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Bifurcations and multistability in a physically extended Lorenz system for rotating convection

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  • N. C. Pati

    (Birla Institute of Technology Mesra)

Abstract

We present a four-dimensional generalized Lorenz system for rotating weakly shear-thinning fluid layer subjected to heating from below. Various bifurcation patterns enroute to chaotic convection are reported. For certain parameter values, the system exhibits coexisting multiple attractors with different heterogeneous combinations viz., fixed point-periodic, multi-periodic with different periods, fixed point-chaotic, and periodic-chaotic depending upon initial conditions and system parameters. For basin of attraction corresponding to the coexisting attractors, both smooth and fractal basin boundaries can occur. The uncertainty fractional method is employed in exploring the fractality of the basin boundaries. Graphic Abstract

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  • N. C. Pati, 2023. "Bifurcations and multistability in a physically extended Lorenz system for rotating convection," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-15, August.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:8:d:10.1140_epjb_s10051-023-00585-0
    DOI: 10.1140/epjb/s10051-023-00585-0
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    References listed on IDEAS

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    1. Freire, Joana G. & Gallas, Jason A.C., 2014. "Cyclic organization of stable periodic and chaotic pulsations in Hartley’s oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 129-134.
    2. Irina Bashkirtseva & Alexander Pankratov, 2019. "Stochastic Higgins model with diffusion: pattern formation, multistability and noise-induced preference," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(10), pages 1-9, October.
    3. Bao, Han & Rong, Kang & Chen, Mo & Zhang, Xi & Bao, Bocheng, 2023. "Multistability and synchronization of discrete maps via memristive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Angela da Silva & N. C. Pati & Paulo C. Rech, 2022. "Multistability and period-adding in a logarithmic Lorenz system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-12, May.
    5. Nathan S. Nicolau & Tulio M. Oliveira & Anderson Hoff & Holokx A. Albuquerque & Cesar Manchein, 2019. "Tracking multistability in the parameter space of a Chua’s circuit model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(5), pages 1-8, May.
    6. Bruna B. T. Francisco & Paulo C. Rech, 2023. "Multistability, period-adding, and spirals in a snap system with exponential nonlinearity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-7, May.
    7. Ostrovskii, Valerii Yu. & Rybin, Vyacheslav G. & Karimov, Artur I. & Butusov, Denis N., 2022. "Inducing multistability in discrete chaotic systems using numerical integration with variable symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    8. Vinícius Wiggers & Paulo C. Rech, 2022. "On the dynamics of a Van der Pol–Duffing snap system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(2), pages 1-6, February.
    9. Anderson Hoff & Juliana Santos & Cesar Manchein & Holokx Albuquerque, 2014. "Numerical bifurcation analysis of two coupled FitzHugh-Nagumo oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(7), pages 1-9, July.
    10. Pati, N.C. & Layek, G.C. & Pal, Nikhil, 2020. "Bifurcations and organized structures in a predator-prey model with hunting cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    11. Haijun Wang & Guiyao Ke & Jun Pan & Feiyu Hu & Hongdan Fan & Qifang Su, 2023. "Two pairs of heteroclinic orbits coined in a new sub-quadratic Lorenz-like system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(3), pages 1-9, March.
    12. Irene Otero-Muras & Pencho Yordanov & Joerg Stelling, 2017. "Chemical Reaction Network Theory elucidates sources of multistability in interferon signaling," PLOS Computational Biology, Public Library of Science, vol. 13(4), pages 1-28, April.
    13. Echenausía-Monroy, J.L. & Gilardi-Velázquez, H.E. & Wang, Ning & Jaimes-Reátegui, R. & García-López, J.H. & Huerta-Cuellar, G., 2022. "Multistability route in a PWL multi-scroll system through fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    14. Carlos F. da Silva & Paulo C. Rech, 2023. "Chaos suppression, hyperchaos, period-adding, and discontinuous spirals in a bidirectional coupling of Lorenz systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-7, January.
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