ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM

DOI10.1142/S0218127407019755zbMath1151.78014MaRDI QIDQ3533731

Konstantin E. Starkov

Publication date: 23 October 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

invariant setdynamical systemcompact setlocalizationlasersnon-linear system

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (13)

LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS ⋮ The dynamical analysis of a new chaotic system and simulation ⋮ Localization of compact invariant sets and global stability in analysis of one tumor growth model ⋮ BOUNDS FOR THE SET CONTAINING ALL COMPACT INVARIANT SETS OF THE LINEARLY COUPLED LASER SYSTEM ⋮ Global asymptotic stability analysis by the localization method of invariant compact sets ⋮ Use of polynomials in localization problems for continuous dynamical systems ⋮ Bounds for a domain containing all compact invariant sets of the system describing the laser-plasma interaction ⋮ Bounds for compact invariant sets of the system describing dynamics of the nuclear spin generator ⋮ Bounding a domain containing all compact invariant sets of the permanent-magnet motor system ⋮ Bounds for a new chaotic system and its application in chaos synchronization ⋮ BOUNDING A DOMAIN THAT CONTAINS ALL COMPACT INVARIANT SETS OF THE BLOCH SYSTEM ⋮ Localization of invariant compact sets in differential inclusions ⋮ Localization of simple and complex dynamics in nonlinear systems

Cites Work

• Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
• Estimations of domains with cycles
• The Rikitake two-disk dynamo system and domains with periodic orbits
• Localization of compact invariant sets of the Lorenz system
• Localization of periodic orbits of the Rössler system under variation of its parameters
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM

This page was built for publication: ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM