Dynamics of globally coupled oscillators: Progress and perspectives

From MaRDI portal
Publication:4591755

DOI10.1063/1.4922971zbMath1374.34001arXiv1504.06747OpenAlexW768615098WikidataQ38597326 ScholiaQ38597326MaRDI QIDQ4591755

Michael G. Rosenblum, Arkadij S. Pikovskij

Publication date: 17 November 2017

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

Full work available at URL: https://arxiv.org/abs/1504.06747



Related Items

Collective dynamics of neural network with distance dependent field coupling, Traveling chimera states, Long-range interaction induced collective dynamical behaviors, Non-pairwise Interaction in Oscillatory Ensembles: from Theory to Data Analysis, Circular cumulant reductions for macroscopic dynamics of Kuramoto ensemble with multiplicative intrinsic noise, Periodic orbits in the Ott–Antonsen manifold, Collective mode reductions for populations of coupled noisy oscillators, The mathematics behind chimera states, Synchronization of relativistic particles in the hyperbolic Kuramoto model, Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization, Star-type oscillatory networks with generic Kuramoto-type coupling: A model for “Japanese drums synchrony”, Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling, Mean-field coupled systems and self-consistent transfer operators: a review, Spontaneous collective synchronization in the Kuramoto model with additional non-local interactions, Strong disorder RG approach -- a short review of recent developments, Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators, Multisoliton complex systems with explicit superpotential interactions, Death and rebirth of neural activity in sparse inhibitory networks, Synchronization dynamics of phase oscillators with generic adaptive coupling, Adaptive elimination of synchronization in coupled oscillator, Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach, Reinforcement learning for suppression of collective activity in oscillatory ensembles, The WS transform for the Kuramoto model with distributed amplitudes, phase lag and time delay, Hyperbolic geometry of Kuramoto oscillator networks, Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review, Is there an impact of small phase lags in the Kuramoto model?, Network-complement transitions, symmetries, and cluster synchronization, Nonmonotonic critical threshold in the Kuramoto model, Dense networks that do not synchronize and sparse ones that do, Dynamics of the Kuramoto-Sakaguchi oscillator network with asymmetric order parameter, Symmetry broken states in an ensemble of globally coupled pendulums, Cluster singularity: The unfolding of clustering behavior in globally coupled Stuart-Landau oscillators, Model reduction for the collective dynamics of globally coupled oscillators: From finite networks to the thermodynamic limit, Variety of rotation modes in a small chain of coupled pendulums, Universal transition to inactivity in global mixed coupling, Nonstationary coherence–incoherence patterns in nonlocally coupled heterogeneous phase oscillators, The role of timescale separation in oscillatory ensembles with competitive coupling, Solitary phase waves in a chain of autonomous oscillators, Finite-size effects in a stochastic Kuramoto model, Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems, Polaritons and excitons: Hamiltonian design for enhanced coherence, The route to synchrony via drum head mode and mixed oscillatory state in star coupled Hindmarsh-Rose neural network, Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling, Bifurcation of the collective oscillatory state in phase oscillators with heterogeneity coupling, Twisted states in a system of nonlinearly coupled phase oscillators, Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization, Blinking chimeras in globally coupled rotators, Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks, Exact dynamics of phase transitions in oscillator populations with nonlinear coupling, State-dependent effective interactions in oscillator networks through coupling functions with dead zones, Nonlinear phase coupling functions: a numerical study, Modeling synchronization in globally coupled oscillatory systems using model order reduction, Universality in the firing of minicolumnar-type neural networks, Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions, The mathematics of asymptotic stability in the Kuramoto model, Collective dynamics and energy aspects of star-coupled Hindmarsh-Rose neuron model with electrical, chemical and field couplings, Heterogeneous phase oscillators under symmetry breaking of coupling strength: optimal synchronization and desynchronization under strong gain, A minimal model of self-consistent partial synchrony, Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation, Generalized splay states in phase oscillator networks, Sufficiently dense Kuramoto networks are globally synchronizing, Exact solutions of the abrupt synchronization transitions and extensive multistability in globally coupled phase oscillator populations



Cites Work