LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS-Reference-Cited by-同舟云学术

LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS

Published:2011-07 Issue:07 Volume:21 Page:2057-2065
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

KANATNIKOV ANATOLY N.¹,KRISHCHENKO ALEXANDER P.¹

Affiliation:

1. Bauman Moscow State Technical University, 2-aya Baumanskaya ul., 5, 105005, Moscow, Russia

Abstract

In this paper, we examine the localization problem of compact invariant sets of discrete-time nonlinear systems. The localization procedure consists in applying the iterative algorithm based on the extremum condition. An analysis of a location of compact invariant sets of the Henon system is realized for all values of its parameters.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741102963X

Reference24 articles.

1. Bounding a domain containing all compact invariant sets of the permanent-magnet motor system

2. A two-dimensional mapping with a strange attractor

3. Some Stability Theorems for Ordinary Difference Equations

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