Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations

DOI10.1088/0951-7715/14/3/309zbMath0990.37039OpenAlexW2063033345MaRDI QIDQ2722672

Bart E. Oldeman, Bernd Krauskopf, Alan R. Champneys

Publication date: 17 August 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://research-information.bristol.ac.uk/en/publications/numerical-unfoldings-of-codimensionthree-resonant-homoclinic-flip-bifurcations(4a09a0ac-1e44-4b07-b78f-7854a6477408).html

zbMATH Keywords

chaos resonance homoclinic bifurcation homoclinic-doubling cascade inclination flip orbit flip

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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