244 citations · 1.5k across the 40 of their papers we have counts for
12 papers · 1 filter
Nonlinear Dynamics of the Perceived Pitch of Complex Sounds
Julyan H. E. Cartwright, Diego L. Gonzalez, Oreste Piro
We apply results from nonlinear dynamics to an old problem in acoustical physics: the mechanism of the perception of the pitch of sounds, especially the sounds known as complex ton…
Frozen spatial chaos induced by boundaries
Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste Piro +1
We show that rather simple but non-trivial boundary conditions could induce the appearance of spatial chaos (that is stationary, stable, but spatially disordered configurations) in…
Dynamics of Elastic Excitable Media
Julyan H. E. Cartwright, Victor M. Eguiluz, Emilio Hernandez-Garcia +1
The Burridge-Knopoff model of earthquake faults with viscous friction is equivalent to a van der Pol-FitzHugh-Nagumo model for excitable media with elastic coupling. The lubricated…
Universality in Three-Frequency Resonances
Julyan H. E. Cartwright, Diego L. Gonzalez, Oreste Piro
We investigate the hierarchical structure of three-frequency resonances in nonlinear dynamical systems with three interacting frequencies. We hypothesize an ordering of these reson…
Boundary Effects in The Complex Ginzburg-Landau Equation
Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste Piro
The effect of a finite geometry on the two-dimensional complex Ginzburg-Landau equation is addressed. Boundary effects induce the formation of novel states. For example target like…
Average Patterns of Spatiotemporal Chaos: A Boundary Effect
Victor M. Eguiluz, Preben Alstrom, Emilio Hernandez-Garcia +1
Chaotic pattern dynamics in many experimental systems show structured time averages. We suggest that simple universal boundary effects underly this phenomenon and exemplify them wi…