Bibliographic Information: Semenov, V.V. (2024). The impact of nonlocal coupling on deterministic and stochastic wavefront propagation in an ensemble of bistable oscillators. Physics Letters A. Preprint submitted to Physics Letters A.
Research Objective: This study investigates the influence of nonlocal coupling on wavefront propagation in a system of coupled bistable oscillators, considering both deterministic and stochastic scenarios.
Methodology: The research employs numerical simulations of an ensemble of locally coupled overdamped bistable oscillators. The impact of coupling strength, coupling radius, and noise (multiplicative and additive) on wavefront propagation speed and pattern formation is systematically analyzed.
Key Findings:
Main Conclusions: Nonlocal coupling offers a robust mechanism for controlling wavefront propagation in bistable oscillator ensembles. It allows for fine-tuning propagation speed and enhances resilience against noise, highlighting its potential in various physical and biological systems.
Significance: This research contributes to the understanding of nonlocal coupling effects in complex systems, extending the existing knowledge of wavefront control mechanisms.
Limitations and Future Research: The study focuses on a simplified model of bistable oscillators. Exploring the impact of nonlocal coupling on wavefront dynamics in more realistic models with complex local dynamics could provide further insights. Investigating the interplay of additive and multiplicative noise in the context of nonlocal coupling is another promising avenue for future research.
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by Vladimir V. ... at arxiv.org 10-15-2024
https://arxiv.org/pdf/2410.10757.pdfDeeper Inquiries