HOMCONT, an AUTO86-based toolbox for homoclinic bifurcation analysis, is described in detail. The toolbox allows the continuation of codimension-one homoclinic orbits to hyperbolic and non-hyperbolic equilibria, as well as detection and continuation of higher-order homoclinic singularities in more parameters. All known codim 2 cases that involve a unique homoclinic orbit are supported, and certain heteroclinic computations are also possible. The document contains details on the various files supplied with HOMCONT and how to use them to analyse several tutorial examples.

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Department of Analysis, Algebra and Geometry [AM]

Champneys, A. R., Kuznetsov, Y. A., & Sandstede, B. (1995). HomCont: An auto86 driver for homoclinic bifurcation analysis. Version 2.0. Department of Analysis, Algebra and Geometry [AM]. CWI.