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Self organisation provides an elegant explanation for how complex structures emerge and persist throughout nature. Surprisingly often, these structures exhibit remarkably similar scale-invariant properties. While this is sometimes captured…

Quantum Gases · Physics 2020-06-25 S. Helmrich , A. Arias , G. Lochead , M. Buchhold , S. Diehl , S. Whitlock

With increasing complexity and heterogeneity of computing devices, it has become crucial for system to be autonomous, adaptive to dynamic environment, robust, flexible, and having so called self-*properties. These autonomous systems are…

Software Engineering · Computer Science 2018-10-01 Najma Gill

Although the paradigm of criticality is centred around spatial correlations and their anomalous scaling, not many studies of Self-Organised Criticality (SOC) focus on spatial correlations. Often, integrated observables, such as avalanche…

Statistical Mechanics · Physics 2017-08-01 Gary Willis , Gunnar Pruessner

Cellular automata (CA) dynamics are ordered in terms of two global parameters, computable {\sl a priori} from the description of rules. While one of them (activity) has been used before, the second one is new; it estimates the average…

adap-org · Physics 2009-10-22 P. -M. Binder

In this article I discuss the outcome of an exploratory research project based on complexity science concepts and theories; this research is focused on the Great Power war dynamics in the time period 1495 - 1945. According to this research,…

Adaptation and Self-Organizing Systems · Physics 2014-09-25 Ingo Piepers

Theoretical biology has long proposed that autonomous systems sustain their identity through reciprocal constraints between structure and activity, a dynamical regime underlying concepts such as closure to efficient causation and…

Physics and Society · Physics 2025-12-15 Anthony Gosme

The current study is motivated by some observations of highly nonlinear dynamical effects in biological auditory systems. We examine the hypothesis that one of the underlying mechanisms responsible for the observed nonlinearity is…

Chaotic Dynamics · Physics 2020-01-08 Eyal Buks

Cellular automata, CA for short are continuous maps defined on the set of configurations over a finite alphabet A that commutes with the shift. They are characterized by the existence of local function which determine by local behavior the…

Dynamical Systems · Mathematics 2019-04-30 Rezki Chemlal

It is shown that globally-coupled oscillators with pulse interaction can synchronize under broader conditions than widely believed from a theorem of Mirollo \& Strogatz \cite{MirolloII}. This behavior is stable against frozen disorder.…

Condensed Matter · Physics 2016-08-31 Samuele Bottani

We introduce a new Self-Organized Criticality (SOC) model for simulating price evolution in an artificial financial market, based on a multilayer network of traders. The model also implements, in a quite realistic way with respect to…

Trading and Market Microstructure · Quantitative Finance 2016-06-30 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

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

The Dendritic Cell Algorithm (DCA) is an immune-inspired algorithm, developed for the purpose of anomaly detection. The algorithm performs multi-sensor data fusion and correlation which results in a 'context aware' detection system.…

Artificial Intelligence · Computer Science 2010-07-05 Julie Greensmith , Jan Feyereisl , Uwe Aickelin

This manuscript presents an algorithm for individual Lithium-ion (Li-ion) battery cell state of charge (SOC) estimation when multiple cells are connected in parallel, using only terminal voltage and total current measurements. For battery…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Dong Zhang , Luis D. Couto , Sebastien Benjamin , Wente Zeng , Daniel F. Coutinho , Scott J. Moura

Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of…

Formal Languages and Automata Theory · Computer Science 2024-01-17 Kamalika Bhattacharjee , Nazma Naskar , Souvik Roy , Sukanta Das

I review the concept of self-organized criticality, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and time scales. Several exact results are…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

This manuscript presents an algorithm for individual Lithium-ion (Li-ion) battery cell state of charge (SOC) estimation in a large-scale battery pack under minimal sensing, where only pack-level voltage and current are measured. For battery…

Systems and Control · Electrical Eng. & Systems 2021-09-20 Dong Zhang , Luis D. Couto , Ross Drummond , Shashank Sripad , Venkatasubramanian Viswanathan

It has been proposed that adaptation in complex systems is optimized at the critical boundary between ordered and disordered dynamical regimes. Here, we review models of evolving dynamical networks that lead to self-organization of network…

Adaptation and Self-Organizing Systems · Physics 2008-11-07 Thimo Rohlf , Stefan Bornholdt

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Statistical Mechanics · Physics 2014-07-25 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Miguel A. Munoz , Jayanth R. Banavar , Amos Maritan

In a probabilistic cellular automaton in which all local transitions have positive probability, the problem of keeping a bit of information indefinitely is nontrivial, even in an infinite automaton. Still, there is a solution in 2…

Probability · Mathematics 2024-01-26 Peter Gacs

The spatial structure, fluctuations as well as all state probabilities of self-organized (steady) states of cellular automata can be found (almost) exactly and {\em explicitly} from their Markovian dynamics. The method is shown on an…

Statistical Mechanics · Physics 2016-08-31 M. V. Medvedev , P. H. Diamond