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Wave chaotic systems underpin a wide range of research activities, from fundamental studies of quantum chaos via electromagnetic compatibility up to more recently emerging applications like microwave imaging for security screening, antenna…

Applied Physics · Physics 2020-07-01 Jean-Baptiste Gros , Philipp del Hougne , Geoffroy Lerosey

Following a brief historical introduction of the notions of chaos in dynamical systems, we will present recent developments that attempt to profit from the rich structure and complexity of the chaotic dynamics. In particular, we will…

Chaotic Dynamics · Physics 2009-10-31 Louis J. Dube' , Philippe Despres

The sequences, given by a 7D map have been analysed by means of the methods, widely used to detect chaos in the real world in order to test their sensitivity to chaotic features of a non-linear system determined by comparatively high number…

Chaotic Dynamics · Physics 2015-04-07 Boyan Hristozov Petkov

We explore the chaotic dynamics and complexity of a neuro-system with respect to variable synaptic weights in both noise free and noisy conditions. The chaotic dynamics of the system is investigated by bifurcation analysis and 0-1 test. A…

Chaotic Dynamics · Physics 2021-03-17 Sanjay K. Palit , Sayan Mukherjee

It has been proposed to make practical use of chaos in communication, in enhancing mixing in chemical processes and in spreading the spectrum of switch-mode power suppies to avoid electromagnetic interference. It is however known that for…

chao-dyn · Physics 2009-10-31 Soumitro Banerjee , James A. Yorke , Celso Grebogi

Chaos is omnipresent in nature, and its understanding provides enormous social and economic benefits. However, the unpredictability of chaotic systems is a textbook concept due to their sensitivity to initial conditions, aperiodic behavior,…

Shedding light onto how biological systems represent, process and store information in noisy environments is a key and challenging goal. A stimulating, though controversial, hypothesis poses that operating in dynamical regimes near the edge…

Disordered Systems and Neural Networks · Physics 2021-07-14 Guillermo B. Morales , Miguel A. Muñoz

We introduce a model of randomly connected neural populations and study its dynamics by means of the dynamical mean-field theory and simulations. Our analysis uncovers a rich phase diagram, featuring high- and low-dimensional chaotic…

Biological Physics · Physics 2025-05-01 Łukasz Kuśmierz , Ulises Pereira-Obilinovic , Zhixin Lu , Dana Mastrovito , Stefan Mihalas

We demonstrate targeting and control over spatiotemporal chaos in an optical feedback loop experiment. Different stationary target patterns are stabilized in real-time by means of a two dimensional space extended perturbation field driven…

Chaotic Dynamics · Physics 2009-11-10 L. Pastur , L. Gostiaux , U. Bortolozzo , S Boccaletti , P. L Ramazza

A collective chaotic phase with power law scaling of activity events is observed in a disordered mean field network of purely excitatory leaky integrate-and-fire neurons with short-term synaptic plasticity. The dynamical phase diagram…

Disordered Systems and Neural Networks · Physics 2017-03-20 Fabrizio Pittorino , Miguel Ibáñez-Berganza , Matteo di Volo , Alessandro Vezzani , Raffaella Burioni

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

Synchronization and chaos are two well known and ubiquitous phenomena in nature. Interestingly, under specific conditions, coupled chaotic systems can display synchronization in some of their observables. Here, we experimentally investigate…

Chaotic Dynamics · Physics 2021-09-01 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

We have found stable chaotic solutions for optomechanical systems coupled with a Two-Level System or qubit. In this system methods have been found which can be used to Tune in and out of Chaos as well as various n-period motions. This…

Quantum Physics · Physics 2021-03-02 Manik Kapil , Amarendra K. Sarma

The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized…

Controlling entanglement and coherence is central to quantum information, yet the two resources often exhibit antagonistic trends and are difficult to optimize within a single platform. Here we show that chaos enables switchable eigenstate…

Quantum Physics · Physics 2025-12-23 Kyu-Won Park , Soojoon Lee , Kabgyun Jeong

How can precise control be realised in intrinsically noisy systems? Here, we develop a general theoretical framework that provides a way to achieve precise control in signal-dependent noisy environments. When the control signal has Poisson…

Optimization and Control · Mathematics 2015-06-15 Wenlian Lu , Jianfeng Feng , Shun-ichi Amari , David Waxman

There is evidence that biological systems, such as the brain, work at a critical regime robust to noise, and are therefore able to remain in it under perturbations. In this work, we address the question of robustness of critical systems to…

Cellular Automata and Lattice Gases · Physics 2022-09-14 Sidney Pontes-Filho , Pedro Lind , Stefano Nichele

We have shortly reviewed the occurrence of the post-synaptic potentials between neurons, the relation between EEG and neuron dynamics, as well as methods of signal analysis. We supposed a simple stochastic model representing electrical…

Statistical Mechanics · Physics 2007-05-23 Ekrem Aydiner , Adil M. Vural , Bekir Ozcelik , Kerim Kiymac , Uner Tan

Key features of biological activity can often be captured by transitions between a finite number of semi-stable states that correspond to behaviors or decisions. We present here a broad class of dynamical systems that are ideal for modeling…

Dynamical Systems · Mathematics 2022-12-14 Megan Morrison , Lai-Sang Young

Chaotic iterations, a tool formerly used in distributed computing, has recently revealed various interesting properties of disorder leading to its use in the computer science security field. In this paper, a comprehensive study of its…

Chaotic Dynamics · Physics 2016-08-23 Christophe Guyeux , Jacques M. Bahi