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We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest…

Chaotic Dynamics · Physics 2010-10-04 Justus T. C. Schwabedal , Arkady Pikovsky

We report an experimental study of the dynamics of an air-fluidized thin granular layer. Near-onset behavior of this shallow fluidized bed was described in the earlier paper (Tsimring et al, 1999). Above the threshold of fluidization the…

Pattern Formation and Solitons · Physics 2007-05-23 D. K. Clark , L. S. Tsimring , I. S. Aranson

The motion of the structure determining components is highly collective, both in amorphous solids and in undercooled liquids. This has been deduced from experimental low temperature data in the tunneling regime as well as from the vanishing…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. R. Schober

It has been shown that self-assembled chains of active colloidal particles can present sustained oscillations. These oscillations are possible because of the effective diffusiophoretic forces that mediate the interactions of colloids do not…

Soft Condensed Matter · Physics 2018-03-23 S. Gonzalez , R. Soto

According to mechanistic theories of working memory (WM), information is retained as persistent spiking activity of cortical neural networks. Yet, how this activity is related to changes in the oscillatory profile observed during WM tasks…

Neurons and Cognition · Quantitative Biology 2021-04-20 Nikita Novikov , Denis Zakharov , Victoria Moiseeva , Boris Gutkin

We analyze the noise induced synchronization between a collective variable characterizing a complex system with a finite number of interacting bistable units and time periodic driving forces. A random phase process associated to the…

Statistical Mechanics · Physics 2009-11-13 José M. Casado , José Gómez-Ordóñez , Manuel Morillo

While the stochastic dynamics of two coupled oscillators have been extensively studied, most of the research has focused on stochastic input with equal intensity. However, this is often not the case in biological systems. In this study, we…

Dynamical Systems · Mathematics 2023-03-02 Gurpreet Jagdev , Na Yu

We consider the effect of microscopic external noise on the collective motion of a globally coupled map in fully desynchronized states. Without the external noise a macroscopic variable shows high-dimensional chaos distinguishable from…

chao-dyn · Physics 2009-10-31 Tatsuo Shibata , Tsuyoshi Chawanya , Kunihiko Kaneko

We study the onset of collective oscillations at low temperature in a three-dimensional spin model with non-reciprocal short-range interactions. Performing numerical simulations of the model, the presence of a continuous phase transition to…

Statistical Mechanics · Physics 2026-02-03 Laura Guislain , Eric Bertin

The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-of-phase dipole oscillation frequency increasing slowly with…

Soft Condensed Matter · Physics 2007-05-23 Chi-Yong Lin , M. S. Hussein , A. F. R. de Toledo Piza , E. Timmermans

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

The brain can be understood as a collection of interacting neuronal oscillators, but the extent to which its sustained activity is due to coupling among brain areas is still unclear. Here we study the joint dynamics of two cortical columns…

Neurons and Cognition · Quantitative Biology 2018-01-17 Maciej Jedynak , Antonio J. Pons , Jordi Garcia-Ojalvo

We report and characterize the emergence of a noise-induced state of quenched disorder in a generic model describing a dense sheet of active polar disks with non-isotropic rotational and translational dynamics. In this state, randomly…

Soft Condensed Matter · Physics 2023-04-10 Guozheng Lin , Zhangang Han , Amir Shee , Cristián Huepe

The influence of small additive noise on structure formation near a forwards and near an inverted bifurcation as described by a cubic and quintic Ginzburg Landau amplitude equation, respectively, is studied numerically for group velocities…

Fluid Dynamics · Physics 2009-11-10 A. Szprynger , M. Luecke

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

We study a system of two-mode stochastic oscillators coupled through their collective output. As a function of a relevant parameter four qualitatively distinct regimes of collective behavior are observed. In an extended region of the…

Statistical Mechanics · Physics 2009-11-07 A. Nikitin , Z. Neda , T. Vicsek

Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various models with different underlying mechanisms have been…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Peter Borowski , Rachel Kuske , Yue-Xian Li , Juan Luis Cabrera

Collective action against algorithmic systems provides an opportunity for a small group of individuals to strategically manipulate their data to get specific outcomes, from classification to recommendation models. This effectiveness will…

Physics and Society · Physics 2025-11-20 Aditya Karan , Prabhat Kalle , Nicholas Vincent , Hari Sundaram

The dynamical control of energy transfer between interacting systems is fundamental in diverse applications related to physical, electronic and chemical processes. Recent developments show that noise may enhance or suppress power transfer…

Optics · Physics 2021-03-19 P. Bravo-Cassab , B. Jaramillo-Ávila , B. M. Rodríguez-Lara

We study the flocking and pattern formations of active particles with a Vicsek-like model that includes a configuration dependent noise term. In particular, we couple the strength of the noise with both the local density and orientation of…

Biological Physics · Physics 2017-02-09 Kosuke Matsui , John J. Molina
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