Solution multistability in first-order nonlinear differential delay equations.
The dependence of solution behavior to perturbations of the initial function (IF) in a class of nonlinear differential delay equations (DDEs) is investigated. The structure of basins of attraction of multistable limit cycles is investigated. These basins can possess complex structure at all scales measurable numerically although this is not necessarily the case. Sensitive dependence of the asymptotic solution to perturbations in the initial function is also observed experimentally using a task specific electronic analog computer designed to investigate the dynamics of an integrable first-order DDE.
Losson Jm
Jero me
Department of Physics and Center for Nonlinear Dynamics, McGill University, 3655 Drummond, Montreal, Quebec, H3G-1Y6, CanadaDepartments of Physiology, Physics, and Mathematics, and Center for Nonlinear Dynamics, McGill University, 3655 Drummond, Montreal, Quebec, H3G-1Y6, CanadaDepartement de Physique, Universite d'Ottawa, 150 Louis Pasteur, Ontario, K1N-6N5, Canada.
Mackey
Michael C.
MC
Longtin
Andre
A