Method for determining Hopf bifurcation points of a periodic state description of a technical system; computer program and computer program product executing the method; storage medium, computer memory, electric carrier signal, and data carrier storing the computer program; and method for downloading a computer program containing the method

摘要

A transfer function is formed starting from a technical system described by a system of parameter-dependent differential algebraic equations. Subsequently, information about the number of turns per unit length and about the monotonicity behavior of this transfer function is derived. It is established by using this information whether a Hopf bifurcation point is present. In the case of the presence of a Hopf bifurcation point, the latter is determined.