The Winfree model with non-infinitesimal phase-response curve: Ott–Antonsen theory
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Publication:5129838
DOI10.1063/5.0015131zbMath1445.34059arXiv2007.13588OpenAlexW3100953136WikidataQ98203148 ScholiaQ98203148MaRDI QIDQ5129838
Publication date: 2 November 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.13588
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)
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- Chemical oscillations, waves, and turbulence
- Mathematical foundations of neuroscience
- The dynamics of \(n\) weakly coupled identical oscillators
- Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
- Variety and generality of clustering in globally coupled oscillators
- Networks of theta neurons with time-varying excitability: macroscopic chaos, multistability, and final-state uncertainty
- An Introduction to Modeling Neuronal Dynamics
- Sensitivity Analysis of Oscillator Models in the Space of Phase-Response Curves: Oscillators As Open Systems
- Dissecting the Phase Response of a Model Bursting Neuron
- Ott-Antonsen attractiveness for parameter-dependent oscillatory systems
- Chaos in Kuramoto oscillator networks
- The Winfree model with heterogeneous phase-response curves: analytical results
- Low dimensional behavior of large systems of globally coupled oscillators
- Long time evolution of phase oscillator systems
- Generating macroscopic chaos in a network of globally coupled phase oscillators
- Comment on “Long time evolution of phase oscillator systems” [Chaos 19, 023117 (2009)]
- Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
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