Abstract

The effects of a static magnetic field on systems with chaotic dynamical behavior have attracted little attention so far. Here, Chua’s electronic circuit with an inductor placed in a static uniform magnetic field operating in a chaotic double-scroll regime is studied experimentally. The effect of the magnetic field on the duty cycle factor and the spike count rate, with spikes defined by crossings between the scrolls of the double-scroll attractor, is described. A slow monotonic variation in the duty cycle factor and constant spike count rate is observed for magnetic field intensities up to the threshold, where both these metrics change severely; the dynamic trajectory remains on one scroll and spikes disappear. The dependence of the static magnetic field intensity on Chua’s circuit resistivity at the threshold is given. Two biomimetic magnetic chaotic sensors are proposed: one based on one Chua’s circuit and another that can have various transfer functions and is composed of several independent Chua’s circuits.

Highlights

  • Static magnetic fields are used in many technologies for daily use and have an impact on humans, microorganisms, plants and animals [1,2,3]

  • We have presented experimental results obtained for an electronic Chua’s circuit with an inductor placed in a static moderate uniform magnetic field and operating in a chaotic double-scroll regime

  • This is the first experiment showing the effect of a static magnetic field on an electronic circuit with chaotic dynamical behavior

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Summary

Introduction

Static magnetic fields are used in many technologies for daily use and have an impact on humans, microorganisms, plants and animals [1,2,3]. They can be classified as weak (1 T) magnetic fields [2]. The commonly used sensors to measure static moderate magnetic fields are based on the Hall effect, on a change in resistance caused by the magnetic field (anisotropic magnetoresistance (AMR) and giant magnetoresistnce (GMR)) or on the bistability used in fluxgate magnetometers. One possible route to new static magnetic field detection technologies is to use new physical phenomena [4]

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