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The monogamous nature of entanglement has been illustrated by the derivation of entanglement sharing inequalities - bounds on the amount of entanglement that can be shared amongst the various parts of a multipartite system. Motivated by…

Quantum Physics · Physics 2009-11-10 Christopher M. Dawson , Andrew P. Hines , Ross H. McKenzie , G. J. Milburn

We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that nonlocal coupling and features of the partial elements lead to arising of multistability in the system. The…

Adaptation and Self-Organizing Systems · Physics 2018-12-13 Nadezhda Semenova , Tatyana Vadivasova , Vadim Anishchenko

We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together…

Chaotic Dynamics · Physics 2015-06-16 Johanne Hizanidis , Vasilis Kanas , Anastasios Bezerianos , Tassos Bountis

Chimera states occur in networks of coupled oscillators, and are characterized by having some fraction of the oscillators perfectly synchronized, while the remainder are desynchronized. Most chimera states have been observed in networks of…

Chaotic Dynamics · Physics 2015-05-19 Carlo R. Laing

Chimera states and bump states are collective synchronization phenomena observed independently (at different parameter regions) in networks of coupled nonlinear oscillators. And while chimera states are characterized by coexistence of…

Chaotic Dynamics · Physics 2024-10-21 Astero Provata , Yannis Almirantis , Wentian Li

We explore numerically the impact of additive Gaussian noise on the spatio-temporal dynamics of ring networks of nonlocally coupled chaotic maps. The local dynamics of network nodes is described by the logistic map, the Ricker map, and the…

Disordered Systems and Neural Networks · Physics 2023-07-06 Elena Rybalova , Vasilii Nechaev , Eckehard Schöll , Galina Strelkova

The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or…

Adaptation and Self-Organizing Systems · Physics 2022-01-26 Malbor Asllani , Bram A. Siebert , Alex Arenas , James P. Gleeson

We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable…

Chaotic Dynamics · Physics 2016-01-20 Arindam Mishra , Chittaranjan Hens , Mridul Bose , Prodyot K. Roy , Syamal K. Dana

This lecture is a tutorial introduction to coherent effects in disordered electronic systems. Avoiding technicalities as most as possible, I present some personal points of view to describe well-known signatures of phase coherence like weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux

We present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution. We observe a separatrix which progressively alters shape for…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Kozinsky , H. W. Ch. Postma , O. Kogan , A. Husain , M. L. Roukes

Formation of diverse patterns in spatially extended reaction-diffusion systems is an important aspect of study which is pertinent to many chemical and biological processes. Of special interest is the peculiar phenomenon of chimera state…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 Srilena Kundu , Paulsamy Muruganandam , Dibakar Ghosh , M. Lakshmanan

As the parameters of a map are varied an attractor may vary continuously in the Hausdorff metric. The purpose of this paper is to explore the continuation of chaotic attractors. We argue that this is not a helpful concept for smooth…

Dynamical Systems · Mathematics 2019-07-01 Paul A. Glendinning , David J. W. Simpson

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

Chaotic Dynamics · Physics 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

We study chimera states, which are partial synchronization patterns consisting of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, in ring networks of FitzHugh-Nagumo oscillators with fractal…

Adaptation and Self-Organizing Systems · Physics 2019-03-27 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

We study the decoherence of two coupled spins that interact with a chaotic spin-bath environment. It is shown that connectivity of spins in the bath is of crucial importance for the decoherence of the central system. The previously found…

Other Condensed Matter · Physics 2007-07-18 Shengjun Yuan , Mikhail I. Katsnelson , Hans De Raedt

We show that dynamical clustering, where a system segregates into distinguishable subsets of synchronized elements, and chimera states, where differentiated subsets of synchronized and desynchronized elements coexist, can emerge in networks…

Adaptation and Self-Organizing Systems · Physics 2021-02-12 M. G. Cosenza , O. Alvarez-Llamoza , A. V. Cano

We have computed the low energy quantum states and low frequency dynamical susceptibility of complex quantum spin systems in the limit of strong interactions, obtaining exact results for system sizes enormously larger than accessible…

Statistical Mechanics · Physics 2007-05-23 J. W. Landry , S. N. Coppersmith

Semiconductor laser arrays have been investigated experimentally and theoretically from the viewpoint of temporal and spatial coherence for the past forty years. In this work, we are focusing on a rather novel complex collective behavior,…

Adaptation and Self-Organizing Systems · Physics 2017-01-19 Joniald Shena , Johanne Hizanidis , Vassilios Kovanis , George P. Tsironis

We investigate the emergence of localized coherent behavior in a system consisting of two populations of social agents possessing a condition for non-interacting states, mutually coupled through global interaction fields. As an example of…

Physics and Society · Physics 2013-12-31 J. C. González-Avella , M. G. Cosenza , M. San Miguel

Recently a concept of self-excited and hidden attractors was suggested: an attractor is called a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium, otherwise it is called a hidden attractor. For…

Chaotic Dynamics · Physics 2016-03-04 N. V. Kuznetsov