SEQUENCES OF INFINITE BIFURCATIONS AND TURBULENCE IN A 5-MODE TRUNCATION OF THE NAVIER-STOKES EQUATIONS

被引：100

作者：

FRANCESCHINI, V

TEBALDI, C

机构：

[1] UNIV ANCONA,DIPARTIMENTO MATEMATICO,I-60100 ANCONA,ITALY

[2] UNIV BOLOGNA,IST FIS,I-40126 BOLOGNA,ITALY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1979年 / 21卷 / 06期

关键词：

infinite sequences of periodic orbits; Navier-Stokes equations; Poincarè; map; stable and hyperbolic orbits collapse; strange attractors; turbulence; universal properties in infinite sequences of bifurcations;

D O I：

10.1007/BF01107910

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two infinite sequences of orbits leading to turbulence in a five-mode truncation of the Navier-Stokes equations for a 2-dimensional incompressible fluid on a torus are studied in detail. Their compatibility with Feigenbaum's theory of universality in certain infinite sequences of bifurcations is verified and some considerations on their asymptotic behavior are inferred. An analysis of the Poincaré map is performed, showing how the turbulent behavior is approached gradually when, with increasing Reynolds number, no stable fixed point or periodic orbit is present and all the unstable ones become more and more unstable, in close analogy with the Lorenz model. © 1979 Plenum Publishing Corporation.

引用

页码：707 / 726

页数：20

共 15 条

[1] 5-DIMENSIONAL TRUNCATION OF THE PLANE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].