### Abstract

We study period-doubling bifurcations in periodically driven two-dimensional flows, which are measure-preserving. We demonstrate on several examples, that this important bifurcation sequence proceeds very similarly and with the same universal constants, as in the Hamiltonian case of two degrees of freedom. This is explained by the fact that the Poincaré map of our models, upon return to any point of their periodic orbits, is (locally) area-preserving, a result which suggests an equivalence of all measures for such bifurcation phenomena in measure-preserving systems.

Original language | English |
---|---|

Pages (from-to) | 379-383 |

Number of pages | 5 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 143 |

Issue number | 8 |

DOIs | |

Publication status | Published - Jan 29 1990 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*143*(8), 379-383. https://doi.org/10.1016/0375-9601(90)90376-Y

**Period-doubling bifurcations in measure-preserving flows.** / Bountis, T.; Drossos, L.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 143, no. 8, pp. 379-383. https://doi.org/10.1016/0375-9601(90)90376-Y

}

TY - JOUR

T1 - Period-doubling bifurcations in measure-preserving flows

AU - Bountis, T.

AU - Drossos, L.

PY - 1990/1/29

Y1 - 1990/1/29

N2 - We study period-doubling bifurcations in periodically driven two-dimensional flows, which are measure-preserving. We demonstrate on several examples, that this important bifurcation sequence proceeds very similarly and with the same universal constants, as in the Hamiltonian case of two degrees of freedom. This is explained by the fact that the Poincaré map of our models, upon return to any point of their periodic orbits, is (locally) area-preserving, a result which suggests an equivalence of all measures for such bifurcation phenomena in measure-preserving systems.

AB - We study period-doubling bifurcations in periodically driven two-dimensional flows, which are measure-preserving. We demonstrate on several examples, that this important bifurcation sequence proceeds very similarly and with the same universal constants, as in the Hamiltonian case of two degrees of freedom. This is explained by the fact that the Poincaré map of our models, upon return to any point of their periodic orbits, is (locally) area-preserving, a result which suggests an equivalence of all measures for such bifurcation phenomena in measure-preserving systems.

UR - http://www.scopus.com/inward/record.url?scp=45149136251&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45149136251&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(90)90376-Y

DO - 10.1016/0375-9601(90)90376-Y

M3 - Article

AN - SCOPUS:45149136251

VL - 143

SP - 379

EP - 383

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 8

ER -