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Traditionally, physical models of associative memory assume conditions of equilibrium. Here, we consider a prototypical oscillator model of associative memory and study how active noise sources that drive the system out of equilibrium, as…

Disordered Systems and Neural Networks · Physics 2023-07-26 Matthew Du , Agnish Kumar Behera , Suriyanarayanan Vaikuntanathan

Active colloids constitute a novel class of materials composed of colloidal-scale particles locally converting chemical energy into motility, mimicking micro-organisms. Evolving far from equilibrium, these systems display structural…

We investigate the collective oscillations of a Bose condensate in an anisotropic harmonic trap. We analytically calculate the values of the trap deformation for which the normal modes are in resonance. In presence of low-order resonances,…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

In non-linear dynamics there are several model systems to study oscillations. One iconic example is the "Brusselator", which describes the dynamics of the concentration of two chemical species in the non-equilibrium phase. In this work we…

Statistical Mechanics · Physics 2014-05-05 Nicolás Rubido

In this article, we present a systematic study of the critical behavior of phase oscillators with multiplicative noise from a thermodynamic equilibrium approach. We have already presented the thermodynamics of phase noise oscillators and…

Statistical Mechanics · Physics 2017-05-24 Pedro D. Pinto , Fernando A. Oliveira , André L. A. Penna

A variety of living and non-living systems exhibit collective motion. From swarm robotics to bacterial swarms, and tissue wound healing to human crowds, examples of collective motion are highly diverse but all of them share the common…

Biological Physics · Physics 2023-07-12 Jonathan E. Dawson , Abdul N. Malmi-Kakkada

We study numerically and analytically first- and second-order phase transitions in neuronal networks stimulated by shot noise (a flow of random spikes bombarding neurons). Using an exactly solvable cortical model of neuronal networks on…

Neurons and Cognition · Quantitative Biology 2015-08-25 K. -E. Lee , M. A. Lopes , J. F. F. Mendes , A. V. Goltsev

We present the simplest discrete model to date that leads to synchronization of stochastic phase-coupled oscillators. In the mean field limit, the model exhibits a Hopf bifurcation and global oscillatory behavior as coupling crosses a…

Statistical Mechanics · Physics 2009-11-11 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

We present a numerical study of the phase behavior of repulsively interacting active polar particles that align their active velocities nematically. The amplitude of the active velocity, and the noise in its orientational alignment control…

Soft Condensed Matter · Physics 2019-11-01 Biplab Bhattacherjee , Debasish Chaudhuri

An important characteristic of flocks of birds, school of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added…

Statistical Mechanics · Physics 2015-01-19 M. Aldana , V. Dossetti , C. Huepe , V. M. Kenkre , H. Larralde

We study the relationship between dynamical properties and interaction patterns in complex oscillator networks in the presence of noise. A striking finding is that noise leads to a general, one-to-one correspondence between the dynamical…

Data Analysis, Statistics and Probability · Physics 2010-02-05 Jie Ren , Wen-Xu Wang , Baowen Li , Ying-Cheng Lai

Complex coherent dynamics is present in a wide variety of neural systems. A typical example is the voltage transitions between up and down states observed in cortical areas in the brain. In this work, we study this phenomenon via a…

Neurons and Cognition · Quantitative Biology 2015-05-19 Jorge F. Mejias , Hilbert J. Kappen , Joaquin J. Torres

Emergent nonreciprocity in active matter drives the formation of self-organized states that transcend the behaviors of equilibrium systems. Integrating experiments, theory and simulations, we demonstrate that active solids composed of…

Noise threads every scale of the natural world. Once dismissed as mere background hiss, it is now recognized as both a currency of information and a source of order in systems driven far from equilibrium. From nanometer-scale motor proteins…

Soft Condensed Matter · Physics 2025-08-25 Atanu Chatterjee , Tuhin Chakrabortty , Saad Bhamla

Interactions between active individuals in animal collectives lead to emergent responses that remain elusive in synthetic soft matter. Here, shape-morphing polymers are used to create bio-inspired transient solids that self-assemble with…

Topological defects are fundamental to the collective dynamics of non-equilibrium systems and in active matter, mediating spontaneous flows, dynamic self-organization, and emergent pattern formation. Here, we reveal critical states in…

We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to…

Pattern Formation and Solitons · Physics 2015-04-22 Zachary P. Kilpatrick

We demonstrate that nonlocally coupled limit-cycle oscillators subject to spatiotemporally white Gaussian noise can exhibit a noise-induced transition to turbulent states. After illustrating noise-induced turbulent states with numerical…

Chaotic Dynamics · Physics 2007-05-23 Yoji Kawamura , Hiroya Nakao , Yoshiki Kuramoto

We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically…

Statistical Mechanics · Physics 2007-05-23 B. Naundorf , T. Prager , L. Schimansky-Geier

Chemical communication, response, and feedback are key requirements for the function of adaptive materials with life-like properties. However, how communication on the single cell-level impacts the collective structural, dynamical and…

Soft Condensed Matter · Physics 2025-09-22 Nils Göth , Joachim Dzubiella
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