.
Purpose of the Study:
- To investigate the impact of parameter diversity on the dynamics of coupled Chua systems.
- To explore the potential for controlling chaos in spatially extended chaotic systems.
Main Methods:
- A combined numerical and analytical approach was employed.
- The study analyzed the effect of parameter diversity, coupling strength, and the number of units.
Main Results:
- Parameter diversity induces regular domain jumping between chaotic attractor domains, indicative of coherence resonance.
- An intermediate range of parameter diversity is optimal for observing this coherence resonance.
- The influence of coupling strength and the number of system units on the observed dynamics was also evaluated.
Conclusions:
- Parameter diversity can be effectively manipulated to control chaos in coupled Chua systems.
- The findings suggest a novel mechanism for achieving coherence resonance in spatially extended chaotic systems.
- This research opens avenues for controlling complex chaotic behaviors through parameter engineering.
Related Concept Videos
01:21Entropy Changes Accompanying Specific Processes
Entropy, a measure of disorder in a system, changes during phase transitions like freezing or boiling. At the transition temperature Ttrs, where two phases are in equilibrium, the phase transition is a reversible process. The entropy change can be calculated from a substance's enthalpy of transition using the equation ΔStrs = ΔtrsH /Ttrs.When a perfect gas expands isothermally from one volume to another, entropy increases logarithmically with volume. Conversely, isothermal compression results...
01:10Entropy Change in Reversible Processes
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
02:18Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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...
01:23Atomic Nuclei: Nuclear Relaxation Processes
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis. This...
01:08IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations
Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...