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Controlling chaos in Colpitts oscillator

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  • Li, Guo Hui
  • Zhou, Shi Ping
  • Yang, Kui

Abstract

In this paper, an adaptive backstepping design is proposed to synchronize and control the Colpitts oscillator. The proposed control approach enables stabilization of chaotic motion to a steady state as well as synchronization by recursively interlacing the choice of a Lyapunov function with the design of feedback control in a systematical way. Numerical simulations verify the effectiveness of the approach.

Suggested Citation

  • Li, Guo Hui & Zhou, Shi Ping & Yang, Kui, 2007. "Controlling chaos in Colpitts oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 582-587.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:582-587
    DOI: 10.1016/j.chaos.2006.01.072
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    Cited by:

    1. Martínez-Guerra, Rafael & Pasaye, José Juan Rincón, 2009. "Synchronization and anti-synchronization of chaotic systems: A differential and algebraic approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 840-846.
    2. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
    3. Wafo Tekam, Raoul Blaise & Kengne, Jacques & Djuidje Kenmoe, Germaine, 2019. "High frequency Colpitts’ oscillator: A simple configuration for chaos generation," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 351-360.

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