Average dynamics of a driven set of globally coupled excitable units

DOI10.1063/1.3574030zbMath1317.93139OpenAlexW2014103049WikidataQ41996234 ScholiaQ41996234MaRDI QIDQ5264507

Leandro M. Alonso, Gabriel B. Mindlin

Publication date: 27 July 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3085534

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Design techniques (robust design, computer-aided design, etc.) (93B51) Traveling wave solutions (35C07) Impulsive partial differential equations (35R12)

Related Items (10)

Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks ⋮ Parameter estimation, nonlinearity, and Occam's razor ⋮ Symmetry and symmetry breaking in coupled oscillator communities ⋮ Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations ⋮ Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons ⋮ Multiscale dynamics in communities of phase oscillators ⋮ Average dynamics of a finite set of coupled phase oscillators ⋮ Control of collective network chaos ⋮ Noise-Driven Oscillations in Coupled Excitable Systems ⋮ Generating macroscopic chaos in a network of globally coupled phase oscillators

Cites Work

• Unnamed Item
• Deterministic Nonperiodic Flow
• The Topology of Chaos
• Low dimensional behavior of large systems of globally coupled oscillators
• Stability diagram for the forced Kuramoto model
• Long time evolution of phase oscillator systems

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