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Chaos provides many interesting properties that can be used to achieve computational tasks. Such properties are sensitivity to initial conditions, space filling, control and synchronization. Chaotic neural models have been devised to…

Neural and Evolutionary Computing · Computer Science 2015-01-12 M. Alhawarat , T. Olde Scheper , N. T. Crook

Chaotic behavior of quantum systems can be characterized by the adherence of the expectation values of given probes to moments of the Haar distribution. In this work, we analyze the behavior of several probes of chaos using a technique…

Quantum Physics · Physics 2026-04-14 Stefano Cusumano , Gianluca Esposito , Alioscia Hamma

Firing patterns in the central nervous system often exhibit strong temporal irregularity and heterogeneity in their time averaged response properties. Previous studies suggested that these properties are outcome of an intrinsic chaotic…

Disordered Systems and Neural Networks · Physics 2015-11-25 Jonathan Kadmon , Haim Sompolinsky

Hair cells actively drive oscillations of their mechanosensitive organelles--the hair bundles that enable hearing and balance sensing in vertebrates. Why and how some hair cells expend energy by sustaining this oscillatory motion in order…

Statistical Mechanics · Physics 2026-04-02 Yanathip Thipmaungprom , Laila Saliekh , Rodrigo Alonso , Édgar Roldán , Florian Berger , Roman Belousov

Chaotic synchronization performs poorly in noisy environments, with the main drawback being that the coherent receiver cannot be implemented in realistic communication channels. In this paper, we focus our study on a promising communication…

Information Theory · Computer Science 2013-02-18 Georges Kaddoum , Francois Gagnon , Denis Couillard

We investigate dynamical changes and its corresponding phase space complexity in a stochastic red blood cell system. The system is obtained by incorporating power noise with the associated sinusoidal flow. Both chaotic and non-chaotic…

Chaotic Dynamics · Physics 2021-04-28 Bo Yan , Sayan Mukherjee , Asit Saha

The dynamics of an extremely diluted neural network with high order synapses acting as corrections to the Hopfield model is investigated. As in the fully connected case, the high order terms may strongly improve the storage capacity of the…

Condensed Matter · Physics 2009-10-22 N. Lemke , J. J. Arenzon , F. A. Tamarit

Some biological systems operate at the critical point between stability and instability and this requires a fine-tuning of parameters. We bring together two examples from the literature that illustrate this: neural integration in the…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau , Eduardo Sontag

We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when the perturbation frequency lies in the logarithmically small…

Chaotic Dynamics · Physics 2015-05-13 S. M. Soskin , R. Mannella , O. M. Yevtushenko , I. A. Khovanov , P. V. E. McClintock

In neural circuits, statistical connectivity rules strongly depend on neuronal type. Here we study dynamics of neural networks with cell-type specific connectivity by extending the dynamic mean field method, and find that these networks…

Neurons and Cognition · Quantitative Biology 2015-02-24 Johnatan Aljadeff , Merav Stern , Tatyana O. Sharpee

The study of experimental data is a relevant task in several physical, chemical and biological applications. In particular, the analysis of chaotic dynamics in cardiac systems is crucial as it can be related to some pathological…

In this paper the chaotic properties of the TCP congestion avoidance mechanism are investigated. The analysis focuses on the origin of the complex behavior appearing in deterministic TCP/IP networks. From the traffic modeling point of view…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Fekete , M. Marodi , G. Vattay

A sensor was developed to quantitatively measure perturbations which change the volume of a wave chaotic cavity while leaving its shape intact. The sensors work in the time domain by using either scattering fidelity of the transmitted…

A walker is the association of a sub-millimetric bouncing drop moving along with a co-evolving Faraday wave. When confined in a harmonic potential, its stable trajectories are periodic and quantised both in extension and mean angular…

Fluid Dynamics · Physics 2018-11-06 S. Perrard , M. Labousse

It has been proposed that neural noise in the cortex arises from chaotic dynamics in the balanced state: in this model of cortical dynamics, the excitatory and inhibitory inputs to each neuron approximately cancel, and activity is driven by…

Disordered Systems and Neural Networks · Physics 2017-04-28 Nimrod Shaham , Yoram Burak

Recent research has provided a wealth of evidence highlighting the pivotal role of high-order interdependencies in supporting the information-processing capabilities of distributed complex systems. These findings may suggest that high-order…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Patricio Orio , Pedro A. M. Mediano , Fernando E. Rosas

Approximation of a continuous dynamics by discrete dynamics in the form of Poincare map is one of the fascinating mathematical tool, which can describe the approximate behaviour of the dynamics of the dynamical system in lesser dimension…

Neurons and Cognition · Quantitative Biology 2014-09-30 Sayan Mukherjee , Sanjay Kumar Palit , D. K. Bhattacharya

Chaos presents complex dynamics arising from nonlinearity and a sensitivity to initial states. These characteristics suggest a depth of expressivity that underscores their potential for advanced computational applications. However,…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shuhong Liu , Nozomi Akashi , Qingyao Huang , Yasuo Kuniyoshi , Kohei Nakajima

We studied neural automata -or neurobiologically inspired cellular automata- which exhibits chaotic itinerancy among the different stored patterns or memories. This is a consequence of activity-dependent synaptic fluctuations, which…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. M. Cortes , J. Marro , J. J. Torres

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha