Startseite Bifurcation analysis and circuit simulation of a novel four-scroll dynamical system with multistability and amplitude control
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Bifurcation analysis and circuit simulation of a novel four-scroll dynamical system with multistability and amplitude control

  • Rameshbabu Ramar EMAIL logo , Sundarapandian Vaidyanathan , Fareh Hannachi und Alain Soup Tewa Kammogne
Veröffentlicht/Copyright: 22. Juli 2025
Zeitschrift für Naturforschung A
Aus der Zeitschrift Zeitschrift für Naturforschung A Band 80 Heft 9

Abstract

This paper introduces a multistable four-scroll 3D chaotic system with amplitude control, offering a significant enhancement to the traditional four-scroll systems by allowing for dynamic adjustment of the amplitude of the chaotic oscillations. The system’s dynamics are thoroughly analyzed using equilibrium point analysis, Lyapunov exponents, bifurcation diagrams, and basins of attraction, revealing the presence of multiple stable attractors under different parameter configurations. The incorporation of amplitude control adds a new layer of flexibility, enabling the system to switch between different attractor states, including the four-scroll chaotic attractors, in a controlled manner. This multistable behavior with amplitude control is particularly valuable for applications in secure communication, chaos-based cryptography, and nonlinear signal processing. Moreover, transient chaotic behavior often emerges at certain parameter values where the system transitions between different dynamical regimes, highlighting the delicate balance between stability and chaos. An electronic circuit simulation is designed and implemented to validate the theoretical findings. The experimental results show that the circuit closely replicates the chaotic dynamics predicted by the mathematical model, including the successful realization of four-scroll chaotic attractors. The proposed system provides a promising framework for designing versatile chaotic systems with potential applications in diverse fields that require precise control over chaotic behavior.

Keywords: chaos; multistability; four-scroll attractors; amplitude control; transient chaos; circuit simulation
Corresponding author: Rameshbabu Ramar, Department of Electronics and Communication Engineering, V.S.B. Engineering College, Karur, Tamil Nadu 639111, India, E-mail: 

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: ChatGPT is used to only enhance the language and writing process.

  5. Conflict of interest: The author states no conflict of interest.

  6. Research funding: None declared.

  7. Data availability: Not applicable.

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Received: 2025-03-10
Accepted: 2025-06-27
Published Online: 2025-07-22
Published in Print: 2025-09-25

© 2025 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. On the extended G ′ G 2 -expansion method for an optical solution of the Schrödinger equation in quantum mechanics
  4. Chemical Physics
  5. Electronic structure and adsorption behavior of 2PANI with selected gases: a DFT approach
  6. Dynamical Systems & Nonlinear Phenomena
  7. Bifurcation analysis and circuit simulation of a novel four-scroll dynamical system with multistability and amplitude control
  8. Solving the forward problem of the Falkner–Skan equation using physics-informed derivative networks
  9. Similarity solutions using the optimal system of solvable Lie subalgebras for shock waves in a perfectly conducting rotating real dusty gas with magnetic field by applying the Lie symmetry method
  10. Parametric control of electron–positron acoustic solitons: bridging quantum plasma theory and compact stellar objects
  11. The study of wave propagation for (2 + 1)-dimensional Bogoyavlenskii’s breaking soliton system
  12. Nuclear Physics & Particle Physics
  13. β decay and nuclear structure properties of neutron-deficient isotopes 92Pd, 94Pd, 96Cd, 98Cd, 100Sn, and 102Sn using the RMF and pn-QRPA
  14. Particle masses from a non-linear field theory and magnetic charge
  15. Solid State Physics & Materials Science
  16. Tailoring the elastic, mechanical, and thermoacoustic properties of transition metal carbides
https://doi.org/10.1515/zna-2025-0097
Schlagwörter für diesen Artikel
chaos; multistability; four-scroll attractors; amplitude control; transient chaos; circuit simulation

Artikel in diesem Heft

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. On the extended G ′ G 2 -expansion method for an optical solution of the Schrödinger equation in quantum mechanics
  4. Chemical Physics
  5. Electronic structure and adsorption behavior of 2PANI with selected gases: a DFT approach
  6. Dynamical Systems & Nonlinear Phenomena
  7. Bifurcation analysis and circuit simulation of a novel four-scroll dynamical system with multistability and amplitude control
  8. Solving the forward problem of the Falkner–Skan equation using physics-informed derivative networks
  9. Similarity solutions using the optimal system of solvable Lie subalgebras for shock waves in a perfectly conducting rotating real dusty gas with magnetic field by applying the Lie symmetry method
  10. Parametric control of electron–positron acoustic solitons: bridging quantum plasma theory and compact stellar objects
  11. The study of wave propagation for (2 + 1)-dimensional Bogoyavlenskii’s breaking soliton system
  12. Nuclear Physics & Particle Physics
  13. β decay and nuclear structure properties of neutron-deficient isotopes 92Pd, 94Pd, 96Cd, 98Cd, 100Sn, and 102Sn using the RMF and pn-QRPA
  14. Particle masses from a non-linear field theory and magnetic charge
  15. Solid State Physics & Materials Science
  16. Tailoring the elastic, mechanical, and thermoacoustic properties of transition metal carbides
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