Breakdown of Exponential Sensitivity to Initial Conditions: Role of the Range of Interactions

Possible generalization of Boltzmann-Gibbs statistics

1988 • 8,734 citations

Self-organized criticality: An explanation of the 1/fnoise

1987 • 7,285 citations

Construction of higher order symplectic integrators

1990 • 2,158 citations

Kolmogorov entropy and numerical experiments

1976 • 1,221 citations

Generalized statistical mechanics: connection with thermodynamics

1991 • 747 citations

Lévy Flights and Related Topics in Physics

1995 • 730 citations

Stellar polytropes and Tsallis' entropy

1993 • 568 citations

Clustering and relaxation in Hamiltonian long-range dynamics

1995 • 485 citations

Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems

1998 • 424 citations

Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics

1996 • 342 citations

Thermodynamics of Anomalous Diffusion

1995 • 253 citations

Generalized statistics and solar neutrinos

1996 • 231 citations

Generalized statistical mechanics: connection with thermodynamics

1992 • 226 citations

Power-law sensitivity to initial conditions—New entropic representation

1997 • 212 citations

Lyapunov Instability and Finite Size Effects in a System with Long-Range Forces

1998 • 157 citations

Measurements of inverse bremsstrahlung absorption and non-Maxwellian electron velocity distributions

1994 • 153 citations

Relaxation of 2D turbulence to a metaequilibrium near the minimum enstrophy state

1994 • 147 citations

Riemannian theory of Hamiltonian chaos and Lyapunov exponents

1996 • 145 citations

Power-law sensitivity to initial conditions within a logisticlike family of maps: Fractality and nonextensivity

1997 • 142 citations

On the irreversible nature of the Tsallis and Renyi entropies

1992 • 133 citations

Early Universe Test of Nonextensive Statistics

1997 • 129 citations

Generalized Nonextensive Thermodynamics Applied to the Cosmic Background Radiation in a Robertson-Walker Universe

1996 • 126 citations

Long-range interactions and nonextensivity in ferromagnetic spin models

1996 • 114 citations

Dynamic Linear Response Theory for a Nonextensive System Based on the Tsallis Prescription

1996 • 111 citations

Crossover from extensive to nonextensive behavior driven by long-range interactions

1995 • 111 citations

NONEXTENSIVE THERMOSTATISTICS AND FRACTALS

1995 • 96 citations

Statistical-Mechanical Foundation of the Ubiquity of the Lévy Distributions in Nature

1996 • 91 citations

Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution

1998 • 83 citations

Kolmogorov-Sinai entropy and Lyapunov spectra of a hard-sphere gas

1997 • 62 citations

Comment on “Thermodynamic stability conditions for the Tsallis and Rényi entropies” by J.D. Ramshaw

1995 • 59 citations

The Peculiar Velocity Function of Galaxy Clusters

1996 • 58 citations

Nonextensivity and Tsallis statistics in magnetic systems

1997 • 58 citations

Thermalization of an electron-phonon system in a nonequilibrium state characterizedby fractal distribution of phonon excitations

1997 • 53 citations

Perturbation and Variational Methods in Nonextensive Tsallis Statistics

1998 • 52 citations

Extensive and non-extensive thermodynamics. A molecular dynamic test

1996 • 52 citations

Maxwellian relative energies and solar neutrinos

1974 • 41 citations

When entropy does not seem extensive

1993 • 41 citations

Nonlinear inverse bremsstrahlung absorption and nonextensive thermostatistics

1997 • 41 citations

The one-dimensional Potts model with long-range interactions: a renormalization group approach

1997 • 40 citations

The Onsager reciprocity relations within Tsallis statistics

1997 • 34 citations

Constraints for solar neutrinos fluxes

1997 • 32 citations

Imitation games: Power-law sensitivity to initial conditions and nonextensivity

1998 • 32 citations

Slow Relaxation at Critical Point of Second Order Phase Transition in a Highly Chaotic Hamiltonian System

1996 • 23 citations