74 citations · 266 across the 15 of their papers we have counts for
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Largest Lyapunov exponent of long-range XY systems
Raul O. Vallejos, Celia Anteneodo
We calculate analytically the largest Lyapunov exponent of the so-called Hamiltonian in the high energy regime. This system consists of a -dimensional lattice of classical…
Nonextensive scaling in a long-range Hamiltonian system
Celia Anteneodo
The nonextensivity of a classical long-range Hamiltonian system is discussed. The system is the so-called -XY model, a lattice of inertial rotators with an adjustable parameter…
Statistics of finite-time Lyapunov exponents in the Ulam map
Celia Anteneodo
The statistical properties of finite-time Lyapunov exponents at the Ulam point of the logistic map are investigated. The exact analytical expression for the autocorrelation functio…
Analytical results for coupled map lattices with long-range interactions
C. Anteneodo, S. E. de S. Pinto, A. M. Batista +1
We obtain exact analytical results for lattices of maps with couplings that decay with distance as . We analyze the effect of the coupling range on the system dynamics thro…
Risk aversion in financial decisions: A nonextensive approach
Celia Anteneodo, Constantino Tsallis
The sensitivity to risk that most people (hence, financial operators) feel affects the dynamics of financial transactions. Here we present an approach to this problem based on a cu…
Lyapunov exponent of many-particle systems: testing the stochastic approach
Celia Anteneodo, Raphael N. P. Maia, Raul O. Vallejos
The stochastic approach to the determination of the largest Lyapunov exponent of a many-particle system is tested in the so-called mean-field XY-Hamiltonians. In weakly chaotic reg…