Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics
From MaRDI portal
Publication:2070880
DOI10.3934/dcds.2021134OpenAlexW3199960879MaRDI QIDQ2070880
Publication date: 24 January 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04678
(n)-body problems (70F10) Dynamical systems methods for problems in mechanics (70G60) Synchronization of solutions to ordinary differential equations (34D06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Synchronization in complex networks of phase oscillators: a survey
- Chemical oscillations, waves, and turbulence
- Large scale dynamics of the persistent turning Walker model of fish behavior
- Emergent behaviors of Lohe tensor flocks
- Collective behaviors of a Winfree ensemble on an infinite cylinder
- Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
- The Watanabe-Strogatz transform and constant of motion functionals for kinetic vector models
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
- Emergence of phase-locked states for the Winfree model in a large coupling regime
- A global well-posedness and asymptotic dynamics of the kinetic Winfree equation
- Synchronization analysis of Kuramoto oscillators
- Emergent dynamics of Winfree oscillators on locally coupled networks
- Emergence of partial locking states from the ensemble of Winfree oscillators
- Quantum synchronization over quantum networks
- Non-Abelian Kuramoto models and synchronization
- Robustness and asymptotic stability for the Winfree model on a general network under the effect of time-delay
- Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators
- Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics
- Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization
