Unexpected Behaviors in a Single Mesh Josephson Junction Based Self-Reproducing Autonomous System

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversity of Dschang-
Autor(es): dc.contributorUniversity of Bamenda-
Autor(es): dc.contributorUniversity of Ulm-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorTalla, F. Calvin-
Autor(es): dc.creatorTchitnga, Robert-
Autor(es): dc.creatorFotso, P. H. Louodop [UNESP]-
Autor(es): dc.creatorKengne, Romanic-
Autor(es): dc.creatorNana, Bonaventure-
Autor(es): dc.creatorFomethe, Anaclet-
Data de aceite: dc.date.accessioned2022-02-22T00:31:41Z-
Data de disponibilização: dc.date.available2022-02-22T00:31:41Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-06-15-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0218127420500972-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/200777-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/200777-
Descrição: dc.descriptionIn the literature, existing Josephson junction based oscillators are mostly driven by external sources. Knowing the different limits of the external driven systems, we propose in this work a new autonomous one that exhibits the unusual and striking multiple phenomena among which coexist the multiple hidden attractors in self-reproducing process under the effect of initial conditions. The eight-term autonomous chaotic system has a single nonlinearity of sinusoidal type acting on only one of the state variables. A priori, the simplicity of the system does not predict the richness of its dynamics. We also find that a limit cycle attractor widens to a parameter controlling coexisting multiple-scroll attractors through the splitting and the inverse splitting of periods. Multiple types of bifurcations are found including period-doubling and period-splitting (antimonotonicity) sequences to chaos, crisis and Hopf type bifurcation. To the best of our knowledge, some of these interesting phenomena have not yet been reported in similar class of autonomous Josephson junction based circuits. Moreover, analytical investigations based on the Hopf theory analysis lead to the expressions that determine the direction of appearance of the Hopf bifurcation, confirming the existence and determining the stability of bifurcating periodic solutions. To observe this latter bifurcation and to illustrate the theoretical analysis, numerical simulations are performed. Chaos can be easily controlled by the frequency of the linear oscillator, the superconducting junction current, as well as the gain of the amplifier or circuit component values. The circuit and Field Programmable Gate Arrays (FPGA)-based implementation of the system are presented as well.-
Descrição: dc.descriptionResearch Group on Experimental and Applied Physics for Sustainable Development Faculty of Science Department of Physics University of Dschang, P. O. Box 412-
Descrição: dc.descriptionLaboratory of Condensed Matter Electronics and Signal Processing Department of Physics University of Dschang, P. O. Box 067-
Descrição: dc.descriptionDepartment of Physics Higher Teacher Training College University of Bamenda, P. O. Box 39-
Descrição: dc.descriptionInstitute of Surface Chemistry and Catalysis University of Ulm, Albert-Einstein-Allee 47-
Descrição: dc.descriptionInstituto de Fisica Teorica - UNESP Universidade Estadual Paulista Rua Dr. Bento Teobaldo Ferraz, 271, Bloco II, Barra Funda-
Descrição: dc.descriptionLaboratoire de Mécanique et de Modélisation des Systèmes L2MS Department of Mathematics and Computer Science Faculty of Science University of Dschang, P. O. Box 67-
Descrição: dc.descriptionInstituto de Fisica Teorica - UNESP Universidade Estadual Paulista Rua Dr. Bento Teobaldo Ferraz, 271, Bloco II, Barra Funda-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Bifurcation and Chaos-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectAntimonotonicity-
Palavras-chave: dc.subjectautonomous circuit-
Palavras-chave: dc.subjectFPGA implementation-
Palavras-chave: dc.subjecthidden attractors-
Palavras-chave: dc.subjectHopf theory analysis-
Palavras-chave: dc.subjectJosephson junction-
Palavras-chave: dc.subjectmultiple scrolls-
Palavras-chave: dc.subjectmultistability-
Palavras-chave: dc.subjectself-reproduction-
Título: dc.titleUnexpected Behaviors in a Single Mesh Josephson Junction Based Self-Reproducing Autonomous System-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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