Controlling spatiotemporal chaos in excitable media using an array of control points
نویسندگان
چکیده
The dynamics of activation waves in excitable media can give rise to spiral turbulence, the resulting spatiotemporal chaos being associated with empirical biological phenomena such as life-threatening disturbances in the natural rhythm of the heart. In this paper, we propose a spatially extended but non-global scheme using an array of control points for terminating such spatiotemporally chaotic excitations. A low-amplitude control signal is applied sequentially at each point on the array, resulting in a traveling wave of excitation in the underlying medium which drives away the turbulent activity. Our method is robust even in the presence of significant heterogeneities in the medium, which have often been an impediment to the success of other control schemes.
منابع مشابه
Controlling spatiotemporal chaos in excitable media by local biphasic stimulation
Controlling spatiotemporal chaos in excitable media by applying low-amplitude perturbations locally is of immediate applicability, e.g., in treating ventricular fibrillation, a fatal disturbance in the normal rhythmic functioning of the heart. We look at a mechanism of control by the local application of a series of biphasic pulses, i.e., involving both positive and negative stimulation. This r...
متن کاملControlling spatiotemporal chaos and spiral turbulence in excitable media: A review
Excitable media are a generic class of models used to simulate a wide variety of natural systems including cardiac tissue. Propagation of excitation waves in this medium results in the formation of characteristic patterns such as rotating spiral waves. Instabilities in these structures may lead to spatiotemporal chaos through spiral turbulence, which has been linked to clinically diagnosed cond...
متن کاملA Simple Scalar Coupled Map Lattice Model for Excitable Media
A simple scalar coupled map lattice (sCML) model for excitable media is derived in this paper. The new model, which has a simple structure, is shown to be closely related to the observed phenomena in excitable media. Properties of the sCML model are also investigated. Illustrative examples show that this kind of model is capable of reproducing the behavior of excitable media and of generating c...
متن کاملDesign and control of wave propagation patterns in excitable media.
Intricate patterns of wave propagation are exhibited in a chemical reaction-diffusion system with spatiotemporal feedback. Wave behavior is controlled by feedback-regulated excitability gradients that guide propagation in specified directions. Waves interacting with boundaries and with other waves are observed when interaction terms are incorporated into the control algorithm. Spatiotemporal fe...
متن کاملCONTROL OF CHAOS IN A DRIVEN NON LINEAR DYNAMICAL SYSTEM
We present a numerical study of a one-dimensional version of the Burridge-Knopoff model [16] of N-site chain of spring-blocks with stick-slip dynamics. Our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. It is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...
متن کامل