AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.
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MathematicsLicense
BSD License, GNU Library or Lesser General Public License version 2.0 (LGPLv2), GNU General Public License version 2.0 (GPLv2)Follow AUTO-07P
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This ensemble of software routines for bifurcation analysis is superb.