Experimental Results Versus Computer Simulations of Noisy Poincaré Maps in an Intermittency Scenario

被引：0
作者：
Ezequiel del Rio
Sergio Elaskar
机构：
[1] Universidad Politécnica de Madrid,Dpto, Física Aplicada, ETSI Aeronáutica y del Espacio
[2] FCEFyN Universidad Nacional de Córdoba,Departamento de Aeronáutica
[3] Instituto de Estudios Avanzados en Ingeniería y Tecnología,undefined
[4] CONICET and Universidad Nacional de Córdoba,undefined
来源：
Regular and Chaotic Dynamics | 2020年 / 25卷
关键词：
chaotic intermittency; electronic circuit; noise; Poincaré map; 37E05;
D O I：
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摘要：
Intermittency is a route to chaos when transitions between laminar and chaotic dynamics occur. The main attribute of intermittency is the reinjection mechanism, described by the reinjection probability density (RPD), which maps trajectories of the system from the chaotic region into the laminar one. The main results on chaotic intermittency strongly depend on the RPD. Recently a generalized power law RPD has been observed in a wide class of 1D maps. Noise has an impact on the intermittency phenomena and the generalized RPD introduces a novel scenario because it is affected by the noise. An analytical approach was introduced to estimate the noisy RPD (NRPD). In this work we investigate the noisy RPD in two cases: an experimental continuous system, by means of a Poincaré map associated to it, and a numerical map chosen close to the experimental one. In the experimental map we use the internal noise of the circuit, whereas in the numerical map we introduce the noise in the usual way.
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页码：281 / 294
页数：13
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