Chimera states in uncoupled neurons induced by a multilayer structure

Majhi, Soumen; Perc, Matjaž; Ghosh, Dibakar

doi:10.1038/srep39033

Cited by 203 publications

(90 citation statements)

References 69 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some recent reports have also identified chimera states in neuronal systems 5,7,22,23 and superconducting Josephson junctions 24,25 , which encourage a search for future application possibilities. Recent studies have also reported emergence of chimera states in multiplex networks 26 . The effect of initial conditions on chimera states recently investigated using a basin stability approach 27 .…”

Section: Introductionmentioning

confidence: 96%

Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control

Bera

Ghosh

Parmananda

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

View full text Add to dashboard Cite

We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of the array, similar to chimera states, it splits into two/more sub-subpopulations coexisting in coherent and incoherent states for a range of self-feedback strength. By tuning the coupling between the nearest neighbors and the amount of self-feedback in the perturbed subpopulation, the size of the coherent and the incoherent sub-subpopulations in the array can be controlled, although the exact size of them is unpredictable. We present numerical evidence using the Landau-Stuart (LS) system and the KuramotoSakaguchi (KS) phase model. The symmetry breaking of a coherent population of identical oscillators under non-local, local and global coupling, into coexisting coherent and incoherent subpopulations is a strange behavior that has been discussed in recent literature of collective behavior of many dynamical systems. Such a self-organized behavior of a homogeneous population of oscillators is called chimera states. We observe emergence of a similar type of splitting into subsets of coexisting synchronous and asynchronous oscillators, when we apply a self-feedback to a coherent subset of oscillators in a locally coupled open chain of identical oscillators. Interestingly, the unperturbed subpopulation remains coherent for higher values of feedback strength. Most encouragingly, it shows a direction how the size of the coherent and the incoherent subpopulations in the chimera pattern can be monitored by playing with the feedback strength. We provide numerical evidence in two such arrays using the Landau-Stuart (LS) system and the Kuramoto-Sakaguchi (KS) phase model.

show abstract

Section: Introductionmentioning

confidence: 96%

Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control

Bera

Ghosh

Parmananda

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

View full text Add to dashboard Cite

show abstract

“…Subsequently, links were drawn to unihemispheric sleep, [18][19][20] information processing in biological networks, 21 molecular cell biology dynamics, 22 epileptic seizures, 23,24 social dynamics of cross cultural interactions, 25 dynamics of ecosystems, 26 evolutionary dynamics in biological, social, and ecological systems, 27,28 spin torque nano-oscillators, 29 and quorum sensing mechanisms. 30 Little is known however about the interplay of chimera states across separate networks. Recent studies showed that bidirectional couplings between networks can suppress 31,32 or induce [30][31][32] chimera states in individual networks, and coupling delays were found to play an important role in this multiplexing setting.…”

Section: Introductionmentioning

confidence: 99%

“…30 Little is known however about the interplay of chimera states across separate networks. Recent studies showed that bidirectional couplings between networks can suppress 31,32 or induce [30][31][32] chimera states in individual networks, and coupling delays were found to play an important role in this multiplexing setting. 30,32 Co-existing chimeras were reported to be either identical or non-identical across networks.…”

Section: Introductionmentioning

confidence: 99%

“…Recent studies showed that bidirectional couplings between networks can suppress 31,32 or induce [30][31][32] chimera states in individual networks, and coupling delays were found to play an important role in this multiplexing setting. 30,32 Co-existing chimeras were reported to be either identical or non-identical across networks. 31 However, from these studies [30][31][32] one cannot conclude if chimera states can be synchronized across networks.…”

Section: Introductionmentioning

confidence: 99%

“…30,32 Co-existing chimeras were reported to be either identical or non-identical across networks. 31 However, from these studies [30][31][32] one cannot conclude if chimera states can be synchronized across networks. We aim to close this gap by demonstrating generalized synchronization between chimera states.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Generalized synchronization between chimera states

Andrzejak

Ruzzene

Malvestio

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

Networks of coupled oscillators in chimera states are characterized by an intriguing interplay of synchronous and asynchronous motion. While chimera states were initially discovered in mathematical model systems, there is growing experimental and conceptual evidence that they manifest themselves also in natural and man-made networks. In real-world systems, however, synchronization and desynchronization are not only important within individual networks but also across different interacting networks. It is therefore essential to investigate if chimera states can be synchronized across networks. To address this open problem, we use the classical setting of ring networks of non-locally coupled identical phase oscillators. We apply diffusive drive-response couplings between pairs of such networks that individually show chimera states when there is no coupling between them. The drive and response networks are either identical or they differ by a variable mismatch in their phase lag parameters. In both cases, already for weak couplings, the coherent domain of the response network aligns its position to the one of the driver networks. For identical networks, a sufficiently strong coupling leads to identical synchronization between the drive and response. For non-identical networks, we use the auxiliary system approach to demonstrate that generalized synchronization is established instead. In this case, the response network continues to show a chimera dynamics which however remains distinct from the one of the driver. Hence, segregated synchronized and desynchronized domains in individual networks congregate in generalized synchronization across networks. Published by AIP Publishing. Notwithstanding their simple structure, networks of coupled oscillators can show intriguingly complex dynamics. In a classical setting, 1 identical phase oscillators are arranged on a ring and are connected by a nonlocal coupling, which has the same form for all oscillators. Despite this translational symmetry of the network, the oscillators can spontaneously form two complementary groups. While a group of oscillators rotates coherently, the remaining oscillators perform an erratic motion. This surprising co-existence of synchronous and asynchronous motion in a system of identical oscillators was named chimera state 2 and was subsequently found for a rich variety of different network topologies, oscillator types, and coupling schemes.3,4 So far, most work has focussed on chimera states in isolated networks. Realworld networks, however, are typically not isolated but connected to other networks. It is therefore essential to investigate the interplay of chimera states across separate networks. We here demonstrate that a simple coupling of oscillators across networks allows one to induce different types of synchronization between the networks. In particular, this includes generalized synchronization, where the state of a driving network fully determines the state of a response network, while both networks still show chimera states with distinct...

show abstract

A Comprehensive Categorization of Micro/Nanomechanical Resonators and Their Practical Applications from an Engineering Perspective: A Review

Ghaemi

Nikoobin

Ashory

2022

Adv Elect Materials

View full text Add to dashboard Cite

Micro/nanoelectromechanical systems (M/NEMS), especially micro/nanomechanical resonators, provide an unprecedented platform for investigating a wide range of applications in both fundamental physical phenomena (such as quantum‐level problems) and engineering and applied sciences (like sensing physical quantities and signal processing). In sensing context, these tiny resonators are invaluable tools for detecting weak forces and single molecules. Measuring such small variations in sub‐nanometer amplitudes at high frequencies has created many practical challenges. Therefore, maximizing the responsivity to a specified input parameter and minimizing the responsivity to other inputs such as noise are considered as the optimal design for the excellent performance in nanoresonators. The present review aims to summarize some of the recent progress in this rapidly advancing field. Specifically, more attention is paid to the topics related to the dynamical behaviors of micro/nanoresonator and their practical applications. First, the theory behind micro/nanoresonators is described. Then a summary is presented of the basic concepts in resonant devices. In addition, several commonly dynamical techniques to enhance sensitivity are introduced. Finally, the devices are classified based on linear and nonlinear, single and array, symmetric and asymmetric, and frequency shift‐based and amplitude shift‐based resonators, along with the relative advantages and disadvantages of each one in engineering applications.

show abstract

Chimera states in uncoupled neurons induced by a multilayer structure

Cited by 203 publications

References 69 publications

Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control

Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control

Generalized synchronization between chimera states

A Comprehensive Categorization of Micro/Nanomechanical Resonators and Their Practical Applications from an Engineering Perspective: A Review

Contact Info

Product

Resources

About