Synchronization of spatially extended chaotic systems with asymmetric coupling

Boccaletti, Stefano; Mendoza, Carolina; Bragard, J.

doi:10.1590/s0103-97332005000300008

Cited by 4 publications

(2 citation statements)

References 33 publications

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“…The fundamental role of asymmetric interactions on extended systems has been discussed previously. Asymmetry induced effects on the synchronization process of a pair of coupled fields have been reported in [44], where it has been particularly argued that small changes in the asymmetry of the interactions could be used as an efficient way to synchronize or desynchronize the dynamics, as well as select the main statistical properties of the synchronized motion in ensembles of interacting units and consequently, may have relevant consequences in natural systems. In [45] the synchronization process of a ciliary chain attached to a cylindrical surface has been investigated.…”

Section: Discussionmentioning

confidence: 99%

Self-organization of self-clearing beating patterns in an array of locally interacting ciliated cells formulated as an adaptive Boolean network

2019

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We present a two-dimensional array of locally interacting virtual actuators, which exhibits selforganization towards self-cleaning spatio-temporal structures. Some of the elaborated results might be more general for dynamical systems based on local interactions. However, here, we would like to present our model under the aspect of mucociliary clearance. The observed spatio-temporal ciliary beat patterns leading to proper mucociliary transport on multiciliated epithelia are suspected to be the result of self-organizing processes on various levels. Our two-dimensional array of locally interacting system elements can be seen as an oversimplified pluricellular epithelium model, which intends to make the self-organization of ciliary beating patterns as well as of the associated fluid transport across the airway epithelium plausible. Ciliated cells are modeled in terms of locally interacting oscillating two-state actuators. The local interactions among these boolean actuators are triggered by seeded mucus lumps. In the course of a simulation the actuators' state and the associated mucus velocity field self-organize in tandem. We suggest to consider the dynamics on multiciliated epithelia in the context of adaptive (boolean) networks. Within the framework of adaptive boolean networks ciliated cells represent the nodes and as the mucus establishes the local interactions among nodes, its distribution determines the topology of the network. Furthermore, we present the results and insights from comprehensive parameter studies. The results show evidence that so called deterministic update schemes, which are meant to represent intercellular signaling, lead to more realistic and robust dynamics and may therefore be favored by nature. Finally, we suppose that unciliated cells introduce a modular network topology on ciliated epithelia causing the self-organization taking place simultaneously in each "ciliated module". This reasoning provides the first consistent explanation for the meaning of the observed patchy expression patterns of the mucus modulation wave fields. Modularity may therefore be seen as a modular construction plan of nature for ciliated epithelia whose number of cells range over several order of magnitudes.

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Section: Discussionmentioning

confidence: 99%

Self-organization of self-clearing beating patterns in an array of locally interacting ciliated cells formulated as an adaptive Boolean network

2019

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“…How do these groups interact? Studies of stochastic resonance, for example, form a field of their own, yet they (e.g., Boccaletti et al 2005;Makarenko and Llinás 1998;Hipp et al 2011;Foss et al 1996;Hoang 2011;Klinshov and Nekorkin 2011, are a very small subset of examples in this field) are largely concerned with elements which might be taken as such groups, becoming, in effect, united into one large resonating array (although see, e.g., Okamoto et al 2007). But to be taken as a singular object, an ENE cannot be the only resonating group, and the ''observing'' group must be resonating at a different rate.…”

Section: 2mentioning

confidence: 99%

Emergence in the central nervous system

Brown

2012

Cogn Neurodyn

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''Emergence'' is an idea that has received much attention in consciousness literature, but it is difficult to find characterizations of that concept which are both specific and useful. I will precisely define and characterize a type of epistemic (''weak'') emergence and show that it is a property of some neural circuits throughout the CNS, on micro-, meso-and macroscopic levels. I will argue that possession of this property can result in profoundly altered neural dynamics on multiple levels in cortex and other systems. I will first describe emergent neural entities (ENEs) abstractly. I will then show how ENEs function specifically and concretely, and demonstrate some implications of this type of emergence for the CNS.

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Generalized Synchronization of a Class of Spatiotemporal Chaotic Systems Using Nonlinear Observers

Torres¹,

Besançon

Verde³

et al. 2015

Int. J. Bifurcation Chaos

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International audienceThis article proposes an approach to synchronize a class of unidimensional spatiotemporal chaotic systems using exponential nonlinear observers. The article focuses on generalized synchronization with parameter mismatching and a unidirectional master–slave topology. The approach involves the conception of two different nonlinear observers to estimate the unknown parameters of a master system, such that the estimated parameters can be injected into a controller tosynchronize the slave with the master. To illustrate the proposed approach, an example based on the Gray–Scott equations that exposes the synchronization and the observer conception is presented

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Synchronization of spatially extended chaotic systems with asymmetric coupling

Cited by 4 publications

References 33 publications

Self-organization of self-clearing beating patterns in an array of locally interacting ciliated cells formulated as an adaptive Boolean network

Self-organization of self-clearing beating patterns in an array of locally interacting ciliated cells formulated as an adaptive Boolean network

Emergence in the central nervous system

Generalized Synchronization of a Class of Spatiotemporal Chaotic Systems Using Nonlinear Observers

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