Lie derivatives and dynamical systems
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Publication:1809592
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)
Observability (93B07) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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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
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