The dynamics of a forced coupled network of active elements

DOI10.1016/j.physd.2010.11.006zbMath1214.37058OpenAlexW1974331320WikidataQ60154138 ScholiaQ60154138MaRDI QIDQ633719

Bard Ermentrout, Jonathan E. Rubin, Helen F. Parks

Publication date: 29 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.11.006

zbMATH Keywords

periodic forcingtraveling waveoscillatorsphase equationsantiphase activityphosphenes

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (1)

Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators

Uses Software

• XPPAUT

Cites Work

• Global bifurcations of a periodically forced nonlinear oscillator
• n:m phase-locking of weakly coupled oscillators
• Phase locking of biological clocks
• Traveling waves in lattice dynamical systems
• The global structure of traveling waves in spatially discrete dynamical systems
• Anti-phase solutions in relaxation oscillators coupled through excitatory interactions
• Simulating, Analyzing, and Animating Dynamical Systems
• Matrix Analysis
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Phase Boundaries as Electrically Induced Phosphenes
• Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input

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