444 citations · 2.3k across the 51 of their papers we have counts for
10 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…
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…
Fuzzy Control of Chaos
Oscar Calvo, Julyan H. E. Cartwright
We introduce the idea of the fuzzy control of chaos: we show how fuzzy logic can be applied to the control of chaos, and provide an example of fuzzy control used to control chaos i…
Burridge-Knopoff Models as Elastic Excitable Media
Julyan H. E. Cartwright, Emilio Hernández-García, Oreste Piro
We construct a model of an excitable medium with elastic rather than the usual diffusive coupling. We explore the dynamics of elastic excitable media, which we find to be dominated…
Global Diffusion in a Realistic Three-Dimensional Time-Dependent Nonturbulent Fluid Flow
Julyan H. E. Cartwright, Mario Feingold, Oreste Piro
We introduce and study the first model of an experimentally realizable three-dimensional time-dependent nonturbulent fluid flow to display the phenomenon of global diffusion of pas…