Cognitive chimera states in human brain networks

Bansal, Kanika; Garcia, Javier O.; Tompson, Steven H.; Verstynen, Timothy D.; Vettel, Jean M.; Muldoon, Sarah F.

doi:10.1126/sciadv.aau8535

Cited by 129 publications

(106 citation statements)

References 86 publications

(147 reference statements)

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“…This regime is denoted by letters INC in the regime diagram. The chimera-like structures are realized in the system (2), when values of the coupling strength and the coupling range increase. This regime is illustrated in a snapshot of the system state in Fig.2 and denoted by letters CL in the regimes diagram in Figs.…”

Section: Basic Dynamical Regimes Of the Lattice (2)mentioning

confidence: 99%

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Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

Shepelev

Bukh

Muni

et al. 2020

Chaos, Solitons & Fractals

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The behaviour of the ensemble of coupled van der Pol oscillators is abundant when coupling parameters are changed. Incoherent and chimeralike regimes are observed at small values of the coupling strength parameter. Synchronization takes place with increasing of the coupling strength and coupling range parameters. Various chimera and solitary states are realised when the coupling strength parameter is sufficiently large. The single van der Pol oscillator is taken in the regime of relaxation oscillations. Therefore, the lattice may realise spiral wave and spiral wave chimera regimes. Besides, target wave and solitary state regimes are observed in the ensemble. Finally, the solitary state and solitary state chimera regimes are firstly shown for the lattice of coupled van der Pol oscillators.

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Section: Basic Dynamical Regimes Of the Lattice (2)mentioning

confidence: 99%

“…Moreover, the phase portrait projections for oscillators in the solitary state regime are very similar. It enables us to assume that the nature of the solitary state appearance is the same both inside the incoherence cluster and outside it in the lattice (2).…”

Section: Target Wave Chimeramentioning

confidence: 99%

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

Shepelev

Bukh

Muni

et al. 2020

Chaos, Solitons & Fractals

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“…In this study we discuss the dynamics of chimera states, defined by the coexistence of spatial regions with coherent and incoherent dynamics. They can be found in many reallife systems, like in superconducting quantum interference devices (SQUIDS) [15,16], the cognitive organization of the brain [17,18], in biological systems like self-propelled particles [19], or neural networks [20,21]. In addition, chimera states were found in quantum mechanics [22] or mechanical oscillators [23].…”

Section: Introductionmentioning

confidence: 99%

Susceptibility of transient chimera states

Lilienkamp

Parlitz

2020

Phys. Rev. E

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Chaotic dynamics of a dynamical system is not necessarily persistent. If there is (without any active intervention from outside) a transition towards a (possibly nonchaotic) attractor, this phenomenon is called transient chaos, which can be observed in a variety of systems, e.g., in chemical reactions, population dynamics, neuronal activity, or cardiac dynamics. Also, chimera states, which show coherent and incoherent dynamics in spatially distinct regions of the system, are often chaotic transients. In many practical cases, the control of the chaotic dynamics (either the termination or the preservation of the chaotic dynamics) is desired. Although the self-termination typically occurs quite abruptly and can so far in general not be properly predicted, previous studies showed that in many systems a 'terminal transient phase" (TTP) prior to the self-termination existed, where the system was less susceptible against small but finite perturbations in different directions in state space. In this study, we show that, in the specific case of chimera states, these susceptible directions can be related to the structure of the chimera, which we divide into the coherent part, the incoherent part and the boundary in between. That means, in practice, if self-termination is close we can identify the direction of perturbation which is likely to maintain the chaotic dynamics (the chimera state). This finding improves the general understanding of the state space structure during the TTP, and could contribute also to practical applications like future control strategies of epileptic seizures which have been recently related to the collapse of chimera states.

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“…Chimera states were first discovered in 2002 in a system of coupled Kuramoto phase oscillators [1,2] and were further established 2 years later in a seminal work by Abrams and Strogatz [3]. They captivated scientific interest during the past 15 years due to their intriguing structural and dynamical properties and to potential applications in physics [4][5][6][7], chemistry [8][9][10], and biology [11][12][13][14][15][16]. Although original studies referred to coupled phase oscillators, later works have reported chimera states in coupled FitzHugh-Nagumo, Hindmarsh-Rose, Van der Pol, and Leaky Integrate-and-Fire (LIF) oscillator networks [17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Chimera States With 2D Deterministic and Random Fractal Connectivity

Argyropoulos

Provata

2019

Front. Appl. Math. Stat.

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We study the formation of chimera states in 2D lattices with hierarchical (fractal) connectivity. The dynamics of the nodes follow the Leaky Integrate-and-Fire model and the connectivity has the form of a deterministic or a random Sierpinski carpet. We provide numerical evidence that for deterministic fractal connectivity and small values of the coupling strength, a hierarchical incoherent spot is produced with internal structure influenced by the fractal connectivity scheme. The spot size is similar to the size of the coupling matrix. Stable spots can be formed for symmetric fractal connectivity, while traveling ones are found when the connectivity matrix is asymmetric with respect to the center. For fractal coupling schemes spiral wave chimeras are produced and curious stable patterns are reported, which present triple coexistence of coherent regions, incoherent domains and traveling waves. In all cases, the coherent domains demonstrate the lowest mean phase velocities ω, the incoherent domains show intermediate ω-velocities, while the traveling waves show the highest ω-values. These findings confirm previous studies on symmetric deterministic hierarchical connectivities and extend here to slanted and random fractals.

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Cognitive chimera states in human brain networks

Cited by 129 publications

References 86 publications

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

Susceptibility of transient chimera states

Chimera States With 2D Deterministic and Random Fractal Connectivity

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