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Path-following numerical bifurcation programs such as AUTO, CONTENT, MatCont or XPPAUT need to be used with great care when applying to problems with (Ngeq3) identical oscillators these typically will not be able to find all solutions branching from one that loses stability.
In particular, the high multiplicity of the eigenvalues for loss of stability of the synchronous solution means: Path-following numerical bifurcation programs such as AUTO, CONTENT, MatCont or XPPAUT need to be used with great care when applying to problems with (Ngeq3) identical oscillators these typically will not be able to find all solutions branching from one that loses stability.
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They are being applied to problems that once seemed off-limits (such as policing and education).
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