We examine the number dependence of the largest Lyapunov exponent for nonlinear dynamical systems in one, two and three Cartesian dimensions. Our results suggest that the largest Lyapunov exponent diverges logarithmically with system size, independently of the number of Cartesian dimensions and the interaction potential
Abstract. Building on the kneading theory for Lozi maps introduced by Yutaka Ishii, in 1997, we intr...
Since several years Lyapunov Characteristic Exponents are of interest in the study of dynamical syst...
We compute semi-analytic and numerical estimates for the largest Lyapunov exponent in a many-particl...
We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and...
PACS. 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems. PACS. 05.70.Fh – Phase transiti...
Two commonly adopted expressions for the largest Lyapunov exponents of linearized stochastic systems...
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possib...
Sensitive dependence on initial conditions is a major characteristic of chaotic systems. This articl...
Largest Lyapunov exponent λ1 as a function of input modulation amplitude I1 for common (green) and i...
We consider the class of long-range Hamiltonian systems first introduced by Anteneodo and Tsallis an...
We study analytically the behavior of the largest Lyapunov exponent $\lambda_1$ for a one-dimensiona...
Dynamics of driven dissipative Frenkel-Kontorova model is examined by using largest Lyapunov exponen...
A non-vanishing Lyapunov exponent 1 provides the very definition of deterministic chaos in the solu...
We show that values of the correlation dimension estimated over a decade from the Grassberger-Procac...
We calculate the maximal Lyapunov exponent, the generalized entropies, the asymptotic distance betwe...
Abstract. Building on the kneading theory for Lozi maps introduced by Yutaka Ishii, in 1997, we intr...
Since several years Lyapunov Characteristic Exponents are of interest in the study of dynamical syst...
We compute semi-analytic and numerical estimates for the largest Lyapunov exponent in a many-particl...
We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and...
PACS. 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems. PACS. 05.70.Fh – Phase transiti...
Two commonly adopted expressions for the largest Lyapunov exponents of linearized stochastic systems...
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possib...
Sensitive dependence on initial conditions is a major characteristic of chaotic systems. This articl...
Largest Lyapunov exponent λ1 as a function of input modulation amplitude I1 for common (green) and i...
We consider the class of long-range Hamiltonian systems first introduced by Anteneodo and Tsallis an...
We study analytically the behavior of the largest Lyapunov exponent $\lambda_1$ for a one-dimensiona...
Dynamics of driven dissipative Frenkel-Kontorova model is examined by using largest Lyapunov exponen...
A non-vanishing Lyapunov exponent 1 provides the very definition of deterministic chaos in the solu...
We show that values of the correlation dimension estimated over a decade from the Grassberger-Procac...
We calculate the maximal Lyapunov exponent, the generalized entropies, the asymptotic distance betwe...
Abstract. Building on the kneading theory for Lozi maps introduced by Yutaka Ishii, in 1997, we intr...
Since several years Lyapunov Characteristic Exponents are of interest in the study of dynamical syst...
We compute semi-analytic and numerical estimates for the largest Lyapunov exponent in a many-particl...