The fixed-scale transformation approach to fractal growth

A Erzan, L Pietronero, A Vespignani - Reviews of modern physics, 1995 - APS
Irreversible fractal-growth models like diffusion-limited aggregation (DLA) and the dielectric
breakdown model (DBM) have confronted us with theoretical problems of a new type for …

Dynamical approach to the spatiotemporal aspects of the Portevin–Le Chatelier effect: Chaos, turbulence, and band propagation

G Ananthakrishna, MS Bharathi - … Review E—Statistical, Nonlinear, and Soft …, 2004 - APS
The analysis of experimental time series, obtained from single and polycrystals subjected to
constant strain rate tests, reports an intriguing dynamical crossover from a low-dimensional …

Scaling properties and entropy of long-range correlated time series

A Carbone, HE Stanley - Physica A: Statistical Mechanics and its …, 2007 - Elsevier
We calculate the Shannon entropy of a time series by using the probability density functions
of the characteristic sizes of the long-range correlated clusters introduced in [A. Carbone, G …

Short-period attractors and non-ergodic behavior in the deterministic fixed-energy sandpile model

F Bagnoli, F Cecconi, A Flammini… - Europhysics …, 2003 - iopscience.iop.org
We study the asymptotic behaviour of the Bak, Tang, Wiesenfeld sandpile automata as a
closed system with fixed energy. We explore the full range of energies characterizing the …

Turbulent self-organized criticality

M De Menech, AL Stella - Physica A: Statistical Mechanics and its …, 2002 - Elsevier
In the prototype sandpile model of self-organized criticality time series obtained by
decomposing avalanches into waves, distinguished by the number of times the avalanche …

Statistical properties of chaos demonstrated in a class of one‐dimensional maps

A Csordas, G Györgyi, P Szepfalusy… - Chaos: An Interdisciplinary …, 1993 - pubs.aip.org
One‐dimensional maps with complete grammar are investigated in both permanent and
transient chaotic cases. The discussion focuses on statistical characteristics such as …

Spatiotemporal intermittency in lines of vortices

H Willaime, O Cardoso, P Tabeling - Physical Review E, 1993 - APS
The turbulent regimes of lines of electromagnetically forced vortices are investigated
experimentally. It is found that turbulence appears in the form of spatiotemporal …

Robustness of the emergence of synchronized clusters in branching hierarchical systems under parametric noise

A Roy, S Sinha, N Gupte - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
The dynamical robustness of networks in the presence of noise is of utmost fundamental and
applied interest. In this work, we explore the effect of parametric noise on the emergence of …

Lyapunov exponents and transport in the Zhang model of self-organized criticality

B Cessac, P Blanchard, T Krüger - Physical Review E, 2001 - APS
We discuss the role played by Lyapunov exponents in the dynamics of Zhang's model of self-
organized criticality. We show that a large part of the spectrum (the slowest modes) is …

Small-world networks exhibit pronounced intermittent synchronization

A Choudhary, C Mitra, V Kohar, S Sinha… - … Journal of Nonlinear …, 2017 - pubs.aip.org
We report the phenomenon of temporally intermittently synchronized and desynchronized
dynamics in Watts-Strogatz networks of chaotic Rössler oscillators. We consider topologies …