Roads to turbulence in dissipative dynamical systems
- 1 October 1981
- journal article
- research article
- Published by American Physical Society (APS) in Reviews of Modern Physics
- Vol. 53 (4), 643-654
- https://doi.org/10.1103/revmodphys.53.643
Abstract
Three scenarios leading to turbulence in theory and experiment are outlined. The respective mathematical theories are explained and compared.Keywords
This publication has 50 references indexed in Scilit:
- Period doubling bifurcations for families of maps on ℝ nJournal of Statistical Physics, 1981
- Scaling for External Noise at the Onset of ChaosPhysical Review Letters, 1981
- Universal properties of maps on an intervalCommunications in Mathematical Physics, 1980
- The transition to aperiodic behavior in turbulent systemsCommunications in Mathematical Physics, 1980
- Intermittency in Rayleigh-Bénard convectionJournal de Physique Lettres, 1980
- The onset spectrum of turbulencePhysics Letters A, 1979
- The universal metric properties of nonlinear transformationsJournal of Statistical Physics, 1979
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978
- Equilibrium States and the Ergodic Theory of Anosov DiffeomorphismsLecture Notes in Mathematics, 1975
- A theory of nonlinear networks. IQuarterly of Applied Mathematics, 1964