Abstract
The objective of this chapter is to study autonomous nonlinear continuous-time systems in electronics. Such systems have no external inputs and therefore oscillation of these systems must occur at least for some values of system parameters. If this is not so, such a system will not exhibit chaos. Therefore a chaotic autonomous system is usually some kind of oscillator. We start off by discussing Shinriki’s circuit in Section 5.2. In essence Shinriki’s circuit is a modified Van der Pol oscillator. It was originally presented by Shinriki, Yamamoto and Mori as a circuit which exhibits a type of random waveform (see [728]). It is studied here mainly for Hopf bifurcations. Thereafter we give numerical results obtained by Freire et al. in [259] which show that Shinriki’s circuit exhibits chaos.
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© 1997 Springer Science+Business Media Dordrecht
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van Wyk, M.A., Steeb, WH. (1997). Autonomous Systems in Electronics. In: Chaos in Electronics. Mathematical Modelling: Theory and Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8921-5_5
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DOI: https://doi.org/10.1007/978-94-015-8921-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4857-8
Online ISBN: 978-94-015-8921-5
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