Phase slips in coupled oscillator systems

Gogoi, Pragjyotish Bhuyan; Kumarasamy, Suresh; Prasad, Awadhesh; Ramaswamy, Ramakrishna

doi:10.1103/physreve.108.014209

Cited by 4 publications

(1 citation statement)

References 51 publications

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“…Various forms of synchronization can be observed within coupled chaotic systems [4]. These include lag synchronization [11], phase synchronization [12,13], anti-phase synchronization [14,15], complete synchronization [4], remote synchronization [16], cluster synchronization [17,18], and more. The occurrence of synchronization is influenced by factors like the network's structure, coupling strength, (a) E-mail: sajadjafari83@gmail.com, sajadjafari@aut.ac.ir (corresponding author) coupling function, and local dynamics [19][20][21][22].…”

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confidence: 99%

The effect of nonlinear diffusive coupling on the synchronization of coupled oscillators

Massihi,

Parastesh,

Towhidkhah

et al. 2024

EPL

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This paper examines the impact of nonlinear coupling on the synchronization of interconnected oscillators. Various powers of diffusive coupling are explored to introduce nonlinear effects, and the results are contrasted with those of linear diffusive coupling. The study employs three representative chaoic systems—namely, the Lorenz, R¨ossler, and Hindmarsh-Rose systems. Findings indicate that nonlinear couplings with power below one result in synchronization at lower coupling strengths. Additionally, the critical coupling strength reduces as the coupling power decreases. However, the synchronization region undergoes changes and becomes bounded.Conversely, for powers exceeding one, networks are either unable to synchronize or require higher coupling strengths compared to linear coupling.

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