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Dynamics of multilayer networks with amplification
Thierry Njougouo1, Victor Camargo2, Patrick Louodop1
1Research Unit Condensed Matter, Electronics and Signal Processing, University of Dschang, P.O. Box 67, Dschang, Cameroon.
Chaos (Woodbury, N.Y.)
|December 31, 2020
Summary
This study explores chaotic oscillator networks with amplification, revealing new synchronization phenomena like chimera and cluster states. Amplification significantly impacts network dynamics and synchronization patterns.
Area of Science:
- Nonlinear Dynamics
- Complex Networks
- Chaos Theory
Background:
- Multilayer networks exhibit complex behaviors like synchronization, cluster, and chimera states.
- Chaotic oscillators are fundamental in understanding complex system dynamics.
Purpose of the Study:
- To investigate the influence of amplification on synchronization phenomena in multilayer networks of chaotic oscillators.
- To explore synchronization dynamics in networks of Rössler, jerk, and Liénard oscillators with unidirectional inter-layer coupling and amplification.
Main Methods:
- Utilizing the master stability function and order parameter analysis for Rössler oscillator networks.
- Simulating multilayer networks with varying topologies (all-to-all, ring, mean-field coupling).
- Introducing an amplification coefficient in the second layer of the network.
Main Results:
- Observed complete, generalized, cluster, and phase synchronization with amplification in Rössler oscillator networks.
- Identified conditions where synchronization fails or occurs independently of amplification.
- Demonstrated chimera and cluster states with amplification in other oscillator systems.
Conclusions:
- Amplification is a critical factor modulating synchronization in multilayer chaotic oscillator networks.
- The network topology and coupling strategy influence the emergence of specific synchronization patterns under amplification.
- This research provides insights into controlling and predicting complex dynamics in coupled chaotic systems.
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