Oscillation quenching in diffusively coupled dynamical networks with inertial effects
Wei Zou1, Yuxuan Chen1, D V Senthilkumar2
1School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China.
Chaos (Woodbury, N.Y.)
|April 30, 2022
Summary
Adding inertia to coupled systems prevents oscillation quenching. This finding is crucial for understanding rhythmic behaviors in complex networks, offering a new method to maintain oscillations.
Area of Science:
- Complex Systems Dynamics
- Network Science
- Nonlinear Dynamics
Background:
- Self-sustained oscillations are fundamental in physical and biological systems like neural networks and cardiac dynamics.
- Oscillation quenching, where oscillations deteriorate or cease, is a critical phenomenon in coupled dynamical networks.
Purpose of the Study:
- To analyze the effect of inertia on oscillation quenching in diffusively coupled dynamical networks.
- To investigate if inertia can prevent or eradicate oscillation quenching in such systems.
Main Methods:
- Introduced 'inertial' effects into diffusively coupled first-order oscillatory systems.
- Examined diverse quenching scenarios to test the generality of inertia's effect.
- Compared systems with and without inertia to quantify the impact on macroscopic oscillations.
Main Results:
- Even small amounts of inertia can effectively eradicate the onset of oscillation quenching.
- Inertia prevents severe deterioration or complete loss of macroscopic oscillations observed in non-inertial models.
- Inertia acts as a universal mechanism against oscillation quenching, independent of coupling function modifications.
Conclusions:
- System inertia is a key enabler against oscillation quenching in coupled dynamical networks.
- Findings contribute to understanding the emergence and stability of rhythmic behaviors in complex systems with amplitude dynamics.
Related Concept Videos
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
01:20Types of Damping
6.7K
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...
6.7K
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
01:04Oscillations about an Equilibrium Position
5.7K
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...
5.7K
01:30RLC Circuit as a Damped Oscillator
1.4K
An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
1.4K
01:30RLC Series Circuits
3.2K
An RLC series circuit comprises an inductor, a resistor, and a charged capacitor connected in series. When the circuit is closed, the capacitor begins to discharge through the resistor and inductor by transferring energy from the electric field to the magnetic field. Here, the resistor connected to the circuit causes energy losses; therefore, on the complete discharge of the capacitor, the magnetic field energy acquired by the inductor is less than the original electric field energy of the...
3.2K