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Songmei Huan

  1. Existence of periodic orbits in three-dimensional piecewise linear systems.

    Fri, 01/15/2010 - 16:01 — SomNambul
    Authors: Xiao-Song Yang, Songmei Huan
    Subjects: Dynamical Systems
    Abstract

    Based on the results about the invariant cones appeared in the literature
    this paper analyses the existence of periodic orbits in three-dimensional
    continuous piecewise linear homogeneous systems with two zones, and a necessary
    and sufficient condition for the existence of periodic orbits of such systems
    is given.

  2. Nonstandard Hopf bifurcation in switched.

    Thu, 01/14/2010 - 16:01 — SomNambul
    Authors: Xiao-Song Yang, Songmei Huan
    Subjects: Dynamical Systems
    Abstract

    This paper presents an analysis on nonstandard generalized Hopf bifurcation
    in a class of switched systems where the lost of stability of linearized
    systems is not due to the crossing of their complex conjugate eigenvalues but
    relevant to the switching laws between the subslystems. Thus is remarkably
    different from the mechanism of the Hopf bifurcation and the generalized Hopf
    bifurcation studied in the literature.

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