Geometrical theory of dynamical systems and fluid flows
Geometrical theory of dynamical systems and fluid flows
复制标题
动力系统和流体流动的几何理论
DOI：
10.1142/5509
复制
发表时间：
2004
影响因子：
1.1
通讯作者：
T. Kambe
中科院分区：
文献类型：
--
作者：
T. Kambe
1. Manifolds, Flows, Lie Groups and Lie Algebras 31.1 Dynamical Systems 31.2 Manifolds and DifFeomorphisms 41.3 Flows and Vector Fields 81.3.1 A steady flow and its velocity field 81.3.2 Tangent vector and differential operator 101.3.3 Tangent space 111.3.4 Time-dependent (unsteady) velocity field 121.4 Dynamical Trajectory 131.4.1 Fiber bundle (tangent bundle) 131.4.2 Lagrangian and Hamiltonian 141.4.3 Legendre transformation 161.5 Differential and Inner Product 181.5.1 Covector (1-form) 181.5.2 Inner (scalar) product 201.6 Mapping of Vectors and Covectors 211.6.1 Push-forward transformation 211.6.2 Pull-back transformation 231.6.3 Coordinate transformation 24
