Results 31 to 40 of about 928,980 (320)
Entropy, 2004 : A concept of entropy production associated with continuous topological evolution is deduced (without statistics) from the fact that Cartan-Hilbert 1-form of Action defines a non-equilibrium symplectic system of Pfaff Topological dimension 2n+2.
Robert M. Kiehn
doaj +1 more source
Scale function vs Topological entropy [PDF]
, 2013 In the realm of topological automorphisms of totally disconnected locally compact groups, the scale function introduced by Willis in \cite{Willis} is compared with the topological entropy.
Berlai, Federico +2 more
core +2 more sources
Stable sets and mean Li-Yorke chaos in positive entropy systems [PDF]
, 2014 It is shown that in a topological dynamical system with positive entropy, there is a measure-theoretically "rather big" set such that a multivariant version of mean Li-Yorke chaos happens on the closure of the stable or unstable set of any point from the
Huang, Wen, Li, Jian, Ye, Xiangdong
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Ensemble-based topological entropy calculation (E-tec). [PDF]
Chaos, 2018 Topological entropy measures the number of distinguishable orbits in a dynamical system, thereby quantifying the complexity of chaotic dynamics. One approach to computing topological entropy in a two-dimensional space is to analyze the collective motion ...
Eric Roberts +3 more
semanticscholar +1 more source
Topological entropy of free semigroup actions for noncompact sets
Discrete and Continuous Dynamical Systems. Series A, 2019 In this paper we introduce the topological entropy and lower and upper capacity topological entropies of a free semigroup action, which extends the notion of the topological entropy of a free semigroup action defined by Bufetov [ 10 ], by using the ...
Yujun Ju, Dongkui Ma, Yupan Wang
semanticscholar +1 more source
Topological entropy for discontinuous semiflows [PDF]
Journal of Differential Equations, 2018 We study two variations of Bowen's definitions of topological entropy based on separated and spanning sets which can be applied to the study of discontinuous semiflows on compact metric spaces.
Nelda Jaque, B. San MartÃn
semanticscholar +1 more source
Bowen topological entropy of subsets for amenable group actions
Journal of Mathematical Analysis and Applications, 2019 We extend the definition of Bowen topological entropy of subsets to continuous action of amenable groups on a compact metrizable space. We investigate how Bowen topological entropy behaves for restricted actions of finite-index subgroups and verify the ...
Xiaojun Huang, Jinsong Liu, C. Zhu
semanticscholar +1 more source
On topological entropy and stability of switched linear systems
International Conference on Hybrid Systems: Computation and Control, 2019 This paper studies topological entropy and stability properties of switched linear systems. First, we show that the exponential growth rates of solutions of a switched linear system are essentially upper bounded by its topological entropy.
Guosong Yang, J. Hespanha, D. Liberzon
semanticscholar +1 more source
Topological entropy on closed sets in [0,1] 2 [PDF]
Topology and its Applications, 2017 We generalize the definition of topological entropy due to Adler, Konheim, and McAndrew [1] to set-valued functions from a closed subset A of the interval to closed subsets of the interval.
G. Erceg, J. Kennedy
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Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions [PDF]
Journal of High Energy Physics, 2020 Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles in arbitrary ...
D. Anninos +3 more
semanticscholar +1 more source