| Full text | |
| Author(s): |
Carvalho, Tiago
;
Llibre, Jaume
Total Authors: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 27, n. 6 JUN 15 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Lorenz studied the coupled Rosby waves and gravity waves using the differential system (U) over dot = -VW + bVZ, (V) over dot = UW -bUZ, (W) over dot = -UV, (X) over dot = -Z, Z over dot = bUV + X. This system has the two first integrals H-1 = U-2 + V-2, H-2 = V-2 + W-2 + X-2 + Z(2). Our main result shows that in each invariant set [H-1 = h(1) > 0] boolean AND [H-2 = h(2) > 0] there are at least four (resp., 2) periodic solutions of the differential system with b not equal 0 and h(2) > h(1) (resp., h(2) < h(1)). (AU) | |
| FAPESP's process: | 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |