The generalized polynomial Moon–Rand system. (February 2018)

• Record Type: Journal Article
• Authors: Giné, Jaume; Valls, Claudia
• Is Part Of: Nonlinear analysis. Volume 39(2018)
• Page Start: 411
• Page End: 417
• Publication Date: 2018-02
• Subjects: Moon–Rand system -- Center–focus problem -- Center manifolds -- First integrals; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.07.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The Moon–Rand systems, developed to model control flexible space structures, are systems of differential equations in R 3 of the form u ̇ = v, v ̇ = − u − u w, w ̇ = − λ w + f ( u, v ) . We give a partially positive answer to a recently conjecture for a special class of such systems, called the generalized polynomial Moon–Rand systems in the case when λ ∈ ( 0, ∞ ) and f is either a homogeneous cubic, quartic, quintic or sextic polynomial.