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2005, 2005(Special): 768-777. doi: 10.3934/proc.2005.2005.768

Dynamics of noninvertibility in delay equations

Evelyn Sander 1, , E. Barreto 2, , S.J. Schiff 3, and  P. So 4,

1. 

Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, United States
2. 

Dept. of Physics & Astronomy, George Mason University, Fairfax, VA 22030, United States
3. 

Dept of Psychology, The Krasnow Institute for Advanced Study and The Program in Neuroscience, George Mason University, Fairfax, VA 22030, United States
4. 

Dept. of Physics & Astronomy, The Krasnow Institute for Advanced Study and The Program in Neuroscience, George Mason University, Fairfax, VA 22030, United States

Received  September 2004 Revised  April 2005 Published  September 2005

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.
Keywords: Delay differential equations, noninvertibility, nonuniqueness..
Mathematics Subject Classification: Primary:34K, Secondary:39.
Citation: Evelyn Sander, E. Barreto, S.J. Schiff, P. So. Dynamics of noninvertibility in delay equations. Conference Publications, 2005, 2005 (Special) : 768-777. doi: 10.3934/proc.2005.2005.768
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