On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves

dc.contributor	Universidade Estadual Paulista (Unesp)
dc.contributor	Universitat Autònoma de Barcelona
dc.date.accessioned	2018-12-11T16:48:05Z
dc.date.available	2018-12-11T16:48:05Z
dc.date.created	2018-12-11T16:48:05Z
dc.date.issued	2017-06-15
dc.identifier	International Journal of Bifurcation and Chaos, v. 27, n. 6, 2017.
dc.identifier	0218-1274
dc.identifier	http://hdl.handle.net/11449/169892
dc.identifier	10.1142/S0218127417500900
dc.identifier	2-s2.0-85021824139
dc.description.abstract	Lorenz studied the coupled Rosby waves and gravity waves using the differential system U = -VW + bVZ, V = UW - bUZ, W = -UV, Ẋ = -Z, Ż = bUV + X. This system has the two first integrals H1 = U2 + V2, H2 = V2 + W2 + X2 + Z2. Our main result shows that in each invariant set {H1 = h1 > 0}∩{H2 = h2 > 0} there are at least four (resp., 2) periodic solutions of the differential system with b≠0 and h2 > h1 (resp., h2 < h1).
dc.language	eng
dc.relation	International Journal of Bifurcation and Chaos
dc.relation	0,568
dc.rights	Acesso restrito
dc.source	Scopus
dc.subject	averaging theory
dc.subject	Lorenz system
dc.subject	periodic solution
dc.title	On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves
dc.type	Artículos de revistas