Boundedness of certain forms of jerky dynamics

DOI10.1007/S12346-011-0056-7zbMath1337.34037OpenAlexW2035530776MaRDI QIDQ1944375

Zeraoulia Elhadj, Julien Clinton Sprott

Publication date: 5 April 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-011-0056-7

zbMATH Keywords

chaosboundednessjerky dynamicsthird-order nonlinear differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

On the stability and boundedness of certain third order non-autonomous differential equations of retarded type ⋮ ON SOME QUALITATIVE BEHAVIORS OF CERTAIN DIFFERENTIAL EQUATIONS OF FOURTH ORDER WITH MULTIPLE RETARDATIONS ⋮ Global asymptotic stability and boundedness of certain multi-delay functional differential equations of third order

Cites Work

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• Solution bounds of generalized Lorenz chaotic systems
• Bound of solutions to third-order nonlinear differential equations with bounded delay
• Estimating the bounds for the Lorenz family of chaotic systems
• Simplest dissipative chaotic flow.
• CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS
• Attraktorlokalisierung des Lorenz-Systems

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