Triple mode alignment in a canonical model of the blue-sky catastrophe

    Authors

    R. A. Van Gorder

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Nonlinear Dyn.

    Keywords

    Blue-sky catastrophe; Onset of chaos; Competitive modes; Volume; contraction; COMPETITIVE MODES; POPULATION DISAPPEARANCES; CHAOS SYNCHRONIZATION; ANTI-SYNCHRONIZATION; NONLINEAR DYNAMICS; BIFURCATION; OSCILLATIONS; ATTRACTORS; LORENZ; Engineering, Mechanical; Mechanics

    Abstract

    The blue-sky catastrophe (BSC) is a homoclinic bifurcation of a saddle node periodic orbit of codimension one, which has been found to occur in a number of physically relevant dynamics systems. The onset and termination of the BSC in a chaotic system is shown to coincide with the occurrence of triple mode alignment in a canonical model undergoing the BSC when the model is recast as an oscillator system. Typically, such behavior is only seen in hyperchaotic systems of dimension greater than three. Hence, in the case of three dimensional chaotic systems, competitive modes may under some circumstances be used in the prediction of the blue-sky catastrophe. Limitations to this approach are also discussed.

    Journal Title

    Nonlinear Dynamics

    Volume

    73

    Issue/Number

    1-2

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    397

    Last Page

    403

    WOS Identifier

    WOS:000320954900030

    ISSN

    0924-090X

    Share

    COinS