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The dynamics ofn weakly coupled identical oscillators
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Symmetry and phaselocking in chains of weakly coupled oscillators
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Global Bifurcations and Chaos
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Hopf bifurcation with the symmetry of the square
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Antiphase synchronization of phase-reduced oscillators using open-loop control
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Bifurcation study of phase oscillator systems with attractive and repulsive interaction
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Cluster synchronization in networks of identical oscillators with α -function pulse coupling
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Heteroclinic switching between chimeras
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Depolarization Induced Suppression of Excitation and the Emergence of Ultraslow Rhythms in Neural Networks
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Chaos in Symmetric Phase Oscillator Networks
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Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
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Robust Chaos in a Totally Symmetric Network of Four Phase Oscillators
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Interhyperhedral diffusion in Josephson-junction arrays
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Integrability of a globally coupled oscillator array
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Antiphase Switching in Josephson Junction Arrays
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Dynamics of a Ring of Pulse-Coupled Oscillators: Group-Theoretic Approach
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Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators
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Decoupled synchronized states in networks of linearly coupled limit cycle oscillators
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Synchronization of phase-coupled oscillators with arbitrary topology
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Neurocontrol: Methods, models and technologies for manipulating dynamics in the brain
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A new perspective on control of uncertain complex systems
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Constrained minimum-power control of spiking neuron oscillators
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Charge-balanced time-optimal control for spiking neuron oscillators
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Phase balancing in globally connected networks of Liénard oscillators
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Control and Synchronization of Neuron Ensembles
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Control of Oscillator Networks With Mean-Field Measurement: A Hybrid Open/Closed-Loop Approach
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Phase-Coupled Oscillators with Plastic Coupling: Synchronization and Stability
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Tautochronic Vibration Absorbers for Rotating Systems
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Optimal Inputs for Phase Models of Spiking Neurons
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Charge-Balanced Optimal Inputs for Phase Models of Spiking Neurons
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Frequency synchronization induced by frequency detuning
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Exotic states in a simple network of nanoelectromechanical oscillators
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Heteroclinic and Homoclinic Structures in the System of Four Identical Globally Coupled Phase Oscillators with Nonpairwise Interactions
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Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators
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Wave Formation through the Interactions between Clustered States and Local Coupling in Arrays of Neural Oscillators
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Novel Vehicular Trajectories for Collective Motion from Coupled Oscillator Steering Control
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Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
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Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model
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Double Hopf Bifurcation with Huygens Symmetry
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Stable Antiphase Oscillations in a Network of Electrically Coupled Model Neurons
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Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics
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Large-Time Dynamics of Kuramoto Oscillators under the Effects of Inertia and Frustration
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A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions
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Symmetry-Breaking Bifurcations and Patterns of Oscillations in Rings of Crystal Oscillators
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Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems
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Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations
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Oscillatory Networks: Insights from Piecewise-Linear Modeling
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Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting
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A Dynamical Theory of Spike Train Transitions in Networks of Integrate-and-Fire Oscillators
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Dimension reduction in heterogeneous neural networks: Generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA)
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A CAUTIONARY TALE OF COUPLING CELLS WITH INTERNAL SYMMETRIES
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TORI BREAKDOWN IN COUPLED MAP LATTICES
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Coupled Oscillatory Systems with 𝔻4 Symmetry and Application to van der Pol Oscillators
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A CLASS OF INTERACTING PARTICLE SYSTEMS ON THE INFINITE CYLINDER WITH FLOCKING PHENOMENA
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CHAOTIC ITINERANCY AS A MECHANISM OF IRREGULAR CHANGES BETWEEN SYNCHRONIZATION AND DESYNCHRONIZATION IN A NEURAL NETWORK
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Designing the Dynamics of Globally Coupled Oscillators
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A New Type of Irregular Motion in a Class of Game Dynamics Systems
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Infinitely Many Attractors in Game Dynamics System
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Dynamics of Trajectories and Weak Chimera Patterns in the Second‐Order Kuramoto Model With Damping Effects
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Design of Charge-Balanced Time-Optimal Stimuli for Spiking Neuron Oscillators
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Criteria for robustness of heteroclinic cycles in neural microcircuits
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Managing heterogeneity in the study of neural oscillator dynamics
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Coarse-Grained Clustering Dynamics of Heterogeneously Coupled Neurons
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Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience
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Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
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