Lagrangian and Hamiltonian Dynamics on Para-Kaehlerian Space Form

Complex Lagrangian mechanics with constraints

In this study, it is generalized the concept of Lagrangian mechanics with constraints to complex case. To be beginning, it is considered a Kaehlerian manifold as a velocity-phase space. Then a non-holonomic constraint is given by 1-form on it. If the form is closed, it is found that the constraint is (locally) holonomic. In the result, complex analogous of some topics in constrained Lagrangian mechanical system is concluded.

Applications over Complex Lagrangians

In this paper, Lagrangian formalisms of Classical Mechanics was deduced on Kaehlerian manifold being geometric model of a generalized Lagrange space.Then, it was given two applications of complex Euler-Lagrange equations on mechanics system.

Constrained Paracomplex Mechanical Systems

In this study, it is introduced paracomplex analogue of Lagrangians and Hamiltonians with constraints in the framework of para-Kaehlerian manifolds. The geometrical and mechanical results on the constrained mechanical system have also been discussed.

利用广义坐标下的拉格朗日动力学推导欧拉方程

Euler's Equation via Lagrangian Dynamics with Generalized Coordinates

本文借助拉格朗日动力学，分别用3-2-1、3-1-3欧拉角和单位四元数参数化角速度，从而以广义坐标形式推导出刚体欧拉方程。