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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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Scrambling and Lyapunov exponent in spatially extended systems
, 2021 Scrambling of information in a quantum many-body system, quantified by the out-of-time-ordered correlator (OTOC), is a key manifestation of quantum chaos. A regime of exponential growth in the OTOC, characterized by a Lyapunov exponent, has so far mostly
A. Keselman, L. Nie, E. Berg
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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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Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent [PDF]
Transactions of the American Mathematical Society, 2017 We provide a complete and self-contained proof of spectral and dynamical localization for the one-dimensional Anderson model, starting from the positivity of the Lyapunov exponent provided by F\"urstenberg's theorem. That is, a Schr\"odinger operator in $
Valmir Bucaj +6 more
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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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Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System. [PDF]
Physical Review Letters, 2016 It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit ℏ→0, its rate of exponential growth resembles the classical Lyapunov ...
E. Rozenbaum, S. Ganeshan, V. Galitski
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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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A random cocycle with non Hölder Lyapunov exponent [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2018 We provide an example of a Schr\"odinger cocycle over a mixing Markov shift for which the integrated density of states has a very weak modulus of continuity, close to the log-H\"older lower bound established by W. Craig and B. Simon.
P. Duarte +2 more
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