Edges of inter-layer synchronization in multilayer networks with time-switching links
Muhittin Cenk Eser1, Everton S Medeiros2, Mustafa Riza1
1Department of Physics, Eastern Mediterranean University, 99628 Famagusta, North Cyprus, via Mersin 10, Turkey.
Chaos (Woodbury, N.Y.)
|October 31, 2021
Summary
We studied oscillator networks with switching links. Dynamic links improve synchronization, and a critical switching time causes abrupt synchronization transitions.
Area of Science:
- Complex Systems
- Network Science
- Nonlinear Dynamics
Background:
- Oscillator networks are fundamental to many natural and engineered systems.
- Synchronization phenomena in coupled oscillators are widely studied.
- The impact of dynamic network topologies on synchronization is an active research area.
Purpose of the Study:
- To investigate the transition to synchronization in a two-layer oscillator network with time-switching inter-layer links.
- To analyze the influence of the number of inter-layer links and the timescale of topological changes on synchronization.
- To understand the mechanisms behind synchronization transitions in dynamic networks.
Main Methods:
- Simulations of a two-layer network of coupled oscillators.
- Analysis of synchronization transitions under varying inter-layer link densities.
- Investigation of dynamic network topologies with time-varying inter-layer connections.
- Characterization of synchronization behavior based on switching timescales and link numbers.
Main Results:
- A smooth transition to complete synchronization is observed for static inter-layer topologies with increasing link density.
- Dynamic topologies with randomly switching inter-layer links significantly enhance system synchronizability, requiring lower inter-layer connectivity.
- A critical switching time leads to an abrupt transition from low to high inter-layer synchronization as link density increases.
- The abrupt transition is attributed to the shrinking and disappearance of the basin of attraction for desynchronized states.
Conclusions:
- Time-switching inter-layer links can improve the synchronizability of two-layer oscillator networks.
- The timescale of topological changes plays a crucial role in the nature of synchronization transitions.
- Dynamic network structures can lead to novel synchronization behaviors, including abrupt transitions, offering new avenues for network control.
More Related Videos
Related Concept Videos
01:25Multimachine Stability
249
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
249
01:21Time and frequency -Domain Interpretation of Phase-lag Control
161
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
161
01:23Linear time-invariant Systems
520
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
520
01:25Network Function of a Circuit
424
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
424
01:24Sequence Networks of Rotating Machines
172
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
172
01:24Time and frequency -Domain Interpretation of Phase-lead Control
154
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
154