Results 41 to 50 of about 572 (127)
Classification of asynchronous elementary cellular automata (AECAs) was explored in the first place by Fates et al. (Complex Systems, 2004) who employed the asymptotic density of cells as a key metric to measure their robustness to stochastic transitions.
Qin Lei +3 more
doaj +1 more source
Beyond the streetlight: a TREAT‐AD perspective on where to find new Alzheimer's targets
Abstract Despite extensive investments in Alzheimer's disease (AD) therapeutic development, progress toward effective interventions remains modest. The landscape of potential novel therapeutic strategies is rapidly growing, but prioritization, validation, and tools to advance targets to trial are lagging.
Gregory A. Cary +3 more
wiley +1 more source
The relative variational principle by Ledrappier and Walters: A survey
Abstract Ledrappier and Walters's article “A Relativised Variational Principle for Continuous Transformations”, J. Lond. Math. Soc. (2) 16 (1977), no. 3, 568–576) is a landmark in the development of thermodynamic formalism. This survey, aimed at newcomers to the field and experts in adjacent fields discusses the background, the Ledrappier–Walters ...
Anthony Quas
wiley +1 more source
A new five-dimensional chaotic system with extreme multi-stability is introduced in this article. The mathematical model is established, and numerical simulations are done. This dynamical system complicates incident of extreme multi-stability.
Atefeh Ahmadi +5 more
doaj +1 more source
Category Theory for Autonomous and Networked Dynamical Systems
In this discussion paper we argue that category theory may play a useful role in formulating, and perhaps proving, results in ergodic theory, topogical dynamics and open systems theory (control theory). As examples, we show how to characterize Kolmogorov&
Jean-Charles Delvenne
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Relative Chaoticity of Natural Languages
This paper presents a novel approach to analyzing and grouping natural languages based on the degree of their chaoticity. It clusters 52 languages from 18 language families, according to the value of the entropy–complexity pair, to reveal the chaotic properties of semantic trajectories.
Assel S. Yerbolova +6 more
wiley +1 more source
Probing chaos in the spherical p-spin glass model
We study the dynamics of a quantum $p$-spin glass model starting from initial states defined in microcanonical shells, in a classical regime. We compute different chaos estimators, such as the Lyapunov exponent and the Kolmogorov-Sinai entropy, and find ...
Lorenzo Correale, Anatoli Polkovnikov, Marco Schirò, Alessandro Silva
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As the leading energy source, oil price volatility has crucial effects in energy markets, and geopolitical risks (GPRs) and economic policy uncertainties contribute to its volatility. Further, chaos, long‐range dependence, fractionality, and complexity significantly reduce modeling and forecast performances.
Özgür Ömer Ersin +2 more
wiley +1 more source
Abstract Although the concept of thermodynamic entropy due to Clausius dates back to the early 1850s, the mathematical theory of informational entropy was not developed until the pioneering work of Shannon in 1948, the development of principle of maximum entropy (POME) and theorem of concentration by Jaynes in 1957, principle of minimum cross entropy ...
Vijay P. Singh
wiley +1 more source
Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate h KS given by the sum of all positive Lyapunov exponents of the system.
Eugenio Bianchi +2 more
doaj +1 more source

