Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2001-04-25
Nonlinear Sciences
Pattern Formation and Solitons
18 pages, including 11 figuers. To appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.64.056218
The effect of a temporal modulation at three times the critical frequency on a Hopf bifurcation is studied in the framework of amplitude equations. We consider a complex Ginzburg-Landau equation with an extra quadratic term, resulting from the strong coupling between the external field and the unstable modes. We show that, by increasing the intensity of the forcing, one passes from an oscillatory regime to an excitable one with three equivalent frequency locked states. In the oscillatory regime, topological defects are one-armed phase spirals, while in the excitable regime they correspond to three-armed excitable amplitude spirals. Analytical results show that the transition between these two regimes occurs at a critical value of the forcing intensity. The transition between phase and amplitude spirals is confirmed by numerical analysis and it might be observed in periodically forced reaction-diffusion systems.
Gallego Rafael
Miguel Maxi San
Toral Raul
Walgraef Daniel
No associations
LandOfFree
Transition from oscillatory to excitable regime in a system forced at three times its natural frequency does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Transition from oscillatory to excitable regime in a system forced at three times its natural frequency, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transition from oscillatory to excitable regime in a system forced at three times its natural frequency will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-648305