The orbital stability of the trajectories of dynamic systems

DOI10.1016/0021-8928(90)90051-BzbMath0760.34046MaRDI QIDQ1185616

Gennady Alekseevich Leonov

Publication date: 28 June 1992

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionLorenz systemorbital stabilityglobal asymptotical stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Orbital stability of nonlinear Schrödinger-Kirchhoff equations ⋮ Orbital stabilization of point-to-point maneuvers in underactuated mechanical systems

Cites Work

• One method of constructing positively invariant sets for a Lorenz system
• Some applications of Hausdorff dimension inequalities for ordinary differential equations
• Attraktorlokalisierung des Lorenz-Systems
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