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International Conference on Applications in Nonlinear Dynamics

ICAND 2016: Proceedings of the 4th International Conference on Applications in Nonlinear Dynamics (ICAND 2016) pp 33–39Cite as

A Solvable Chaotic Oscillator with Multiple Set Points

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Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 6))

Abstract

Recently, a class of chaotic hybrid dynamical systems has been shown to have analytic solutions. Here we present a new example in this class and its electronic circuit implementation. This example builds on a previous study of a first order system in which a set point is switched between two values at times dictated by an external clock. We explore increasing the number of set points. An analytic solution to the system is presented and an electronic circuit is described. The circuit consists of an unstable resistor-capacitor filter with switching feedback. The feedback switches the set point to any number of values at times determined by an externally generated clock signal.

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Author information

Authors and Affiliations

  1. Charles M. Bowden Laboratory, U.S. Army AMRDEC, Redstone Arsenal, AL, USA

    Marko S. Milosavljevic, Jonathan N. Blakely & Ned J. Corron

Authors
  1. Marko S. Milosavljevic
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  2. Jonathan N. Blakely
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  3. Ned J. Corron
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Corresponding author

Correspondence to Marko S. Milosavljevic .

Editor information

Editors and Affiliations

  1. Code 2363, Space and Naval Warfare Systems Center Code 2363, San Diego, California, USA

    Visarath In

  2. Code 2363, Space and Naval Warfare Systems Center , San Diego, California, USA

    Patrick Longhini

  3. Department of Mathematics & Statistics, San Diego State University , San Diego, California, USA

    Antonio Palacios

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Milosavljevic, M.S., Blakely, J.N., Corron, N.J. (2017). A Solvable Chaotic Oscillator with Multiple Set Points. In: In, V., Longhini, P., Palacios, A. (eds) Proceedings of the 4th International Conference on Applications in Nonlinear Dynamics (ICAND 2016). ICAND 2016. Lecture Notes in Networks and Systems, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-52621-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-52621-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52620-1

  • Online ISBN: 978-3-319-52621-8

  • eBook Packages: EngineeringEngineering (R0)

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