Passive–active integrators chaotic oscillator with anti-parallel diodes: analysis and its chaos-based encryption application to protect electrocardiogram signals

  • Justin Roger Mboupda PoneEmail author
  • Serdar Çiçek
  • Sifeu Takougang Kingni
  • Alain Tiedeu
  • Martin Kom


An autonomous passive–active integrators oscillator with anti-parallel diodes is proposed and analysed in this paper. It consists of anti-parallel diodes and two main blocks: A second-order passive RLC integrator and a first-order active RC integrator. The existence of two Hopf bifurcations is established during the stability analysis of the unique equilibrium point. For a suitable choice of the circuit parameters, the proposed oscillator can generate periodic oscillations, one-scroll, bistable chaotic attractors and antimonotonicity. The electronic circuit realization of the proposed oscillator is carried out to confirm results found during the numerical simulations. A good qualitative agreement is illustrated between the numerical simulations and experimental results. In addition, chaos-based encryption application to protect electrocardiogram (ECG) signals for secure transmission of medical information is performed using the proposed oscillator in chaotic regime. The ECG signals are successfully encrypted and the original ECG signal is successfully decrypted from noisy ECG signals.


Passive–active integrator oscillator Anti-parallel diodes Hopf bifurcation Bistable chaotic attractors Electronic circuit experiment Chaos-based encryption of ECG signals 



Authors would like to thank Mr. Marc Esperance Songolo (Department of Mathematics and Computer Science, University of Lubumbashi, Lubumbashi, R.D. Congo) for interesting discussions on mathematical analysis and carefully reading the manuscript and Dr. Gaby Tchimmoue (College of Technology, University of Buea, Cameroon) for providing data on ECG signals.


This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants performed by any of the authors.


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Authors and Affiliations

  1. 1.Research Unit of Automation and Applied Computer (RU-AIA), Electrical Engineering Department of IUT-FVUniversity of DschangBandjounCameroon
  2. 2.Department of Electronic and Automation, Vocational School of HacıbektaşNevşehir Hacı Bektaş Veli UniversityHacıbektaşTurkey
  3. 3.Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum IndustriesUniversity of MarouaMarouaCameroon
  4. 4.Signal, Image and Systems Laboratory, HTTTC, EbolowaUniversity of Yaoundé IEbolowaCameroon
  5. 5.Laboratoire de Génie Electrique Mécatronique et Traitement du Signal (LGEMTS), GRETMAT Team, Electrical Engineering Department of National Advanced School of Engineering, ENSPUniversity of Yaoundé IYaoundéCameroon

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