Dynamics of noninvertibility in delay equations

Models with a time delay often occur, since there is a naturally occurring delay in the transmission of information. A model with a delay can be noninvertible, which in turn leads to qualitative di erences between the dynamical properties of a delay equation and the familiar case of an ordinary di erential equation. We give speci c conditions for the existence of noninvertible solutions in delay equations, and describe the consequences of noninvertibility.

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