Observing a codimension-two heteroclinic bifurcation

DOI10.1063/1.165965zbMath1055.37566OpenAlexW2023944991WikidataQ52403174 ScholiaQ52403174MaRDI QIDQ4526264

Takashi Matsumoto, Yasushi Abe, Ryuji Tokunaga

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165965

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of dynamical systems (37N99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Cites Work

• Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
• Birth and death of the double scroll
• The double scroll