arXiv:1409.6980 Abstract | arXiv Analytics

arXiv:1409.6980 [math.DS]Abstract References Reviews Resources

Shadowing for differential equations with grow-up

Published 2014-09-24Version 1

We consider the problem of shadowing for differential equations with grow-up. We introduce so-called nonuniform shadowing properties (in which size of the error depends on the point of the phase space) and prove for them analogs of shadowing lemma. Besides, we prove a theorem about weighted shadowing for flows. We compactify the system (using Poincare compactification, for example), apply the results about nonuniform or weighted shadowing to the compactified system, and then transfer the results back to the initial system using the decompactification procedure.

Comments: preprint, 19 pages, 3 figures

Categories: math.DS

Subjects: 37C50

Keywords: differential equations, error depends, decompactification procedure, nonuniform shadowing properties, poincare compactification

Related articles: Most relevant | Search more

arXiv:math/0111135 [math.DS] (Published 2001-11-12, updated 2001-11-15)

For differential equations with r parameters, 2r+1 experiments are enough for identification

Eduardo D. Sontag

arXiv:1902.03405 [math.DS] (Published 2019-02-09)

A new class of special functions arising from the solution of differential equations involving multiple proportional delays

Jayvant Patade, Sachin Bhalekar

arXiv:1701.04017 [math.DS] (Published 2017-01-15)