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Topological entropy
Known as:
Entropy (disambiguation)
In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity…
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Related topics
Related topics
13 relations
Axiom A
Chua's circuit
Complexity function
Dynamical system
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Broader (1)
Ergodic theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Entropy bounds on state estimation for stochastic non-linear systems under information constraints
C. Kawan
,
S. Yüksel
arXiv.org
2016
Corpus ID: 16364411
This paper studies state estimation over noisy channels for stochastic non-linear systems. We consider three estimation…
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2010
2010
Permutation complexity of spatiotemporal dynamics
J. Amigó
,
S. Zambrano
,
M. Sanjuán
2010
Corpus ID: 16854309
We call permutation complexity the kind of dynamical complexity captured by any quantity or functional based on order relations…
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2007
2007
Topological entropy of realistic quantum Hall wave functions
B. Friedman
,
G. Levine
2007
Corpus ID: 118502619
The entanglement entropy of the incompressible states of a realistic quantum Hall system are studied by direct diagonalization…
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2007
2007
On Computing the Topological Entropy of One-sided Cellular Automata
P. Lena
Journal of Cellular Automata
2007
Corpus ID: 14830621
We study the topological entropy of a particular class of dynamical systems: cellular automata. The topological entropy of a…
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2003
2003
Permutations and topological entropy for interval maps
M. Misiurewicz
2003
Corpus ID: 120591248
Recently Bandt, Keller and Pompe (2002 Entropy of interval maps via permutations Nonlinearity 15 1595–602) introduced a method of…
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2002
2002
Symbolic Dynamics from homoclinic tangles
P. Collins
International Journal of Bifurcation and Chaos in…
2002
Corpus ID: 5773540
We present a method for finding symbolic dynamics for a planar diffeomorphism with a homoclinic tangle. The method only requires…
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2001
2001
Topological entropy for differentiable maps of intervals
Y. Chung
2001
Corpus ID: 116959963
where jx Aj = inffjx yj : y 2 Ag for x 2 I , A I . It is known by Block ([2, 3]) that h(f ) is positive if and only iff has a…
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1999
1999
Homoclinics and chaotic behaviour for perturbed second order systems
M. Berti
,
P. Bolle
1999
Corpus ID: 38871526
AbstractThis paper deals with perturbed dynamical systems of the form: $$ - \ddot u + u = \nabla V\left( u \right) + \varepsilon…
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1988
1988
Topological entropy and recurrence of countable chains.
I. Salama
1988
Corpus ID: 55408064
On considere un systeme dynamique (X, σ) sur un espace etat denombrable. On introduit une sorte d'entropie topologique pour de…
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1986
1986
Word maps, isotopy and entropy
David Fried
1986
Corpus ID: 54033903
On trouve des diffeomorphismes de basse entropie dans chaque classe d'isotopie sur S 3 ×S 3
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