On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator

We investigate the families of periodic and nonperiodic behaviors admitted by a hysteresis-based circuit oscillator. The analysis is carried out by combining brute-force simulations with continuation methods. As a result of the analysis, it is shown that the existence of many different periodic solu...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2007-12, Vol.17 (4), p.043108-043108
Hauptverfasser: Stellardo, Daniele, Bizzarri, Federico, Storace, Marco, De Feo, Oscar
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container_title Chaos (Woodbury, N.Y.)
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creator Stellardo, Daniele
Bizzarri, Federico
Storace, Marco
De Feo, Oscar
description We investigate the families of periodic and nonperiodic behaviors admitted by a hysteresis-based circuit oscillator. The analysis is carried out by combining brute-force simulations with continuation methods. As a result of the analysis, it is shown that the existence of many different periodic solutions and of the chaotic behaviors associated with them is organized by few codimension-2 bifurcation points. This implies the possibility of switching between different periodic solutions by controlling only two bifurcation parameters, which makes the oscillator a possible generator of nontrivial periodic solutions suitable, for instance for actual radiofrequency identification systems applications.
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subjects Computer Simulation
Electronics, Medical
Equipment Design
Nonlinear Dynamics
Oscillometry - methods
Radio Waves
Time Factors
title On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator
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