Results 131 to 140 of about 115,141 (223)

Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis

, 2020
It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps.
Yunping Jiang, Aihua Fan
core  

nD-NDHS: An n-Dimensional Non-Degenerate Hyperchaotic System with Controllable All-Positive Lyapunov Exponents

Mathematics
Constructing scalable, non-degenerate, and intensity-tunable high-dimensional hyperchaotic maps is a key challenge for chaotic cryptography. Existing n-dimensional real-valued chaotic systems frequently suffer from dynamical degradation, limited ...
Xiaobing Liu, Qing Ye, Jinnan Li, Wei Liu, Zhimin Yuan, Qian Zhou, Zebin Song   +6 more
doaj   +1 more source

Large deviations of Lyapunov exponents

, 2013
International audienceGeneric dynamical systems have 'typical' Lyapunov exponents, measuring the sensitivity to small perturbations of almost all trajectories. A generic system has also trajectories with exceptional values of the exponents, corresponding
Laffargue, Tanguy, Julien Tailleur, Lam, Khanh-Dang Nguyen Thu, Tailleur, Julien, Khanh-Dang Nguyen Thu Lam, Jorge Kurchan, Kurchan, Jorge, Tanguy Laffargue   +7 more
core   +1 more source

Internal reliability of coupled Kuramoto–Sakaguchi phase oscillators

Journal of Physics: Complexity
The notion of internal reliability in dynamical networks describes whether replicas of a particular unit follow the dynamics of the reference unit. Reliability and anti-reliability can be quantified by the transversal Lyapunov exponents.
Arkady Pikovsky, Franco Bagnoli, Stefano Iubini   +2 more
doaj   +1 more source

SOME RESULTS ON PERTURBATIONS OF LYAPUNOV EXPONENTS

, 2012
In this paper, we study two properties of the Lyapunov exponents under small perturbations: one is when we can remove zero Lyapunov exponents and the other is when we can distinguish all the Lyapunov exponents.
Sun, Wenxiang, Yang, Jiagang, Liang, Chao   +2 more
core   +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

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

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   +2 more sources

Recurrence and Lyapunov Exponents

, 2008
We prove two inequalities between the Lyapunov exponents of a dieomorphism and its local recurrence properties.
S. Vaienti, B. Saussol, S. Troubetzkoy
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