Results 51 to 60 of about 622 (159)
The relative variational principle by Ledrappier and Walters: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.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
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Kolmogorov-Sinai entropy of many-body Hamiltonian systems
Physical Review E, 2011 The Kolmogorov-Sinai (KS) entropy is a central measure of complexity and chaos. Its calculation for many-body systems is an interesting and important challenge. In this paper, the evaluation is formulated by considering N-dimensional symplectic maps and deriving a transfer matrix formalism for the stability problem.
Arul, Lakshminarayan, Steven, Tomsovic
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Advances in Mechanical Engineering, 2019 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
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Category Theory for Autonomous and Networked Dynamical Systems
Entropy, 2019 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
Complexity, Volume 2026, Issue 1, 2026.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
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Kolmogorov-Sinai Entropy of the Ising Model [PDF]
Progress of Theoretical Physics, 1991 The Kolmogorov Sinai entropy of the Ising model is calculated with a coupled map lattice model. The KS entropy indicates a mixing rate in the equilibrium state.
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Probing chaos in the spherical p-spin glass model
SciPost Physics, 2023 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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International Journal of Energy Research, Volume 2026, Issue 1, 2026.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
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Perspectives of Earth and Space Scientists, Volume 6, Issue 1, December 2025.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
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Journal of Experimental Zoology Part A: Ecological and Integrative Physiology, Volume 343, Issue 8, Page 857-869, October 2025.ABSTRACT Microplastics (MPs) are of increasing global concern for species inhabiting aquatic habitats. However, the mechanisms behind animal responses to MPs still require comprehensive exploration. Amphibians are the most threatened vertebrate group with most species having a complex life cycle, commonly with an aquatic larval stage.
Colette Martin +3 more
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