SIAM Journal on Applied Dynamical Systems· 2026Q1
\({n{:}m}\) Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity
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- Q1SCImago
- 2026year
Short summary
A new scalar reduction method accurately predicts phase-locked states in coupled oscillators with nonlinear coupling and heterogeneity, revealing that even small heterogeneities significantly alter behavior compared to identical oscillators.
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Key points
- Introduced a scalar reduction method for coupled systems with nonlinear coupling and heterogeneity.
- Method determines existence and stability of phase-locked states in biological oscillator models.
- Nonlinear heterogeneity significantly alters phase-locked states, unlike models with identical oscillators.
- Enables analysis of high-dimensional, biologically realistic coupled oscillator systems.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract. We introduce a scalar reduction method for forced or coupled systems with nonlinearities in both heterogeneity and coupling strength. Heterogeneity is formulated as a relatively weak but nonlinear alteration of the vector field(s). The method can be used to determine the existence and stability of [Formula: see text] phase-locked states in a variety of forced or coupled biological oscillator models, including the nonradial isochron clock, a thalamic neural oscillator, and the van der Pol oscillator. The proposed scalar reduction successfully captures the emergence and disappearance of phase-locked states as a function of nonlinear coupling strength and nonlinear heterogeneity. We find that even small amounts of heterogeneity can significantly alter phase-locked states in ways that cannot be captured by assuming identical oscillators. The proposed method enables a reduction and analysis of high-dimensional systems of coupled oscillators in more biologically realistic settings.
The authors' abstract, as published at the source. SIAM Journal on Applied Dynamical Systems, 2026 · DOI ↗
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Field: Computer Networks and Communications
Computer Networks and CommunicationsComputer Science