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Non-visible transformations of chaotic attractors due to their ultra-low density in AC–DC power factor correction converters

  • Dades identificatives

    Identificador: imarina:9138902
    Handle: https://hdl.handle.net/20.500.11797/imarina9138902
    Autors:
    Avrutin, ViktorZhusubaliyev, Zhanybai TEl Aroudi, Abdelali
    Resum:
    © 2020, Springer Nature B.V. Recently, it has been shown that DC–AC and AC–DC power converters whose dynamics is governed by two vastly different frequencies lead to a special class of piecewise smooth models characterized by a practically unpredictable number of switching manifolds between partitions in the state space associated with different dynamics. In the previous publications, we have shown that transformations of chaotic attractors in such models can be caused by their interactions with unstable cycles occurring in the regions of the attractors associated with an ultra-low invariant density, which is beyond a practical observability in physical or numerical experiments. The appearance of such low-density regions has been explained by the so-called spiking phenomenon. In the present paper, we make the next step and ask the natural question what are the reasons behind the appearance of spikes. Applying a novel technique (cobweb diagrams for non-autonomous maps), we explain a connection between spiking and the presence of two vastly different frequencies.

  • Altres:

    Autor segons l'article: Avrutin, Viktor; Zhusubaliyev, Zhanybai T; El Aroudi, Abdelali
    Departament: Enginyeria Electrònica, Elèctrica i Automàtica
    e-ISSN: 1573-269X
    Autor/s de la URV: El Aroudi Chaoui, Abdelali
    Paraules clau: Power electronic ac– Power electronic ac–dc pfc converter Piecewise smooth map Homoclinic bifurcation Chaotic attractor Bifurcations piecewise smooth map homoclinic bifurcation electronics dc pfc converter chaotic attractor
    Resum: © 2020, Springer Nature B.V. Recently, it has been shown that DC–AC and AC–DC power converters whose dynamics is governed by two vastly different frequencies lead to a special class of piecewise smooth models characterized by a practically unpredictable number of switching manifolds between partitions in the state space associated with different dynamics. In the previous publications, we have shown that transformations of chaotic attractors in such models can be caused by their interactions with unstable cycles occurring in the regions of the attractors associated with an ultra-low invariant density, which is beyond a practical observability in physical or numerical experiments. The appearance of such low-density regions has been explained by the so-called spiking phenomenon. In the present paper, we make the next step and ask the natural question what are the reasons behind the appearance of spikes. Applying a novel technique (cobweb diagrams for non-autonomous maps), we explain a connection between spiking and the presence of two vastly different frequencies.
    Àrees temàtiques: Ocean engineering Mechanics Mechanical engineering Matemática / probabilidade e estatística Interdisciplinar Engineering, mechanical Engenharias iv Engenharias iii Engenharias ii Engenharias i Electrical and electronic engineering Control and systems engineering Astronomia / física Applied mathematics Aerospace engineering
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 0924-090X
    Adreça de correu electrònic de l'autor: abdelali.elaroudi@urv.cat
    Identificador de l'autor: 0000-0001-9103-7762
    Data d'alta del registre: 2024-10-12
    Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
    Enllaç font original: https://link.springer.com/article/10.1007/s11071-020-06077-5
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Nonlinear Dynamics. 102 (4): 2905-2924
    Referència de l'ítem segons les normes APA: Avrutin, Viktor; Zhusubaliyev, Zhanybai T; El Aroudi, Abdelali (2020). Non-visible transformations of chaotic attractors due to their ultra-low density in AC–DC power factor correction converters. Nonlinear Dynamics, 102(4), 2905-2924. DOI: 10.1007/s11071-020-06077-5
    DOI de l'article: 10.1007/s11071-020-06077-5
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2020
    Tipus de publicació: Journal Publications

  • Paraules clau:

    Aerospace Engineering,Applied Mathematics,Control and Systems Engineering,Electrical and Electronic Engineering,Engineering, Mechanical,Mechanical Engineering,Mechanics,Ocean Engineering
    Power electronic ac– Power electronic ac–dc pfc converter
    Piecewise smooth map
    Homoclinic bifurcation
    Chaotic attractor
    Bifurcations
    piecewise smooth map
    homoclinic bifurcation
    electronics
    dc pfc converter
    chaotic attractor
    Ocean engineering
    Mechanics
    Mechanical engineering
    Matemática / probabilidade e estatística
    Interdisciplinar
    Engineering, mechanical
    Engenharias iv
    Engenharias iii
    Engenharias ii
    Engenharias i
    Electrical and electronic engineering
    Control and systems engineering
    Astronomia / física
    Applied mathematics
    Aerospace engineering

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