Abstract
With a generic model excitable system, we have investigated the spatio-temporal dynamics of a spiral tip in the presence of an extrinsic localized periodic modulation. The tip of a modulated spiral does exhibit a variety of different trajectories depending on the strength and the frequency of the modulation. Its motion can be quasiperiodic on a 2-torus, quasiperiodic or mode locked on a 3-torus, or fully chaotic. Various bifurcations, including hard Hopf bifurcations and saddle-node bifurcations at strong resonances and period-doubling bifurcations of a mode-locked 3-torus, are revealed. In particular, the phenomenon of the period-doubling cascade of a resonant spiral tip trajectory is reported.
| Original language | English |
|---|---|
| Pages (from-to) | 4799-4803 |
| Number of pages | 5 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 62 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2000 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics