LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR TIME-VARYING SYSTEMS

DOI10.1142/S021812740802121XzbMath1147.34326MaRDI QIDQ3536167

Konstantin E. Starkov, Alexander P. Krishchenko

Publication date: 17 November 2008

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

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05)

Related Items (19)

LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS ⋮ Localization of invariant compact sets for continuous systems with uncertainties ⋮ Localization of invariant compact sets of families of discrete-time systems ⋮ Qualitative properties of a Duffing system with polynomial nonlinearity ⋮ Localizing sets for invariant compact sets of continuous dynamical systems with a perturbation ⋮ Chaos and periodicity in Vallis model for El Niño ⋮ Cancer cell eradication in a 6D metastatic tumor model with time delay ⋮ On the efficiency of the functional localization method ⋮ Global dynamics of the Hastings-Powell system ⋮ Periodic solutions of \textit{El Niño} model through the Vallis differential system ⋮ Antimonotonicity, Bifurcation and Multistability in the Vallis Model for El Niño ⋮ Polynomial differential systems in \(\mathbb R^3\) having invariant weighted homogeneous surfaces ⋮ Global asymptotic stability analysis by the localization method of invariant compact sets ⋮ Localizing sets for invariant compact sets of discrete dynamical systems with perturbation and control ⋮ Localization of invariant compact sets of nonautonomous systems ⋮ Localizing sets and behavior of trajectories of time-varying systems ⋮ Chaotic dynamics of fractional Vallis system for El-Niño ⋮ Localization of control robust invariant compact sets in continuous systems ⋮ Localization of simple and complex dynamics in nonlinear systems

Cites Work

• Localization of compact invariant sets of the Lorenz system
• Phase synchronization of chaotic oscillations in terms of periodic orbits
• Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation
• BIFURCATIONS AND CONTINUOUS TRANSITIONS OF ATTRACTORS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS

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