Degenerate hopf bifurcation from multiple eigenvalues and stability Academic Article uri icon

abstract

  • If ω0>0, K is a bounded linear operator from the real Banach space A into the real Banach space B, and f: A×R→B has the value zero at (0, α) for all α εR, we study the existence and (linear) stability of small amplitude, (2π/(ω + ω0))-periodic solutions of the dynamical system {Mathematical expression} with α and ω both close to zero. It is assumed that there are positive integers m1, m2,..., mρ{variant} and 1=n1

author list (cited authors)

  • Taliaferro, S. D.

citation count

  • 1

publication date

  • December 1986