Vector Fields with Non-Isolated Singular Points Viewed from the Inside and Outside

Authors

  • Natalia Pavlova Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia; RUDN University, Moscow, Russia
  • Alexey Remizov Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia

DOI:

https://doi.org/10.25728/assa.2025.2025.2.2051

Keywords:

vector fields, singular points, center manifold, normal forms, resonances

Abstract

We present a brief survey of recent results about vector fields with non-isolated singular points and their applications. One of the most interesting and promising application is connected with quasi-linear differential equations of the second order, including the equation of geodesics in signature varying (pseudo-Riemannian) metrics.

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Published

2025-06-01

Issue

Vol. 2025 No. 2 (2025): Advances in Systems Science and Applications

Section

Articles

How to Cite

Vector Fields with Non-Isolated Singular Points Viewed from the Inside and Outside. (2025). Advances in Systems Science and Applications, 2025(2), 92-104. https://doi.org/10.25728/assa.2025.2025.2.2051