Complex bifurcations in a periodically forced normal form
C Baesens, G Nicolis - Zeitschrift für Physik B Condensed Matter, 1983 - Springer
C Baesens, G Nicolis
Zeitschrift für Physik B Condensed Matter, 1983•SpringerThe effect of a periodic forcing on the normal form of a two-dimensional dynamical system, in
which both roots of the characteristic equation can vanish simultaneously, is analyzed. In the
space spanned by the system's parameters, the onset of nonperiodic behavior and
subharmonic behavior are determined analytically using standard perturbation theory.
Moreover it is shown that complex behavior can already appear in the immediate vicinity of
singular points. An example of physico-chemical system amenable to the normal form is also …
which both roots of the characteristic equation can vanish simultaneously, is analyzed. In the
space spanned by the system's parameters, the onset of nonperiodic behavior and
subharmonic behavior are determined analytically using standard perturbation theory.
Moreover it is shown that complex behavior can already appear in the immediate vicinity of
singular points. An example of physico-chemical system amenable to the normal form is also …
Abstract
The effect of a periodic forcing on the normal form of a two-dimensional dynamical system, in which both roots of the characteristic equation can vanish simultaneously, is analyzed. In the space spanned by the system's parameters, the onset of nonperiodic behavior and subharmonic behavior are determined analytically using standard perturbation theory. Moreover it is shown that complex behavior can already appear in the immediate vicinity of singular points. An example of physico-chemical system amenable to the normal form is also constructed.
Springer