https://doi.org/10.1140/epjp/i2011-11105-x
Regular Article
Dynamics of a traveling hole in one-dimensional systems near subcritical bifurcation
1
Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, P.B.812, Yaoundé, Cameroun
2
Laboratoire de Physique Fondamentale, Groupe Phénomènes Non Linéaires et Systèmes Complexes, UFD de Physique Fondamentale et Sciences de l’Ingénieur, Université de Douala, P.B.24157, Douala, Cameroun
* e-mail: joelgbruno@yahoo.fr
Received:
14
March
2011
Revised:
10
August
2011
Accepted:
29
September
2011
Published online:
11
November
2011
The dynamical behavior of a traveling hole in a large one-dimensional (1D) system obeying the complex Ginzburg-Landau amplitude equation is studied numerically as a function of parameters near a subcritical bifurcation. After having established the criterion of Benjamin-Feir-Newell (BFN) instability near the weakly inverted bifurcation, five types of dynamical regimes have been distinguished: laminar state and spatiotemporal intermittency regimes below the BFN line. Beyond the BFN line, we have observed a phase turbulence regime with a conserved phase winding number and no phase dislocations, a defect turbulence regime with a nonzero density of defects and, between these two regimes, a weak turbulence has been identified.
© Società Italiana di Fisica and Springer, 2011
