Abstract
In many common nonlinear dynamical systems depending on a parameter, it is shown that periodic orbit creating cascades must be accompanied by periodic orbit annihilating cascades as the parameter is varied. Moreover, reversals from a periodic orbit creating cascade to a periodic orbit annihilating one must occur infinitely often in the vicinity of certain common parameter values. It is also demonstrated that these inevitable reversals are indeed observable in specific chaotic systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 249-254 |
| Number of pages | 6 |
| Journal | Physics Letters A |
| Volume | 162 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 10 1992 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Dawson, S. P., Grebogi, C., Yorke, J. A., Kan, I., & Koçak, H. (1992). Antimonotonicity: inevitable reversals of period-doubling cascades. Physics Letters A, 162(3), 249-254. https://doi.org/10.1016/0375-9601(92)90442-O