Invariant circles and phase portraits of cubic vector fields on the sphere

DOI10.1007/s12346-024-00979-0arXiv2310.14238OpenAlexW4392346295MaRDI QIDQ6204586

Supriyo Jana, Joji Benny, Soumen Sarkar

Publication date: 28 March 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.14238

zbMATH Keywords

periodic orbitfirst integralpolynomial vector fieldsphase portraitKolmogorov systeminvariant circleinvariant great circle

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Applications of PDEs on manifolds (58J90) Invariant manifolds for ordinary differential equations (34C45) Ordinary differential equations and systems on manifolds (34C40)

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