On partial differential equations related to Lorenz system
On partial differential equations related to Lorenz system
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DOI：
10.1063/1.527465
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发表时间：
1987-07
影响因子：
1.3
通讯作者：
D. Hsieh
中科院分区：
文献类型：
--
作者：
D. Hsieh
构造偏微分方程，使得Lorenz [J. Atmos. Sci. 20，130（1963）]将导致洛伦兹方程。偏微分方程比Rayleigh-Bernard问题简单得多，基本上是混合型的。偏微分方程的各个方面进行了探讨。有人建议，在椭圆和双曲制度之间来回切换表示的偏微分方程的上下文中的系统的混沌行为。
Partial differential equations are constructed such that a truncation scheme as adopted by Lorenz [J. Atmos. Sci. 20, 130 (1963)] will lead to Lorenz equations. The partial differential equations are much simpler than those of the Rayleigh–Bernard problem and are essentially of the mixed type. Various aspects of the partial differential equations are explored. It is suggested that the switching back and forth between the elliptic and hyperbolic regimes represents the chaotic behavior of the system in the context of partial differential equations.