Sil'nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity

DOI10.1006/jdeq.1995.1116zbMath0839.34050OpenAlexW2067979933MaRDI QIDQ1896767

Santiago Ibáñez, José Angel Rodríguez

Publication date: 16 June 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1116

zbMATH Keywords

strange attractorshomoclinic orbithorseshoesMelnikov's methodgeneric unfoldingssingularities of vector fieldscodimension 4Shil'nikov bifurcation point

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations in context of PDEs (35B32) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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