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Symmetries and Fixed Point Stability of Stochastic Differential Equations Modeling Self-Organized Criticality
Alvaro Corral, Albert Diaz-Guilera
A stochastic nonlinear partial differential equation is built for two different models exhibiting self-organized criticality, the Bak, Tang, and Wiesenfeld (BTW) sandpile model and…
Stability of Spatio-Temporal Structures in a Lattice Model of Pulse-Coupled Oscillators
A. Diaz-Guilera, Alex Arenas, A. Corral +1
We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By studying the intrinsic dynamics of each member of the population and their mutual interaction…
On Self-Organized Criticality and Synchronization in Lattice Models of Coupled Dynamical Systems
C. J. Pérez, A. Corral, A. Díaz-Guilera +2
Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a p…