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NEW JOURNAL OF PHYSICS, ISSN 1367-2630, 09/2019, Volume 21, Issue 9, p. 93034
Chimera states, or coherence-incoherence patterns in systems of symmetrically coupled identical oscillators, have been the subject of intensive study for the... 
chimera states | STATES | coherence-incoherence patterns | PHYSICS, MULTIDISCIPLINARY | STABILITY | POPULATIONS | bifurcation analysis | SYNCHRONIZATION | OSCILLATORS | coupled oscillators | KURAMOTO | Ott-Antonsen equation | COMPLEX NETWORKS | BIFURCATION | ONSET | Oscillators
Journal Article
Chaos, ISSN 1054-1500, 07/2018, Volume 28, Issue 7
The classical notion of excitability refers to an equilibrium state that shows under the influence of perturbations a nonlinear threshold-like behavior. Here,... 
Noise | Relaxation oscillations | Dependence | Oscillations | Nonlinear response
Journal Article
Chaos, ISSN 1054-1500, 09/2016, Volume 26, Issue 9
We discuss the influence of small phase lags on the synchronization transitions in the Kuramoto model for a large inhomogeneous population of globally coupled... 
Resonant frequencies | Synchronism | Incoherence | Phase lag | Coupling | Oscillators
Journal Article
Physical Review Letters, ISSN 0031-9007, 02/2014, Volume 112, Issue 5, p. 054102
We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows... 
PHYSICS, MULTIDISCIPLINARY | PATTERNS
Journal Article
Physical Review Letters, ISSN 0031-9007, 02/2015, Volume 112, Issue 5
We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows... 
Tracking | Initial conditions | Chaos theory | Mathematical analysis | Fluctuation | Coherence | Control systems | Oscillators
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 07/2011, Volume 84, Issue 1, p. 015201
Spatiotemporal chaos and turbulence are universal concepts for the explanation of irregular behavior in various physical systems. Recently, a remarkable new... 
PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | BEHAVIOR
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2018, Volume 17, Issue 1, pp. 97 - 127
We study destabilization mechanisms of spiral coherence-incoherence patterns known as spiral chimera states that form on a two-dimensional lattice of... 
Chimera states | Coupled oscillators | Ott–Antonsen equation | Bifurcation analysis | Coherence-incoherence patterns | chimera states | MATHEMATICS, APPLIED | coherence-incoherence patterns | coupled oscillators | NETWORKS | Ott-Antonsen equation | bifurcation analysis | PHYSICS, MATHEMATICAL | COHERENCE | INCOHERENCE
Journal Article
Physical Review Letters, ISSN 0031-9007, 05/2013, Volume 110, Issue 22, p. 224101
Systems of nonlocally coupled oscillators can exhibit complex spatiotemporal patterns, called chimera states, which consist of coexisting domains of spatially... 
DYNAMICS | NETWORKS | LATTICES | PHYSICS, MULTIDISCIPLINARY | CHIMERA | Models, Theoretical | Biological Clocks | Models, Neurological
Journal Article
Chaos, ISSN 1054-1500, 05/2015, Volume 25, Issue 5
We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera... 
Toruses | Computer simulation | Identification methods | Chaos theory | Cascades | Incoherence | Order parameters | Bifurcation theory | Feedback loops | Phase lag | Period doubling | Oscillators
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2012, Volume 109, Issue 16, p. 164101
We investigate the transition to synchrony in a system of phase oscillators that are globally coupled with a phase lag (Sakaguchi-Kuramoto model). We show that... 
PHYSICS, MULTIDISCIPLINARY | ARRAY
Journal Article
Physical Review Letters, ISSN 0031-9007, 03/2016, Volume 116, Issue 11, p. 114101
We propose a control scheme which can stabilize and fix the position of chimera states in small networks. Chimeras consist of coexisting domains of spatially... 
STATES | PHYSICS, MULTIDISCIPLINARY | OSCILLATORS | DYNAMICS | PATTERNS | COHERENCE | INCOHERENCE | Networks | Dynamics | Coherence | Joining | Drift | Dynamical systems | Oscillators
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 06/2010, Volume 81, Issue 6, p. 065201
Chimera states are a recently new discovered dynamical phenomenon that appears in arrays of nonlocally coupled oscillators and displays a spatial pattern of... 
PHYSICS, FLUIDS & PLASMAS | DYNAMICS | SPATIAL WORKING-MEMORY | KURAMOTO | COUPLED OSCILLATORS | NETWORK MODEL | PHYSICS, MATHEMATICAL | Motion | Stochastic Processes | Time Factors | Diffusion | Nonlinear Dynamics
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 07/2018, Volume 28, Issue 7, p. 071105
The classical notion of excitability refers to an equilibrium state that shows under the influence of perturbations a nonlinear threshold-like behavior. Here,... 
MATHEMATICS, APPLIED | WAVES | RESONANCE | BEHAVIOR | SYSTEMS | NOISE | OSCILLATIONS | PHYSICS, MATHEMATICAL
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 11/2013, Volume 263, pp. 74 - 85
We analyze the Sakaguchi–Kuramoto model of coupled phase oscillators in a continuum limit given by a frequency dependent version of the Ott–Antonsen system.... 
Coupled oscillators | Synchronization | Ott–Antonsen reduction | Sakaguchi–Kuramoto model | Sakaguchi-Kuramoto model | Ott-Antonsen reduction | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | LOCKED STATE | POPULATIONS | SPECTRUM | PHYSICS, MATHEMATICAL
Journal Article
Chaos, ISSN 1054-1500, 2015, Volume 25, Issue 5, p. 053113
We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera... 
MATHEMATICS, APPLIED | NETWORKS | CHIMERA STATES | PHYSICS, MATHEMATICAL | EXCITATION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | NONLOCAL POTENTIAL | OSCILLATORS | CHIMERAS | ORDER PARAMETERS | PHASE OSCILLATIONS | COUPLING | BIFURCATION | CHAOS THEORY | FEEDBACK | COMPUTERIZED SIMULATION
Journal Article
Physical Review Letters, ISSN 0031-9007, 01/2008, Volume 100, Issue 4, p. 044105
Chimera states are remarkable spatiotemporal patterns in which coherence coexists with incoherence. As yet, chimera states have been considered as nongeneric,... 
SYNCHRONIZATION | KURAMOTO | SYSTEMS | COUPLED OSCILLATORS | PHYSICS, MULTIDISCIPLINARY | TIME-DELAY
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 06/2014, Volume 24, Issue 2, p. 023102
We consider a one-dimensional array of phase oscillators with non-local coupling and a Lorentzian distribution of natural frequencies. The primary objects of... 
SYNCHRONIZATION | MATHEMATICS, APPLIED | CHIMERA STATES | RING | KURAMOTO NETWORKS | BASIN | PHYSICS, MATHEMATICAL | PARADIGM | Coupling | Arrays | Resonant frequencies | Oscillators | SPACE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | STABILITY | ONE-DIMENSIONAL CALCULATIONS | COUPLING | SIMULATION
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 09/2016, Volume 26, Issue 9, p. 094806
We discuss the influence of small phase lags on the synchronization transitions in the Kuramoto model for a large inhomogeneous population of globally coupled... 
MATHEMATICS, APPLIED | ENTRAINMENT | COUPLED OSCILLATORS | PHYSICS, MATHEMATICAL | BIFURCATION | ARRAYS | ONSET
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 12/2010, Volume 82, Issue 6, p. 066201
Recently, we have presented spatially modulated delayed feedback as a novel mechanism, which generically generates chimera states, remarkable spatiotemporal... 
SYNCHRONIZATION | STIMULATION | PHYSICS, FLUIDS & PLASMAS | STABILITY | DYNAMICS | LOCKED STATE | NETWORKS | COUPLED OSCILLATORS | KURAMOTO MODEL | SPECTRUM | PHYSICS, MATHEMATICAL | TIME-DELAY | Models, Theoretical | Linear Models | Time Factors | Feedback
Journal Article
Physical Review E, ISSN 2470-0045, 06/2018, Volume 97, Issue 6
Interactions among discrete oscillatory units (e.g., cells) can result in partially synchronized states when some of the units exhibit phase locking and others... 
CHEMICAL OSCILLATORS | NETWORK | CHIMERA STATES | PHYSICS, FLUIDS & PLASMAS | MUTUAL ENTRAINMENT | POPULATIONS | KURAMOTO MODEL | COUPLED OSCILLATORS | TRANSITIONS | PHYSICS, MATHEMATICAL | COHERENCE | CLOCK
Journal Article
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