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

LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR TIME-VARYING SYSTEMS

Published:2008-05 Issue:05 Volume:18 Page:1599-1604
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

KRISHCHENKO ALEXANDER P.¹,STARKOV KONSTANTIN E.²

Affiliation:

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

2. CITEDI-IPN, Av. del Parque 1310, Mesa de Otay, Tijuana, B.C., Mexico

Abstract

In this paper we examine the localization problem of compact invariant sets of nonlinear time-varying systems with the differentiable right-side. We extend our results respecting the localization problem obtained earlier for time-invariant systems and apply them to a damped driven pendulum and the Vallis model with regard to the seasonal cycle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812740802121X

Reference11 articles.

1. Chaotic Dynamics

2. Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation

3. Nonlinear Control Systems

4. BIFURCATIONS AND CONTINUOUS TRANSITIONS OF ATTRACTORS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cancer cell eradication in a 6D metastatic tumor model with time delay;Communications in Nonlinear Science and Numerical Simulation;2023-06

2. Dual optimization approach to set invariance conditions for discrete-time dynamic systems;Optimization and Engineering;2023-02-25

3. Functional Method of Localization and LaSalle Invariance Principle;Mathematics and Mathematical Modeling;2021-05-04

4. On the Efficiency of the Functional Localization Method;Differential Equations;2020-11

5. Taming of the Hopf bifurcation in a driven El Niño model;Zeitschrift für Naturforschung A;2020-07-03