Bifurcations in phase oscillator networks with a central element
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Publication:446139
DOI10.1016/J.PHYSD.2012.02.020zbMath1300.34079OpenAlexW2003801212MaRDI QIDQ446139
Oleksandr Burylko, Yakov B. Kazanovich, Roman M. Borisyuk
Publication date: 28 August 2012
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2012.02.020
Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)
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Cites Work
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- Desynchronization transitions in nonlinearly coupled phase oscillators
- Visual perception of ambiguous figures: synchronization based neural models
- Chemical oscillations, waves, and turbulence
- Synchronization in weighted scale-free networks with degree-degree correlation
- Averaging of globally coupled oscillators
- Synchronization in a neural network of phase oscillators with the central element
- Constants of motion for superconducting Josephson arrays
- On the nonlinear stability of the 1:1:1 ABC flow
- The dynamics of \(n\) weakly coupled identical oscillators
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Oscillatory model of attention-guided object selection and novelty detection
- Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
- Synchronization in ensembles of coupled maps with a major element
- Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators
- Dynamics of a globally coupled oscillator array
- The size of the sync basin
- Chaotic streamlines in the ABC flows
- NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
- Hopf bifurcation with cubic symmetry and instability of ABC flow
- Synchronization in Oscillator Systems with a Central Element and Phase Shifts
- Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
- An Oscillatory Neural Model of Multiple Object Tracking
- Elements of applied bifurcation theory
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