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Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances

Author

Listed:
  • He, Shaobo
  • Fataf, N.A.A.
  • Banerjee, Santo
  • Sun, Kehui

Abstract

In this paper, a variable fractional-order muscular blood vessel system under the influence of different external disturbances is proposed. Specifically, those external disturbances includes periodic forces, stochastic signal and time delay force. Its dynamical analysis is then carried out by employing the bifurcation diagram and phase portraits. Meanwhile, multiscale C0 complexity measure and multiscale 0–1 test are applied to analyze complexity and to detect chaos. It shows that the multiscale coarse graining process deduces better analysis results. Rich dynamics and high complexity are found in the system. Specifically, the noise and non-constant derivative order functions make the system more complex such that the risk of vascular disease is increased. It provides a reference for understanding the vascular disease with complex external disturbances.

Suggested Citation

  • He, Shaobo & Fataf, N.A.A. & Banerjee, Santo & Sun, Kehui, 2019. "Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119305060
    DOI: 10.1016/j.physa.2019.04.140
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    Citations

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    Cited by:

    1. Das, Parthasakha & Mukherjee, Sayan & Das, Pritha, 2019. "An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 297-305.
    2. Maiti, S. & Shaw, S. & Shit, G.C., 2020. "Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Das, Parthasakha & Das, Pritha & Mukherjee, Sayan, 2020. "Stochastic dynamics of Michaelis–Menten kinetics based tumor-immune interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).

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