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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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Calculation of maximum Lyapunov exponent for vibro-impact system
Xi'an Gongcheng Daxue xuebao, 2021 With the help of discontinuous mapping and tail mapping, the maximum Lyapunov exponent of the system with the above three structures was constructed using Khasminskii transform.
Hui DANG, Jinqian FENG, Sen YANG
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Recurrence and Lyapunov Exponents [PDF]
Moscow Mathematical Journal, 2003 We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.
Saussol, B. +2 more
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Quantum chaos in a weakly-coupled field theory with nonlocality
Journal of High Energy Physics, 2022 In order to study the chaotic behavior of a system with non-local interactions, we will consider weakly coupled non-commutative field theories. We compute the Lyapunov exponent of this exponential growth in the large Moyal-scale limit to leading order in
Willy Fischler +2 more
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CHAOTIC VIBRATION OF BUCKLED BEAMS AND PLATES [PDF]
INCAS Bulletin, 2009 The great developing of numerical analysis of the dynamic systems emphasizes the existence of astrong dependence of the initial conditions, described in the phase plane by attractors with acomplicated geometrical structure.
Daniela BARAN
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Entropy, 2021 The Lyapunov exponent is primarily used to quantify the chaos of a dynamical system. However, it is difficult to compute the Lyapunov exponent of dynamical systems from a time series.
Kei Inoue
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Cascade of Invariant Curve Doubling Bifurcations and Quasi-Periodic Hénon Attractor in the Discrete Lorenz-84 Model [PDF]
Известия Саратовского университета. Новая серия: Физика, 2020 Background and Objectives: Chaotic behavior is one of the fundamental properties of nonlinear dynamical systems, including maps. Chaos can be most easily and reliably diagnosed using the largest Lyapunov exponent, which will be positive for the chaotic ...
Popova, Elena Sergeevna +2 more
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Mathematics, 2022 The purpose of this study is to calculate the bending deflection which is used to investigate the largest Lyapunov exponent due to buckling load. The design methodology is to calculate the largest Lyapunov exponent parameter at different thickness ratios
Louay S. Yousuf
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Complexity, 2020 In this paper, the Adomian decomposition method (ADM) is applied to solve the fractional-order system with line equilibrium. The dynamics of the system is analyzed by means of the Lyapunov exponent spectrum, bifurcations, chaotic attractor, and largest ...
Heng Chen +5 more
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Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole
Journal of High Energy Physics, 2022 We investigate the conjectured bound on the Lyapunov exponent for a charged particle with angular motion in the Kerr-Newman-AdS black hole. The Lyapunov exponent is calculated based on the effective Lagrangian.
Bogeun Gwak +3 more
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