| Autor: |
Awal NM; Department of Chemistry, Brandeis University, Waltham, Massachusetts 02453, USA., Epstein IR; Department of Chemistry, Brandeis University, Waltham, Massachusetts 02453, USA. |
| Jazyk: |
angličtina |
| Zdroj: |
Physical review. E [Phys Rev E] 2021 Aug; Vol. 104 (2-1), pp. 024211. |
| DOI: |
10.1103/PhysRevE.104.024211 |
| Abstrakt: |
Mixed-mode oscillations (MMOs) are a complex dynamical behavior in which each cycle of oscillation consists of one or more large amplitude spikes followed by one or more small amplitude peaks. MMOs typically undergo period-adding bifurcations under parameter variation. We demonstrate here, in a set of three identical, linearly coupled van der Pol oscillators, a scenario in which MMOs exhibit a period-doubling sequence to chaos that preserves the MMO structure, as well as period-adding bifurcations. We characterize the chaotic nature of the MMOs and attribute their existence to a master-slave-like forcing of the inner oscillator by the outer two with a sufficient phase difference between them. Simulations of a single nonautonomous oscillator forced by two sine functions support this interpretation and suggest that the MMO period-doubling scenario may be more general. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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