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Numerical continuation of branch points of limit cycles in MATCONT. (English) Zbl 1086.65538
Bubak, Marian (ed.) et al., Computational science – ICCS 2004. 4th international conference, Kraków, Poland, June 6–9, 2004. Proceedings, Part II. Berlin: Springer (ISBN 3-540-22115-8/pbk). Lecture Notes in Computer Science 3037, 42-49 (2004).
Summary: MATCONT is a Matlab continuation package for the interactive numerical study of a range of parameterized nonlinear problems. We discuss a recent addition to the package, namely the continuation of branch points of limit cycles in three parameters which is not available in any other package. This includes the exact location of the BPC points and branch switching. The algorithm is important in the numerical study of symmetry and we illustrate it in the case of the famous Lorenz model for the atmospheric circulation.
For the entire collection see [Zbl 1051.68005].

MSC:
65P30 Numerical bifurcation problems
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
37M20 Computational methods for bifurcation problems in dynamical systems
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