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Novel dynamical Scenario of the two-stage Colpitts oscillator

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  • Xu, Lu
  • Chu, Yan-Dong
  • Yang, Qiong

Abstract

The paper performs a systematic investigation on the complexities in a two-stage Colpitts oscillator. An abundance of novel dynamical behaviors in the two-stage Colpitts oscillator are investigated by plotting stability diagrams, i.e., Lyapunov stability phase diagram and isospike diagrams, in two-dimensional parameter space. It not only covers some conventional structures, such as periodicity hubs and spirals, but also plenty of novel organizations, such as “eye of chaos”, split shrimp-shaped period island, periodic islands with fancy geometric distributions, and zig-zag networks. Beyond these, it also exhibits a new distribution regularity of spikes. It first finds the coexistence of these structures in a two-stage Colpitts oscillator, indicating that there are a number of elusive and undetected dynamical behaviors in the two-stage Colpitts oscillator. It will be beneficial to the profound understanding for the dynamical information of the two-stage Colpitts oscillator in the field of electronics.

Suggested Citation

  • Xu, Lu & Chu, Yan-Dong & Yang, Qiong, 2020. "Novel dynamical Scenario of the two-stage Colpitts oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920303957
    DOI: 10.1016/j.chaos.2020.109998
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    References listed on IDEAS

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    1. Cabeza, Cecilia & Briozzo, Carlos A. & Garcia, Rodrigo & Freire, Joana G. & Marti, Arturo C. & Gallas, Jason A.C., 2013. "Periodicity hubs and wide spirals in a two-component autonomous electronic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 52(C), pages 59-65.
    2. Freire, Joana G. & Gallas, Jason A.C., 2014. "Cyclic organization of stable periodic and chaotic pulsations in Hartley’s oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 129-134.
    3. Romanic Kengne & Robert Tchitnga & Anicet Mezatio & Anaclet Fomethe & Grzegorz Litak, 2017. "Finite-time synchronization of fractional-order simplest two-component chaotic oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(5), pages 1-10, May.
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    Cited by:

    1. Liu, Zeyi & Rao, Xiaobo & Gao, Jianshe & Ding, Shunliang, 2023. "Non-quantum chirality and periodic islands in the driven double pendulum system," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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