Results 151 to 160 of about 9,353 (233)

Transformations preserving the Lyapunov exponents

, 2018
We give a complete characterization of the existence of Lyapunov coordinate changes bringing an invertible sequence of matrices to one in block form.
Luis Barreira, Claudia Valls
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LYAPUNOV EXPONENTS OF HYPERBOLIC MEASURES AND HYPERBOLIC PERIODIC ORBITS

, 2010
Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.MathematicsSCI(E)9ARTICLE84267 ...
Wang, Zhenqi, Wenxiang Sun, Zhenqi Wang, Sun, Wenxiang   +3 more
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Effects of metronome walking on long-term attractor divergence and correlation structure of gait: a validation study in older people

Scientific Reports
This study investigates the effects of metronome walking on gait dynamics in older adults, focusing on long-range correlation structures and long-range attractor divergence (assessed by maximum Lyapunov exponents).
Sophia Piergiovanni, Philippe Terrier
doaj   +1 more source

Probing thermodynamic phase transitions via Lyapunov exponent in AdS black hole with perfect fluid dark matter

European Physical Journal C: Particles and Fields
We revisit the large-small black hole phase transitions in Reissner–Nordström (RN) AdS black holes coupled with perfect fluid dark matter. Besides the free energy, we examine the features of Lyapunov exponents for both massive and massless particles ...
R. H. Ali, Xiao-Mei Kuang
doaj   +1 more source

Cellular automata and Lyapunov exponents

, 2000
In this article we give a new definition of some analog of Lyapunov exponents for cellular automata .Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the ...
Tisseur, Pierre
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d-Dimensional Classical Heisenberg Model with Arbitrarily-Ranged Interactions: Lyapunov Exponents and Distributions of Momenta and Energies. [PDF]

Entropy (Basel), 2019
Rodríguez A, Nobre FD, Tsallis C.
europepmc   +1 more source

Lyapunov exponent

Scholarpedia, 2013
openaire   +1 more source

Characteristic distribution of finite-time Lyapunov exponents for chimera states. [PDF]

Sci Rep, 2016
Botha AE.
europepmc   +1 more source

LYAPUNOV EXPONENTS FOR ONE-DIMENSIONAL CELLULAR AUTOMATA

In the paper we give a mathematical definition of the left and right Lyapunov exponents for a one-dimensional cellular automaton (CA). We establish an inequality between the Lyapunov exponents and entropies (spatial and temporal)

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Liao Standard Systems and Nonzero Lyapunov Exponents for Differential Flows

, 2007
Consider a C¹ vector field together with an ergodic invariant probability that has ` nonzero Lyapunov exponents. Using orthonormal moving frames along certain transitive orbits we construct a linear system of ` differential equations which is a reduced ...
Wenxiang Sun, Todd Young
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