81 citations · 137 across the 6 of their papers we have counts for
6 papers
A Systems-Based Approach to Multiscale Computation: Equation-Free Detection of Coarse-Grained Bifurcations
C. I. Siettos, R. Rico-Martinez, I. G. kevrekidis
We discuss certain basic features of the equation-free (EF) approach to modeling and computation for complex/multiscale systems. We focus on links between the equation-free approac…
Coarse Projective kMC Integration: Forward/Reverse Initial and Boundary Value Problems
R. Rico-Martinez, C. W. Gear, I. G. Kevrekidis
In "equation-free" multiscale computation a dynamic model is given at a fine, microscopic level; yet we believe that its coarse-grained, macroscopic dynamics can be described by cl…
Dynamical system analysis and forecasting of deformation produced by an earthquake fault
Marian Anghel, Yehuda Ben-Zion, Ramiro Rico-Martinez
We present a method of constructing low-dimensional nonlinear models describing the main dynamical features of a discrete 2D cellular fault zone, with many degrees of freedom, embe…
Adaptive Detection of Instabilities: An Experimental Feasibility Study
R. Rico-Martinez, K. Krischer, G. Flaetgen +2
We present an example of the practical implementation of a protocol for experimental bifurcation detection based on on-line identification and feedback control ideas. The idea is t…
Global Bifurcations in Rayleigh-Benard Convection: Experiments, Empirical Maps and Numerical Bifurcation Analysis
I. G. Kevrekidis, R. Rico-Martinez, R. E. Ecke +2
We use nonlinear signal processing techniques, based on artificial neural networks, to construct an empirical mapping from experimental Rayleigh-Benard convection data in the quasi…
Identification of Continuous-Time Dynamical Systems: Neural Network Based Algorithms and Parallel Implementation
Robert M. Farber, Alan S. Lapedes, Ramiro Rico-Martínez +1
Time-delay mappings constructed using neural networks have proven successful in performing nonlinear system identification; however, because of their discrete nature, their use in…