Study on the Geometrical Properties and Existence of Orbit Homoclinic to a Saddle Point in n-Dimensional Autonomous Vector Field with Polynomials

DOI10.1142/S0218127418501699zbMath1414.34030OpenAlexW2910566571MaRDI QIDQ4611178

Ling-li Xie

Publication date: 24 January 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418501699

zbMATH Keywords

homoclinic orbitsaddle point\(n\)-dimensional autonomous vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes

Cites Work

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