ISP

This constant controls the detection of branch points, period-doubling bifurcations, and torus bifurcations.

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ISP=0 : This setting disables the detection of branch points, period-doubling bifurcations, and torus bifurcations and the computation of Floquet multipliers.

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ISP=1 : Branch points are detected for algebraic equations, but not for periodic solutions and boundary value problems. Period-doubling bifurcations and torus bifurcations are not located either. However, Floquet multipliers are computed.

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ISP=2 : This setting enables the detection of all special solutions. For periodic solutions and rotations, the choice ISP=2 should be used with care, due to potential inaccuracy in the computation of the linearized Poincaré map and possible rapid variation of the Floquet multipliers. The linearized Poincaré map always has a multiplier $z=1$. If this multiplier becomes inaccurate then the automatic detection of secondary periodic bifurcations will be discontinued and a warning message will be printed in fort.9. See also Section 11.4.

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ISP=3 : Branch points will be detected, but AUTO will not monitor the Floquet multipliers. Period-doubling and torus bifurcations will go undetected. This option is useful for certain problems with non-generic Floquet behavior.