High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems

DOI10.1142/S0218127420500170zbMath1436.34035OpenAlexW3005656459MaRDI QIDQ5220450

Antonio Algaba, Kwok Wai Chung, Bo-Wei Qin, Alejandro J. Rodríguez-Luis

Publication date: 23 March 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420500170

zbMATH Keywords

perturbation methodTakens-Bogdanov bifurcationreversible systemnonlinear time transformationglobal connection

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Uses Software

• MATCONT

Cites Work

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