Results 11 to 20 of about 540 (41)
Chaos in Duopoly Games via Furstenberg Family Couple
Complexity, 2019 Assume that H1 and H2 are two given closed subintervals of ℝ and that f2:H1⟶H2 and f1:H2⟶H1 are continuous maps. Let ϒh1,h2=f1h2,f2h1 be a Cournot map over the space H1×H2. In this paper, we study G1,G2-chaos (resp.
Yu Zhao, Risong Li
doaj +2 more sources
On multi-transitivity with respect to a vector [PDF]
, 2014 A topological dynamical system $(X,f)$ is said to be multi-transitive if for every $n\in\mathbb{N}$ the system $(X^{n}, f\times f^{2}\times \dotsb\times f^{n})$ is transitive.
Chen, Zhijing, Li, Jian, Lü, Jie
core +1 more source
Relative Nielsen Numbers, Braids and Periodic Segments
Advanced Nonlinear Studies, 2017 The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
doaj +1 more source
Twisted Alexander Polynomials and Representation Shifts
, 2007 For any knot, the following are equivalent. (1) The infinite cyclic cover has uncountably many finite covers; (2) there exists a finite-image representation of the knot group for which the twisted Alexander polynomial vanishes; (3) the knot group admits ...
Silver, Daniel S., Williams, Susan G.
core +1 more source
Convergence of the barycentre of measures from Fuchsian action groups [PDF]
, 2013 We prove the pointwise ergodic convergence of the sequence of barycentres of empirical measures which are defined from the action of Fuchsian groups and by maps valuated in CAT(0)−spaces.
Meson, Alejandro Mario +1 more
core +2 more sources
Computations on Sofic S-gap Shifts
, 2011 Let $S=\{s_{n}\}$ be an increasing finite or infinite subset of $\mathbb N \bigcup \{0\}$ and $X(S)$ the $S$-gap shift associated to $S$. Let $f_{S}(x)=1-\sum\frac{1}{x^{s_{n}+1}}$ be the entropy function which will be vanished at $2^{h(X(S))}$ where $h ...
C Spandl +7 more
core +1 more source
Iteration problem for distributional chaos
, 2016 We disprove the conjecture that distributional chaos of type 3 (briefly, DC3) is iteration invariant and show that a slightly strengthened definition, denoted by DC2$\frac{1}{2}$, is preserved under iteration, i.e.
Hantáková, Jana
core +1 more source
Noncommutative topological entropy of endomorphisms of Cuntz algebras II [PDF]
, 2010 A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with Joachim Zacharias is continued and extended to endomorphisms which are not necessarily of permutation type.
Skalski, Adam
core
Omega-limit sets and invariant chaos in dimension one
, 2015 Omega-limit sets play an important role in one-dimensional dynamics. During last fifty year at least three definitions of basic set has appeared. Authors often use results with different definition. Here we fill in the gap of missing proof of equivalency
Málek, Michal
core +1 more source
The topological entropy of Banach spaces
, 2011 We investigate some properties of (universal) Banach spaces of real functions in the context of topological entropy. Among other things, we show that any subspace of $C([0,1])$ which is isometrically isomorphic to $\ell_1$ contains a functions with ...
Bobok, Jozef, Bruin, Henk
core +1 more source