Results 21 to 30 of about 665,028 (290)
The topological entropy of iterated piecewise affine maps is uncomputable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We show that it is impossible to compute (or even to approximate) the topological entropy of a continuous piecewise affine function in dimension four. The same result holds for saturated linear functions in unbounded dimension.
Pascal Koiran
doaj +2 more sources
A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
Open Mathematics, 2022 This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
doaj +1 more source
The minimal entropy problem for 3-manifolds with zero simplicial volume [PDF]
, 2003 In this note, we consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal (topological) entropy, for certain classes of closed 3 ...
Anderson, J.W. +3 more
core +2 more sources
Topological entropy for impulsive differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A positive topological entropy is examined for impulsive differential equations via the associated Poincaré translation operators on compact subsets of Euclidean spaces and, in particular, on tori.
Jan Andres
doaj +1 more source
Topological Entropy and Secondary Folding [PDF]
Journal of Nonlinear Science, 2012 13 pages, 8 figures.
Sarah Tumasz, Jean-Luc Thiffeault
openaire +2 more sources
Entropy, 2018 In this paper we consider the metric entropies of the maps of an iterated function system deduced from a black hole which are known the Bekenstein–Hawking entropies and its subleading corrections.
Christian Corda +3 more
doaj +1 more source
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
Entropy of foliations with leafwise Finsler structure [PDF]
Opuscula Mathematica, 2016 We extend the notion of the geometric entropy of foliation to foliated manifolds equipped with leafwise Finsler structure. We study the relation between the geometric entropy and the topological entropy of the holonomy pseudogroup. The case of a foliated
Ilona Michalik, Szymon Walczak
doaj +1 more source
Entropy increase in switching systems [PDF]
, 2013 The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Giménez, Ángel +7 more
core +1 more source
Milnor’s Conjecture on Monotonicity of Topological Entropy: results and questions [PDF]
, 2014 02.08.13 KB. Author has recieved permission from publisher to add the submitted version to Spiral.This note discusses Milnor’s conjecture on monotonicity of entropy and gives a short exposition of the ideas used in its proof which was obtained in joint ...
van Strien, S, Sebastian van Strien
core +1 more source