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Multistability, Antimonotonicity and Experimental Verification in a 3D SC-CNN Chua's Circuit with a Smooth Nonlinearity

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Abstract

The dynamical behavior of a smooth Chua's circuit based on state-controlled cellular neural network (SC-CNN) of three cells is proposed and investigated in this paper. The proposed circuit gives the possibility to observe reeking phenomena as the bistability and the coexistence of periodic and chaotic attractors also called multistability. Besides this phenomenon of multistability, it is found that the proposed circuit displays antimonotonicity phenomenon. An electronic implementation is carried out in OrCAD-PSpice software followed by an experimental investigation to confirm the numerical simulations results.

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Authors and Affiliations

  1. Unité de Recherche d’Automatique et d’Informatique Appliquée (UR-AIA), Department of Electrical Engineering, IUT-Fotso Victor Bandjoun, University of Dschang (Cameroon), PO Box 134, Bandjoun, Cameroon

    L. P. Nguemkoua Nguenjou & G. H. Kom

  2. Unité de Recherche de Matière Condensée, d’Electronique et de Traitement du Signal, Department of Physics, University of Dschang, P.O Box 67, Dschang, Cameroon

    L. P. Nguemkoua Nguenjou

  3. Groupe de Recherches en Technologies Medicales Appliquees Aux Tropiques (GRETMAT), Génie Eleclectrique Meacanique et Traitement du Signal (GEMTS), ENSP, University of Yaoundé I (Cameroon), PO Box 8390, Yaoundé, Cameroon

    G. H. Kom & A. B. Tiedeu

  4. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Sifeu Takougang Kingni

  5. Department of Energetic, Environnment and Thermal Engineering, University of Dschang IUT-FV, Bandjoun, Cameroon

    G. Tchuen

  6. Signal Image and Systems Laboratory, HTTTC, P.O Box 886, Ebolowa, Cameroon

    A. B. Tiedeu

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  1. L. P. Nguemkoua Nguenjou
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  2. G. H. Kom
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  3. Sifeu Takougang Kingni
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  4. G. Tchuen
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  5. A. B. Tiedeu
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Correspondence to G. H. Kom.

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Nguenjou, L.P.N., Kom, G.H., Kingni, S.T. et al. Multistability, Antimonotonicity and Experimental Verification in a 3D SC-CNN Chua's Circuit with a Smooth Nonlinearity. Trans Indian Natl. Acad. Eng. 7, 1151–1165 (2022). https://doi.org/10.1007/s41403-022-00351-1

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  • DOI: https://doi.org/10.1007/s41403-022-00351-1

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