BIFURCATIONS OF PERIODIC SOLUTIONS OF NONLINEAR AUTONOMOUS DIFFERENTIAL SYSTEMS WITH A CONDITION AND RESOLUTION OF SINGULARITIES ARISING FROM BIFURCATIONS
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.
