Results 1 to 10 of about 4,627 (196)
On Lyapunov exponent and sensitivity
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gérard Biau
exaly +3 more sources
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
doaj +2 more sources
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
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
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Lyapunov exponents for temporal networks
Physical Review E, 2023 By interpreting a temporal network as a trajectory of a latent graph dynamical system, we introduce the concept of dynamical instability of a temporal network, and construct a measure to estimate the network Maximum Lyapunov Exponent (nMLE) of a temporal network trajectory.
Annalisa Caligiuri +4 more
openaire +5 more sources
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
doaj +1 more source
Maximal Lyapunov exponent at crises [PDF]
Physical Review E, 1996 We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of the attractor ...
Mehra, Vishal, Ramaswamy, Ramakrishna
openaire +3 more sources