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Titlebook: Continuation and Bifurcations: Numerical Techniques and Applications; Dirk Roose,Bart De Dier,Alastair Spence Book 1990 Kluwer Academic Pu

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Aspects of Continuation Software, of features and options that appear to be necessary or desirable for continuation codes. With this it is hoped to provide a framework for writing further such codes, and for judging their differences.
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https://doi.org/10.1007/978-3-319-24379-5uivariance) condition. Specifically we analyze the solution structure near a point where a path of symmetry-breaking bifurcations and a path of fold points intersect. The treatment is such that numerical information is obtained which could prove useful when switching from one path to another.
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Alessandro Lonardi,Graziano Pravadelliolutions with a simplified Newton-like method which is related to the modifications of Newton’s method for the singular problems. Rank-1 corrections are discussed for large sparse problems to reduce the computational cost.
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