Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method
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DOI: 10.1007/s00707-016-1720-4
Abstract: By studying the transverse dynamics of the axially moving beam, the linear and nonlinear complex modes of gyroscopic continua are investigated based on the invariant manifold method. The nonlinear partial differential equations are truncated into… read more here.
Keywords: linear nonlinear; based invariant; manifold method; invariant manifold ... See more keywords
A hybrid method based on invariant manifold and chaos control for earth-moon low-energy transfer
Sign Up to like & getrecommendations! Published in 2019 at "Acta Astronautica"
DOI: 10.1016/j.actaastro.2018.11.038
Abstract: Abstract In this paper, a new hybrid method based on invariant manifold and chaos control is presented to design Earth-Moon low-energy transfer trajectory in the planar circular restricted three-body problem. In the proposed method, one… read more here.
Keywords: chaos control; earth; low energy; method ... See more keywords
A Wong-Zakai approximation for random invariant manifolds
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DOI: 10.1063/1.5017932
Abstract: Random invariant manifolds are geometric objects useful for understanding complex dynamics under stochastic influences. But these random objects are difficult to be visualized geometrically or computed numerically. The current work provides a perturbation approach to… read more here.
Keywords: random invariant; invariant manifold; zakai approximation; random ... See more keywords
Invariant manifold approach for quantifying the dynamics of highly inertial particles in steady and time-periodic incompressible flows.
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DOI: 10.1063/5.0081556
Abstract: The dynamics of finite-sized particles with large inertia are investigated in steady and time-dependent flows through the numerical solution of the invariance equation, describing the spatiotemporal evolution of the slow/inertial manifold representing the effective particle… read more here.
Keywords: time; time periodic; manifold approach; invariant manifold ... See more keywords
Planar periodic orbits’ construction around libration points with invariant manifold technique
Sign Up to like & getrecommendations! Published in 2019 at "Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering"
DOI: 10.1177/0954410017736544
Abstract: This paper revisits the planar periodic motions around libration points in circular restricted three-body problem based on invariant manifold technique. The invariant manifold technique is applied to construct the nonlinear polynomial relations between ξ-direction and… read more here.
Keywords: manifold technique; periodic orbits; libration; invariant manifold ... See more keywords