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We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for…

Computational Physics · Physics 2012-02-15 Alexander Rothkegel , Klaus Lehnertz

Coherent, large scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. Here, we introduce and explore an analytically tractable nonlinear model for…

Biological Physics · Physics 2017-07-19 Aden Forrow , Francis G. Woodhouse , Jörn Dunkel

Natural animal behavior displays rich lexical and temporal dynamics, even in a stable environment. This implies that behavioral variability arises from sources within the brain, but the origin and mechanics of these processes remain largely…

Neurons and Cognition · Quantitative Biology 2020-01-28 Stefano Recanatesi , Ulises Pereira , Masayoshi Murakami , Zachary Mainen , Luca Mazzucato

Turing patterns formed by activator-inhibitor systems on networks are considered. The linear stability analysis shows that the Turing instability generally occurs when the inhibitor diffuses sufficiently faster than the activator. Numerical…

Pattern Formation and Solitons · Physics 2010-04-29 Hiroya Nakao , Alexander S. Mikhailov

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

Non-equilibrium systems display memory, a dependence not merely on their present environment but on previously applied fields. Multistable systems such as spin glasses, martensites and granular matter have exponentially many microstates…

Statistical Mechanics · Physics 2026-05-25 Nathaniel Croce , Hossein Salahshoor , D. Zeb Rocklin

Hysteresis is a ubiquitous phenomenon in science and engineering; its modeling and identification are crucial for understanding and optimizing the behavior of various systems. We develop an ordinary differential equation-based recurrent…

There are essential achievements in synthesis of interesting for creation of compact electronic memory switched by own current structures of spin valves and magnetic tunnel junctions with hysteretic current dependences of resistance. In the…

Materials Science · Physics 2013-08-07 E. S. Demidov

We suggest a realization of a bistable non-volatile memory capacitor (memcapacitor). Its design utilizes a strained elastic membrane as a plate of a parallel-plate capacitor. The applied stress generates low and high capacitance…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 J. Martinez-Rincon , Y. V. Pershin

The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

Hysterons are elementary units of hysteresis that underlie many complex behaviors of non-equilibrium matter. Because models of interacting hysterons can describe disordered matter, this suggests that artificial systems could respond to…

Soft Condensed Matter · Physics 2026-04-07 Joseph D. Paulsen

Vibration-based flow energy harvesting enables robust, in-situ energy extraction for low-power applications, such as distributed sensor networks. Fluid-structure instabilities dictate a harvester's viability since the structural response to…

Fluid Dynamics · Physics 2021-04-07 L. P. Tosi , B. Dorschner , T. Colonius

Artificial neural networks (ANNs), which are inspired by the brain, are a central pillar in the ongoing breakthrough in artificial intelligence. In recent years, researchers have examined mechanical implementations of ANNs, denoted as…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Eran Ben-Haim , Sefi Givli , Yizhar Or , Amir Gat

This work addresses multistationarity of fully open reaction networks equipped with mass action kinetics. We improve upon the existing results relating existence of positive feedback loops in a reaction network and multistationarity; and we…

Molecular Networks · Quantitative Biology 2025-11-11 Shenghao Yao , AmirHosein Sadeghimanesh , Matthew England

Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a…

Physics and Society · Physics 2022-05-27 Hillel Sanhedrai , Shlomo Havlin

Turn-taking behaviour is simulated in a coupled agents system. Each agent is modelled as a mobile robot with two wheels. A recurrent neural network is used to produce the motor outputs and to hold the internal dynamics. Agents are developed…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroyuki Iizuka , Takashi Ikegami

Habituation - a phenomenon in which a dynamical system exhibits a diminishing response to repeated stimulations that eventually recovers when the stimulus is withheld - is universally observed in living systems from animals to unicellular…

Adaptation and Self-Organizing Systems · Physics 2024-07-26 Matthew Smart , Stanislav Y. Shvartsman , Martin Mönnigmann

The recent finding of collective actuation in active solids, namely solids embedded with active units, opens the path towards multifunctional materials with genuine autonomy. In such systems, collective dynamics emerge spontaneously and…

Soft Condensed Matter · Physics 2023-02-17 Paul Baconnier , Dor Shohat , Olivier Dauchot

Nonequilibrium transport properties are determined exactly for an adiabatically connected single channel quantum wire containing one impurity. Employing the Luttinger liquid model with interaction parameter $g$, for very strong interactions…

Condensed Matter · Physics 2009-10-31 R. Egger , H. Grabert , A. Koutouza , H. Saleur , F. Siano

We study a disordered network of bistable bonds subjected to periodic strain. The model is inspired by experiments on crumpled sheets and it features behaviors associated with glasses, including a complex energy landscape, memories, and…

Soft Condensed Matter · Physics 2025-07-18 Sheng Huang , Daniel Hexner