A butterfly-shaped localization set for the Lorenz attractor

DOI10.1016/j.physleta.2007.11.067zbMath1220.37013OpenAlexW1975553749MaRDI QIDQ637398

Takashi Yasukochi, Noboru Sakamoto, Masayasu Suzuki

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.11.067

zbMATH Keywords

Lyapunov methodLorenz attractorLagrange multiplier methodlocalization set

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25)

Related Items (7)

Localizing sets for invariant compact sets of continuous dynamical systems with a perturbation ⋮ A novel bounded 4D chaotic system ⋮ Bounding extrema over global attractors using polynomial optimisation ⋮ Ultimate bound of a 3D chaotic system and its application in chaos synchronization ⋮ Automatic generation of bounds for polynomial systems with application to the Lorenz system ⋮ Maximal transport in the Lorenz equations ⋮ ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS

Cites Work

• Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
• Estimations of domains with cycles
• Estimating the bounds for the Lorenz family of chaotic systems
• Localization of compact invariant sets of the Lorenz system
• An ultimate bound on the trajectories of the Lorenz system and its applications
• A note on Liapunov's method
• Deterministic Nonperiodic Flow
• Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions

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