TY - JOUR
T1 - Periodic Orbits Bifurcating from a Nonisolated Zero-Hopf Equilibrium of Three-Dimensional Differential Systems Revisited
AU - Cândido, Murilo R.
AU - Llibre, Jaume
PY - 2018/5/1
Y1 - 2018/5/1
N2 - © 2018 World Scientific Publishing Company. In this paper, we study the periodic solutions bifurcating from a nonisolated zero-Hopf equilibrium in a polynomial differential system of degree two in ℝ3. More specifically, we use recent results of averaging theory to improve the conditions for the existence of one or two periodic solutions bifurcating from such a zero-Hopf equilibrium. This new result is applied for studying the periodic solutions of differential systems in ℝ3 having n-scroll chaotic attractors.
AB - © 2018 World Scientific Publishing Company. In this paper, we study the periodic solutions bifurcating from a nonisolated zero-Hopf equilibrium in a polynomial differential system of degree two in ℝ3. More specifically, we use recent results of averaging theory to improve the conditions for the existence of one or two periodic solutions bifurcating from such a zero-Hopf equilibrium. This new result is applied for studying the periodic solutions of differential systems in ℝ3 having n-scroll chaotic attractors.
KW - Averaging theory
KW - periodic solutions
KW - polynomial differential systems
KW - zero-Hopf bifurcation
KW - zero-Hopf equilibrium
UR - https://www.scopus.com/pages/publications/85047854501
U2 - 10.1142/S021812741850058X
DO - 10.1142/S021812741850058X
M3 - Article
SN - 0218-1274
VL - 28
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 5
M1 - 1850058
ER -