DETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS

Author(s)

de Carvalho, Tiago ^[1] ; Euzebio, Rodrigo Donizete ^[2] ; Llibre, Jaume ^[3] ; Tonon, Durval Jose ^[4]

Affiliation

^[1] UNESP, Dept Matemat, Fac Ciencias, BR-17033360 Bauru, SP - Brazil

^[2] IMECC UNICAMP, Dept Matemat, BR-13083970 Campinas, SP - Brazil

^[3] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain

^[4] Univ Fed Goias, IME, BR-74001970 Goiania, Go - Brazil

• Document type: Journal article
• Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 21, n. 1, p. 1-11, JAN 2016.
• Web of Science Citations: 4

Abstract

Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in {[}3]. All these differential systems depend only on one-parameter. (AU)

• FAPESP's process: 13/25828-1 - Minimal sets and invariant manifolds in piecewise smooth systems
• Grantee: Rodrigo Donizete Euzébio
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 14/02134-7 - Qualitative theory and bifurcations of piecewise smooth vector fields
• Grantee: Tiago de Carvalho
• Support Opportunities: Regular Research Grants