Bi-shadowing and delay equations
Al-Nayef, A.; Diamond, P.; Kloeden, P.; Kozyakin, V.; Pokrovskii, A.; Al-Nayef, A.; School of Computing and Mathematics, Deakin Univesity; Diamond, P.; Department of Mathematics, University of Queensland; Kloeden, P.; School of Computing and Mathematics, Deakin Univesity; Kozyakin, V.; Russian Academy of Sciences, Institute of Information Transmission Problems; Pokrovskii, A.; School of Computing and Mathematics, Deakin Univesity
Журнал:
Dynamics and Stability of Systems
Дата:
1996
Аннотация:
Bi-shadowing is an extension to the concept of shadowing and is usually used in the context of comparing computed trajectories with the true trajectories of a dynamical system in Rn. Here the concept is defined in a Banach space and is applied to delay equations to give an apparently new result on nonlinear perturbations of linear delay equations. This is essentially a form of robustness with respect to small nonlinear disturbances.
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