English
Related papers

Related papers: System size coherence resonance

200 papers

Coherent resonance is the effect of resonant excitation of nonlinear coherent modes in trapped Bose condensates. This novel effect is shown to be feasible for Bose-condensed trapped gases. Conditions for realizing this effect are derived. A…

Soft Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We examine an exactly solvable model of decoherence - a spin-system interacting with a collection of environment spins. We show that in this model (introduced some time ago to illustrate environment-induced superselection) generic…

Quantum Physics · Physics 2013-05-29 W. H. Zurek , F. M. Cucchietti , J. P. Paz

We examine the response of type II excitable neurons to trains of synaptic pulses, as a function of the pulse frequency and amplitude. We show that the resonant behavior characteristic of type II excitability, already described for harmonic…

Neurons and Cognition · Quantitative Biology 2015-06-26 Pablo Balenzuela , Javier M. Buldu , Marcos Casanova , Jordi Garcia-Ojalvo

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in…

Chaotic Dynamics · Physics 2007-05-23 Bambi Hu , Changsong Zhou

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of excitable systems in the presence of noise. This phenomenon is distinct from classical chimeras, which occur in deterministic oscillatory systems, and it…

Adaptation and Self-Organizing Systems · Physics 2016-07-06 Nadezhda Semenova , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

We explore the influence of a block of excitable units on the existence and behavior of chimera states in a nonlocally coupled ring-network of FitzHugh-Nagumo elements. The FitzHugh-Nagumo system, a paradigmatic model in many fields from…

Pattern Formation and Solitons · Physics 2016-03-02 Thomas Isele , Johanne Hizanidis , Astero Provata , Philipp Hövel

We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons have on the collective response of the system to an external signal. We have considered two different interaction scenarios,…

Biological Physics · Physics 2010-03-31 T. Perez , C. R. Mirasso , R. Toral , J. D. Gunton

In this paper, we prove the existences of pullback attractors in $L^{p}(\mathbb{R}^N)\times L^{2}(\mathbb{R}^N)$ for stochastic Fitzhugh-Nagumo system driven by both additive noises and deterministic non-autonomous forcings. The…

Analysis of PDEs · Mathematics 2015-04-28 Wenqiang Zhao

We study the effects of noise on the collective dynamics of an ensemble of coupled phase oscillators whose natural frequencies are all identical, but whose coupling strengths are not the same all over the ensemble. The intensity of noise…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Damian H. Zanette

We study the phenomenological model of ensemble of two FitzHugh-Nagumo neuron-like elements with symmetric excitatory couplings. The main advantage of proposed model is the new approach to model of coupling which is implemented by smooth…

Dynamical Systems · Mathematics 2018-12-05 Alexander G. Korotkov , Alexey O. Kazakov , Tatiana A. Levanova , Grigory V. Osipov

The scaling of the number of Rydberg excitations in a laser-driven cloud of atoms with the interaction strength is found to be affected by the finite size of the system. The scaling predicted by a theoretical model is compared with results…

Atomic Physics · Physics 2013-10-16 M. Gärttner , K. P. Heeg , T. Gasenzer , J. Evers

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

Noise mechanisms in quantum systems can be broadly characterized as either coherent (i.e., unitary) or incoherent. For a given fixed average error rate, coherent noise mechanisms will generally lead to a larger worst-case error than…

Quantum Physics · Physics 2019-01-29 Joel J. Wallman , Christopher Granade , Robin Harper , Steven T. Flammia

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

We discuss synchronization patterns in networks of FitzHugh-Nagumo and Leaky Integrate-and-Fire oscillators coupled in a two-dimensional toroidal geometry. Common feature between the two models is the presence of fast and slow dynamics, a…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Alexander Schmidt , Theodoros Kasimatis , Johanne Hizanidis , Astero Provata , Philipp Hövel

We analyze several aspects of the phenomenon of stochastic resonance in reaction-diffusion systems, exploiting the nonequilibrium potential's framework. The generalization of this formalism (sketched in the appendix) to extended systems is…

Statistical Mechanics · Physics 2016-08-14 Horacio S. Wio , Roberto R. Deza

We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information theoretic measures of the system's response that exhibit a non-monotonic behaviour as a function of the noise strength.…

Quantum Physics · Physics 2013-05-29 Susana Huelga , Martin Plenio

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

We carry out an analytical theory of generation-recombination noise for a two level resistor model which goes beyond those presently available by including the effects of both space charge fluctuations and diffusion current. Finite size…

Statistical Mechanics · Physics 2009-11-07 G. Gomila , L. Reggiani

We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist. The addition of small noise induces mixed-mode oscillations (MMOs) in the vicinity…

Dynamical Systems · Mathematics 2015-05-20 David J. W. Simpson , Rachel Kuske
‹ Prev 1 3 4 5 6 7 10 Next ›