Numerical Method for Finding Synchronous Solutions of the Coupled Oscillator Networks

Article Mathematics, Applied

Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens' coupling

Wang Shuai et al.

Summary: This paper introduces the concept of rotating waves and a new bifurcation theory about rotating-periodic solutions, and studies them using a Huygens' coupling model. Various rotating waves in finite identical oscillator systems can be obtained using the conjugate classes of symmetry groups and the diagonalization method. Furthermore, a new rotating periodic solution Hopf bifurcation theory is established to study the existence of rotating waves.

PHYSICA D-NONLINEAR PHENOMENA (2022)

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Article Mathematics, Interdisciplinary Applications

Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology

Yoko Uwate et al.

Summary: Research on synchronization between coupled chaotic circuits has attracted interest due to its multidisciplinary nature in various applications. The study found that the same synchronization characteristics can be obtained by changing network structures and coupling strength.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2021)

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Article Mathematics, Interdisciplinary Applications

Synchronization in multiplex networks of chaotic oscillators with frequency mismatch

I. A. Shepelev et al.

Summary: The study shows that inter-layer synchronization can occur even when there is a large frequency mismatch between the layers. There is a clear distinction between frequency synchronization and structure synchronization. The weakest chaotic behavior is observed when both frequency and structure synchronizations occur, while the most developed chaotic oscillations are typical when the spatiotemporal structures in the layers are not synchronized.

CHAOS SOLITONS & FRACTALS (2021)

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Article Physics, Multidisciplinary