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Periodicity hubs and wide spirals in a two-component autonomous electronic circuit

Author

Listed:
  • Cabeza, Cecilia
  • Briozzo, Carlos A.
  • Garcia, Rodrigo
  • Freire, Joana G.
  • Marti, Arturo C.
  • Gallas, Jason A.C.

Abstract

We report an autonomous circuit containing periodicity hubs with surprisingly broad spirals. Knowledge of broad spirals is important because all presently known spirals are compressed along specific directions in parameter space making them difficult to study experimentally and theoretically. We characterize the performance of the circuit by computing stability diagrams for relevant sections of the control space. In addition, the alternation of chaotic and periodic spiral phases is contrasted with equivalent alternations obtained from an experimental implementation of the circuit.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:52:y:2013:i:c:p:59-65
    DOI: 10.1016/j.chaos.2013.04.001
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    Cited by:

    1. Klapcsik, Kálmán & Hegedűs, Ferenc, 2017. "The effect of high viscosity on the evolution of the bifurcation set of a periodically excited gas bubble," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 198-208.
    2. da Silva, Rodrigo A. & Rech, Paulo C., 2015. "Spiral periodic structures in a parameter plane of an ecological model," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 9-13.
    3. Xu, Lu & Chu, Yan-Dong & Yang, Qiong, 2020. "Novel dynamical Scenario of the two-stage Colpitts oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Zhang, Yunzhen & Liu, Zhong & Wu, Huagan & Chen, Shengyao & Bao, Bocheng, 2019. "Two-memristor-based chaotic system and its extreme multistability reconstitution via dimensionality reduction analysis," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 354-363.
    5. Makenne, Y.L. & Kengne, R. & Pelap, F.B., 2019. "Coexistence of multiple attractors in the tree dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 70-82.
    6. Medeiros, E.S. & Caldas, I.L. & Baptista, M.S., 2017. "Sensitive dependence on parameters of continuous-time nonlinear dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 16-19.
    7. 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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