Lie derivatives and dynamical systems

DOI10.1016/S0960-0779(98)00068-XzbMath0974.37022MaRDI QIDQ1809592

Ulrich Parlitz, Ljupčo Kocarev, Bambi Hu

Publication date: 18 December 2001

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

periodic orbitschaos synchronizationLie derivatives

Mathematics Subject Classification ID

Observability (93B07) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Analog circuit design and optimal synchronization of a modified Rayleigh system ⋮ Chaos control using small-amplitude damping signals of the extended Duffing equation ⋮ On the boundedness of solutions to the Lorenz-like family of chaotic systems ⋮ TRIANGULAR FORM OF CHAOTIC SYSTEM AND ITS APPLICATION IN CHAOS SYNCHRONIZATION ⋮ Towards generalized synchronization of strictly different chaotic systems ⋮ An extension to chaos control via Lie derivatives: Fully linearizable systems ⋮ Localization of periodic orbits of the Rössler system under variation of its parameters ⋮ Localization of periodic orbits of polynomial vector fields of even degree by linear functions ⋮ Chaotic synchronization based on Lie derivative method ⋮ Localization of periodic orbits of polynomial systems by ellipsoidal estimates ⋮ Bounds for a new chaotic system and its application in chaos synchronization

Cites Work

• Nonlinear control systems.
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