Collective phase description of oscillatory convection

DOI10.1063/1.4837775zbMath1331.34110arXiv1110.1128OpenAlexW2033614665WikidataQ45299072 ScholiaQ45299072MaRDI QIDQ2787903

Yoji Kawamura, Hiroya Nakao

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1110.1128

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Phase-response analysis of synchronization for periodic flows ⋮ Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations ⋮ Optimal waveform for fast synchronization of airfoil wakes ⋮ Chaotic dynamics of large-scale double-diffusive convection in a porous medium ⋮ Phase-synchronization properties of laminar cylinder wake for periodic external forcings ⋮ Phase-reduction for synchronization of oscillating flow by perturbation on surrounding structure ⋮ Phase-based control of periodic flows ⋮ On the concept of dynamical reduction: the case of coupled oscillators

Cites Work

• Chemical oscillations, waves, and turbulence
• Mathematical foundations of neuroscience
• Convection patterns in large aspect ratio systems
• Nonlinear oscillatory convection: A quantitative phase dynamics approach
• Euclidean invariant phase dynamics for propagating pattern
• Pulse-pulse interaction in reaction-diffusion systems
• Weakly connected neural networks
• The synchronization of chaotic systems
• Synchronization between two Hele-Shaw cells
• Renormalization group derivation of phase equations
• Phase Dynamics of Weakly Unstable Periodic Structures
• Pattern Formation and Dynamics in Nonequilibrium Systems
• On the Phase Reduction and Response Dynamics of Neural Oscillator Populations
• Convection in Porous Media
• Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case
• Pattern formation outside of equilibrium
• The geometry of biological time.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Collective phase description of oscillatory convection