Dynamics in the controlled center manifolds by Hamiltonian structure-preserving stabilization

DOI10.1016/J.CHAOS.2018.05.006zbMath1394.37089OpenAlexW2802297837WikidataQ129891876 ScholiaQ129891876MaRDI QIDQ1663941

Tong Luo, Ming Xu, Yun-Feng Dong

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.05.006

zbMATH Keywords

normal formcenter manifoldsKAM stabilityHamiltonian structure-preserving controlLie seriessolar sail three-body problem

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Celestial mechanics (70F15) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (1)

The bifurcation of periodic orbits and equilibrium points in the linked restricted three-body problem with parameter ω

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