| Full text | |
| Author(s): |
Candido, Murilo R.
;
Valls, Claudia
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 179, p. 18-pg., 2022-07-08. |
| Abstract | |
In this work we study the invariant sets which emerge from the zero-Hopf bifurcations that general Van der Pol-Duffing equations can exhibit. We provide sufficient conditions for the simultaneous bifurcation of three periodic solutions and two invariant torus from the origin of this system. We use recent results related to the averaging method in order to analytically obtain our results. We also provide numerical examples for all the analytical results that we provide. (c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 19/05657-4 - Bifurcations of nested invariant tori and invariant sets of Lotka-Volterra differential systems |
| Grantee: | Murilo Rodolfo Cândido |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 18/07344-0 - Invariant Sets in differential Dynamical Systems: Periodic orbits, Invariant Tori and Algebraic surfaces. |
| Grantee: | Murilo Rodolfo Cândido |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |