Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System

DOI10.1142/S0218127417502054zbMath1382.37024OpenAlexW2781801733MaRDI QIDQ4601773

Tonghua Zhang, Ji-Bin Li

Publication date: 24 January 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127417502054

zbMATH Keywords

exact solutioncubic systemhomoclinic orbittorus knotknotted periodic orbit

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamics induced by flows and semiflows (37C10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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