2006/08/10 by Kevin Lin, Kevin K. Lin, Eric Shea‐Brown +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Neurons and Cognition (q-bio.NC) #Nonlinear Dynamics and Pattern Formation #nlin.AO #nlin.CD #q-bio.NC #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.nlin/0608021
arxiv created 2006/08/10 · openalex publication_date 2006/08/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This letter concerns the reliability of coupled oscillator networks in response to fluctuating inputs. Reliability means that (following a transient) an input elicits identical responses upon repeated presentations, regardless of the system's initial condition. Here, we analyze this property for two coupled oscillators, demonstrating that oscillator networks exhibit both reliable and unreliable dynamics for broad ranges of coupling strengths. We further argue that unreliable dynamics are characterized by strange attractors with random SRB measures, implying that though unreliable, the responses lie on low-dimensional sets. Finally, we show that 1:1 phase locking in the zero-input system corresponds to high susceptibility for unreliable responses. A geometric explanation is proposed.