Results 1 to 10 of about 31,690 (208)
Analysis for global characteristics of Lyapunov exponents in vehicle plane motion system. [PDF]
Sci Rep, 2022 In the field of vehicle system dynamics, it is significant to propose an appropriate quantitative indicator for system stability or dynamics characteristics.
Meng F, Shi S, Zhang B, Bai M, Lin N.
europepmc +2 more sources
Quantum Bounds on the Generalized Lyapunov Exponents. [PDF]
Entropy (Basel), 2023 We discuss the generalized quantum Lyapunov exponents Lq, defined from the growth rate of the powers of the square commutator. They may be related to an appropriately defined thermodynamic limit of the spectrum of the commutator, which plays the role of ...
Pappalardi S, Kurchan J.
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Statistics of Finite Scale Local Lyapunov Exponents in Fully Developed Homogeneous Isotropic Turbulence [PDF]
Advances in Mathematical Physics, 2018 The present work analyzes the statistics of finite scale local Lyapunov exponents of pairs of fluid particles trajectories in fully developed incompressible homogeneous isotropic turbulence.
Nicola de Divitiis
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Tranquilizer effect on the Lyapunov exponents of lame horses. [PDF]
Heliyon, 2020 Tranquilization of horses with acepromazine has been used to suppress erratic head movements and increase the accuracy of a lameness examination. Some equine clinicians believe that tranquilization with acepromazine will make lameness more evident by ...
Zhao J, Marghitu DB, Schumacher J.
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Analysis of Pseudo-Lyapunov Exponents of Solar Convection Using State-of-the-Art Observations. [PDF]
Entropy (Basel), 2021 The solar photosphere and the outer layer of the Sun’s interior are characterized by convective motions, which display a chaotic and turbulent character.
Viavattene G +6 more
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Lyapunov Exponents of a Discontinuous 4D Hyperchaotic System of Integer or Fractional Order. [PDF]
Entropy (Basel), 2018 In this paper, the dynamics of local finite-time Lyapunov exponents of a 4D hyperchaotic system of integer or fractional order with a discontinuous right-hand side and as an initial value problem, are investigated graphically.
Danca MF.
europepmc +2 more sources
Entropy potential and Lyapunov exponents [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997 According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function: the entropy potential.
Alessandro Torcini +9 more
core +5 more sources
Symplectic Calculation of Lyapunov Exponents
Physical Review Letters, 1994 The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method
Habib, Salman, Ryne, Robert D.
core +3 more sources
Probing phase structure of black holes with Lyapunov exponents
Journal of High Energy Physics, 2022 We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for Reissner-Nordström-AdS black holes ...
Xiaobo Guo +3 more
doaj +1 more source
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
openaire +4 more sources