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Technology for Obtaining the Approximate Value of Moving Singular Points for a Class of Nonlinear Differential Equations in a Complex Domain

Author

Listed:
  • Victor Orlov

    (Institute of Digital Technologies and Modeling in Construction, Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, 129337 Moscow, Russia)

  • Magomedyusuf Gasanov

    (Institute of Digital Technologies and Modeling in Construction, Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, 129337 Moscow, Russia)

Abstract

In previous studies, the authors formulated precise criteria for finding moving singular points of one class of nonlinear differential equations with a second degree polynomial right-hand side for a real domain. In this paper, the authors generalize these exact criteria to a complex one by using phase spaces. The proposed technology for obtaining an approximate value of moving singular points is necessary for developing PC programs. This technology has been tested in a manual version based on a numerical experiment.

Suggested Citation

  • Victor Orlov & Magomedyusuf Gasanov, 2022. "Technology for Obtaining the Approximate Value of Moving Singular Points for a Class of Nonlinear Differential Equations in a Complex Domain," Mathematics, MDPI, vol. 10(21), pages 1-7, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3984-:d:954506
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