Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent [PDF]
European Physical Journal C: Particles and Fields, 2023 In this paper, we investigate the thermodynamic properties of the charged AdS Gauss–Bonnet black holes and their associations with the Lyapunov exponent. The chaotic features of the black holes and the isobaric heat capacity characterized by the Lyapunov
Xin Lyu, Jun Tao, Peng Wang
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Selection Procedures for the Largest Lyapunov Exponent in Gait Biomechanics [PDF]
Ann Biomed Eng, 2019 The present study was aimed at investigating the effectiveness of the Wolf et al. (LyE_W) and Rosenstein et al. largest Lyapunov Exponent (LyE_R) algorithms to differentiate data sets with distinctly different temporal structures.
P. Raffalt +3 more
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Analysis of Human Standing Balance by Largest Lyapunov Exponent [PDF]
Comput Intell Neurosci, 2015 The purpose of this research is to analyse the relationship between nonlinear dynamic character and individuals' standing balance by the largest Lyapunov exponent, which is regarded as a metric for assessing standing balance. According to previous study,
Kun Liu +3 more
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Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole [PDF]
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy PhysicsIn this letter, we study proper time Lyapunov exponents and coordinate time Lyapunov exponents of chaos for both massless and massive particles orbiting a four-dimensional Kerr-AdS black hole, and explore their relationships with the phase transition of ...
Deyou Chen, Yongtao Liu
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The problem of the inverse Lyapunov exponent and its applications [PDF]
Nonlinear Analysis, 2018 The problem of the inverse Lyapunov exponent was formulated and solved, involving to find such chaotic transformation for which the value of the Lyapunov exponent is given in advance.
Marcin Lawnik
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Positive Lyapunov exponent of discrete analytic Jacobi operator [PDF]
Electronic Journal of Differential Equations, 2017 In this article, we study the Lyapunov exponent of discrete analytic Jacobi operator with a family of some mappings on the torus. By applying the theory of subharmonic functions, we prove that the Lyapunov exponent is positive, if the coupling number ...
Kai Tao
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On the Lyapunov Exponent of Monotone Boolean Networks †
Mathematics, 2020 Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations.
Ilya Shmulevich
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Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent [PDF]
The Scientific World Journal, 2014 Nowadays, different kinds of experimental realizations of chaotic oscillators have been already presented in the literature. However, those realizations do not consider the value of the maximum Lyapunov exponent, which gives a quantitative measure of the
Esteban Tlelo-Cuautle +3 more
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Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-André model with an unbounded quasiperiodic potential [PDF]
Physical review B, 2022 In this work, we investigate the Anderson localization problems of the generalized Aubry-Andr´e model (Ganeshan-Pixley-Das Sarma’s model) with an unbounded quasi-periodic potential where the parameter | α | ≥ 1.
Yi-Cai Zhang, Yan-Yang Zhang
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Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle [PDF]
Physical Review D, 2021 We investigate the conjecture on the upper bound of the Lyapunov exponent for the chaotic motion of a charged particle around a Kerr-Newman black hole. The Lyapunov exponent is closely associated with the maximum of the effective potential with respect ...
Naoto Kan, Bogeun Gwak
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