Recent advances in coupled oscillator theory
From MaRDI portal
Publication:4993460
DOI10.1098/rsta.2019.0092zbMath1462.34059arXiv2001.10620OpenAlexW2981438761WikidataQ90960539 ScholiaQ90960539MaRDI QIDQ4993460
Dan Wilson, Youngmin Park, Bard Ermentrout
Publication date: 15 June 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.10620
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
Related Items (11)
Collective oscillations in coupled-cell systems ⋮ Traveling waves in non-local pulse-coupled networks ⋮ Adaptive dynamical networks ⋮ Synchronization of the Circadian Rhythms with Memory: A Simple Fractional-Order Dynamical Model Based on Tow Coupled Oscillators ⋮ Phase-locked solutions of a coupled pair of nonidentical oscillators ⋮ Global phase-amplitude description of oscillatory dynamics via the parameterization method ⋮ High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators ⋮ Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs ⋮ Collective in-plane magnetization in a two-dimensional XY macrospin system within the framework of generalized Ott–Antonsen theory ⋮ Sparse optimization of mutual synchronization in collectively oscillating networks ⋮ Generalized splay states in phase oscillator networks
Cites Work
- Dynamics and bifurcations of non-smooth mechanical systems
- Chemical oscillations, waves, and turbulence
- Mathematical foundations of neuroscience
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Isochrons and phaseless sets
- Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
- Greater accuracy and broadened applicability of phase reduction using isostable coordinates
- Phase-amplitude descriptions of neural oscillator models
- Phase-amplitude response functions for transient-state stimuli
- Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators
- Piecewise-smooth dynamical systems. Theory and applications
- On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics
- Coupled Chemical Oscillators
- Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
- Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
- Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
- A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane
- An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators
- Synchrony in networks of coupled non-smooth dynamical systems: Extending the master stability function
- Chaos in generically coupled phase oscillator networks with nonpairwise interactions
- Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
- The infinitesimal phase response curves of oscillators in piecewise smooth dynamical systems
- Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate
- Averaging methods in nonlinear dynamical systems
- Phase locking in networks of synaptically coupled McKean relaxation oscillators
This page was built for publication: Recent advances in coupled oscillator theory
