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A close relation has recently emerged between two of the most fundamental concepts in physics and mathematics: chaos and supersymmetry. In striking contrast to the semantics of the word 'chaos,' the true physical essence of this phenomenon…

Chaotic Dynamics · Physics 2025-03-24 Igor V. Ovchinnikov

During slow-wave sleep, the brain is in a self-organized regime in which slow oscillations (SOs) between up- and down-states travel across the cortex. While an isolated piece of cortex can produce SOs, the brain-wide propagation of these…

Neurons and Cognition · Quantitative Biology 2021-11-02 Caglar Cakan , Cristiana Dimulescu , Liliia Khakimova , Daniela Obst , Agnes Flöel , Klaus Obermayer

Disordered systems subject to a fluctuating environment can self-organize into a complex history-dependent response, retaining a memory of the driving. In sheared amorphous solids, self-organization is established by the emergence of a…

Soft Condensed Matter · Physics 2026-01-08 Muhittin Mungan , Eric Clement , Damien Vandembroucq , Srikanth Sastry

Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

Mammalian brains span about 4 orders of magnitude in cortical volume and have to operate in different environments that require diverse behavioral skills. Despite these geometric and behavioral diversities, the examination of cerebral…

Neurons and Cognition · Quantitative Biology 2014-05-19 Jan Karbowski

Based on the LISSOM model and the OFC earthquake model, we introduce a self-organized feature map Neural Network model . It displays a "Self Organized Criticality"(SOC) behavior. It can be seen that the feature area (synchronized area)…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Xiao Wei Zhao , Tian Lun Chen

The underlying physical concept of computing out-of-time-ordered correlation (OTOC) is a significant new tool within the framework of quantum field theory, which now-a-days is treated as a measure of random fluctuations. In this paper, by…

General Physics · Physics 2021-06-03 Sayantan Choudhury

Brain oscillations exhibit long-range temporal correlations (LRTCs), which reflect the regularity of their fluctuations: low values representing more random (decorrelated) while high values more persistent (correlated) dynamics. LRTCs…

Neurons and Cognition · Quantitative Biology 2018-02-05 Tomas Ros , Paul Frewen , Jean Theberge , Rosemarie Kluetsch , Andreas Mueller , Gian Candrian , Rakesh Jetly , Patrik Vuilleumier , Ruth Lanius

Closed-loop neurotechnology requires the capability to predict the state evolution and its regulation under (possibly) partial measurements. There is evidence that neurophysiological dynamics can be modeled by fractional-order dynamical…

Optimization and Control · Mathematics 2019-03-05 Sarthak Chatterjee , Orlando Romero , Sérgio Pequito

A minimal model for self-organized critical percolation on directed graphs with activating and de-activating links is studied. Unlike classical self-organized criticality, the variables that determine criticality are separated from the…

Statistical Mechanics · Physics 2007-05-23 Christel Kamp , Stefan Bornholdt

We report some numerical simulations to investigate the existence of a self-organized critical (SOC) state in a random-neighbor version of the OFC model for a range of parameters corresponding to a non-conservative case. In contrast to a…

adap-org · Physics 2015-06-24 S. T. R. Pinho , C. P. C. Prado , O. Kinouchi

Stationarity of the constituents of the body and of its functionalities is a basic requirement for life, being equivalent to survival in first place. Assuming that the resting state activity of the brain serves essential functionalities,…

Neurons and Cognition · Quantitative Biology 2021-05-14 Claudius Gros

We discuss mean-field theories for self-organized criticality and the connection with the general theory of branching processes. We point out that the nature of the self-organization is not addressed properly by the previously proposed…

Condensed Matter · Physics 2009-10-28 Stefano Zapperi , Kent Baekgaard Lauritsen , H. Eugene Stanley

The totally asymmetric simple exclusion process (TASEP) is a paradigmatic stochastic model for non-equilibrium physics, and has been successfully applied to describe active transport of molecular motors along cytoskeletal filaments.…

Biological Physics · Physics 2018-07-25 Mareike Bojer , Isabella R. Graf , Erwin Frey

We discuss recent results on a new analysis regarding models showing Self-Organized Criticality (SOC), and in particular on the OFC one. We show that Probability Density Functions (PDFs) for the avalanche size differences at different times…

Geophysics · Physics 2009-11-13 F. Caruso , A. Pluchino , V. Latora , A. Rapisarda , S. Vinciguerra

The basic laws of physics are simple, so why is the world complex? The theory of self-organized criticality posits that complex behavior in nature emerges from the dynamics of extended, dissipative systems that evolve through a sequence of…

Statistical Mechanics · Physics 2007-05-23 Maya Paczuski , Per Bak

Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been…

Quantum Physics · Physics 2022-03-23 Berislav Buca , Cameron Booker , Dieter Jaksch

This work considers to achieve near-optimal operation for a class of batch processes by employing self-optimizing control (SOC). Comparing with a continuous one, a batch process exhibits stronger nonlinearity with dynamics because of the…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Hongxin Su , Xinhui Tang , Yi Cao , Shuang-hua Yang

Inspired by spiking neural feedback, we propose a spiking controller for efficient locomotion in a soft robotic crawler. Its bistability, akin to neural fast positive feedback, combined with a sensorimotor slow negative feedback loop,…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Juncal Arbelaiz , Alessio Franci , Naomi Ehrich Leonard , Rodolphe Sepulchre , Bassam Bamieh

The modification of the model of P.Bak and K.Sneppen of the self-organized biological evolution is proposed on the basis of a formalization of the scheme of the biosphere evolution suggested by O.V.Kovalev. This scheme is regarded as one…

Condensed Matter · Physics 2008-02-03 O. V. Kovalev , Yu. M. Pis'mak , V. V. Vechernin