Convergence to the critical attractor of dissipative maps: Log-periodic oscillations, fractality, and nonextensivity

Possible generalization of Boltzmann-Gibbs statistics

1988 • 8,734 citations

Quantitative universality for a class of nonlinear transformations

1978 • 3,457 citations

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

1977 • 1,403 citations

The universal metric properties of nonlinear transformations

1979 • 1,381 citations

Thermodynamics of Chaotic Systems

1993 • 1,134 citations

Nonextensive statistics: theoretical, experimental and computational evidences and connections

1999 • 608 citations

Discrete-scale invariance and complex dimensions

1998 • 477 citations

Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems

1998 • 424 citations

Global Universality at the Onset of Chaos: Results of a Forced Rayleigh-Bénard Experiment

1985 • 280 citations

Power-law sensitivity to initial conditions—New entropic representation

1997 • 212 citations

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

1997 • 142 citations

log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation

1995 • 119 citations

Complex Fractal Dimensions Describe the Hierarchical Structure of Diffusion-Limited-Aggregate Clusters

1996 • 77 citations

Imprints of log-periodic self-similarity in the stock market

1999 • 65 citations

Specific heat anomalies associated with Cantor-set energy spectra

1997 • 64 citations

Circular-like maps: sensitivity to the initial conditions, multifractality and nonextensivity

1999 • 43 citations

Connection between energy spectrum, self-similarity, and specific heat log-periodicity

1998 • 41 citations

Circular-like maps: sensitivity to the initial conditions, multifractality and nonextensivity

1999 • 37 citations

Universal scaling of the stress field at the vicinity of a wedge crack in two dimensions and oscillatory self-similar corrections to scaling

1990 • 30 citations

Low-dimensional non-linear dynamical systems and generalized entropy

1999 • 20 citations

WEAK CHAOS: POWER-LAW SENSITIVITY TO INITIAL CONDITIONS AND NONEXTENSIVE THERMOSTATISTICS

1999 • 5 citations