Results 261 to 270 of about 118,745,644 (290)

On Topological Entropy of Switched Linear Systems with Diagonal, Triangular, and General Matrices

2018 IEEE Conference on Decision and Control (CDC), 2018
This paper introduces a notion of topological entropy for switched systems, formulated using the minimal number of initial states needed to approximate all initial states within a finite precision. We show that it can be equivalently defined using the maximal number of initial states separable within a finite precision, and introduce switching-related ...
Guosong Yang, A. James Schmidt, Daniel Liberzon   +2 more
openaire   +2 more sources

Zero topological entropy for C1 generic vector fields

Chaos, Solitons & Fractals, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological entropy of switched linear systems: general matrices and matrices with commutation relations

Mathematics of Control, Signals, and Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guosong Yang, A. James Schmidt, Daniel Liberzon, João P. Hespanha 0001   +3 more
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On the topological entropy of the free semigroup action generated by proper maps

Journal of Difference Equations and Applications, 2018
In this paper, we introduce the topological entropy of a free semigroup action generated by proper maps, which extends the notions of the topological entropy of the free semigroup actions defined b...
Yanguo Tian, Dongkui Ma, Xiaogang Lin
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The Generalized Milnor–Thurston Conjecture and Equal Topological Entropy Class in Symbolic Dynamics of Order Topological Space of Three Letters

Communications in Mathematical Physics, 2000
Write \(\mathcal U=\{L,C,M,D,R\}\), when \({\mathcal U}^\infty\) is the set of infinite sequences of the symbols ...
Peng, Shouli, Zhang, Xusheng
openaire   +1 more source

The topological entropy of non-dense orbits and generalized Schmidt games

Ergodic Theory and Dynamical Systems, 2017
We generalize the notion of Schmidt games to the setting of the general Caratheódory construction. The winning sets for such generalized Schmidt games usually have large corresponding Caratheódory dimensions (e.g., Hausdorff dimension and topological entropy). As an application, we show that for every $C^{1+\unicode[STIX]{x1D703}}$-partially hyperbolic
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Entropy generation analysis of topology-optimized porous reactors under pulsating flow conditions

International Journal of Heat and Mass Transfer
Mehrzad Alizadeh, Patcharawat Charoen-Amornkitt, Takahiro Suzuki   +2 more
exaly   +2 more sources

Topological entropy of the set of generic points for $(α-β)$-shifts

2019
We prove that all ($α$-$β$)-shifts with $0\le α<1$ and $β>2$ are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with the metric entropy.
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Generators for topological entropy and expansiveness

Mathematical Systems Theory, 1969
Harvey B. Keynes, James B. Robertson
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Identification of Network Topology Variations Based on Spectral Entropy

IEEE Transactions on Cybernetics, 2022
Gui-Jun Pan, Zhigang Zeng, Housheng Su   +2 more
exaly