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Generic Hopf bifurcation from lines of equilibria without parameters. III. Binary oscillations. (English) Zbl 1090.37556

MSC:
37L10 Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems
34C23 Bifurcation theory for ordinary differential equations
35L65 Hyperbolic conservation laws
35L67 Shocks and singularities for hyperbolic equations
35R10 Functional partial differential equations
37G10 Bifurcations of singular points in dynamical systems
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References:
[1] DOI: 10.1007/BF00281500 · Zbl 0596.92010 · doi:10.1007/BF00281500
[2] DOI: 10.1512/iumj.1977.26.26006 · Zbl 0365.58012 · doi:10.1512/iumj.1977.26.26006
[3] Fiedler B., SIAM J. Math. Anal., to appear. (2000)
[4] Fiedler B., J. Diff. Eqs., to appear. (2000)
[5] Levermore C. D., Physica 99 pp 191– (1996)
[6] Shoshitaishvili A. N., Tr. Sem. Petrovskogo 1 pp 279– (1975)
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