This paper deals with bifurcations of ω-periodic solutions (ω is unknown) of a parameter-dependent nonlinear autonomous differential system
dx/
dτ =
f(
x, λ) (
x, f(
x, λ)∈
Rn, λ∈
R) whose right member
f(
x, λ) satisfies the condition
f(
Px, λ)=
Pf(
x, λ) (
x∈
Rn, λ∈
R) for a real matrix
P (≠
In; a unit matrix) satisfying
Pq=
In for a positive even integer
q.
View full abstract