Nonlinear dynamics and turbulence
Abstract
The problem of the onset of turbulence and the description of developed turbulence are basic problem. The recent development of chaotic motions shows that deterministic systems may have solutions which behave irregularly in time. Hence the investigation of chaos becomes especially important in order to explain the turbulence phenomena. The chaotic turbulent-like behavior is sensitive to initial conditions and unpredictable after long times. The behavior of dissipative systems is very complicated. There are steady attractor, periodic attractor, quasi-periodic attractor, and strange attractor. The topological nature of the attractors may change as the parameter crosses bifurcation point. The chaos would appear after a few bifurcations.
- Publication:
-
Acta Meteorologica Sinica
- Pub Date:
- November 1986
- Bibcode:
- 1986AcMeS..44..464L
- Keywords:
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- Chaos;
- Dynamical Systems;
- Nonlinear Systems;
- Turbulence;
- Branching (Mathematics);
- Strange Attractors;
- Fluid Mechanics and Heat Transfer