TY  - JOUR
T1  - EULER-LAGRANGIAN DYNAMICAL SYSTEMS WITH RESPECT TO HORIZONTAL AND VERTICAL LIFTS ON TANGENT BUNDLE
AU  - Çayır, Haşim
PY  - 2019
DA  - December
JF  - Sigma Journal of Engineering and Natural Sciences
JO  - SIGMA
PB  - Yildiz Technical University
WT  - DergiPark
SN  - 1304-7191
SP  - 1292
EP  - 1300
VL  - 37
IS  - 4
LA  - en
AB  - The differential geometry and mahthematical physics has lots of applications. The Euler-Lagrangian mechanics are very important tools for differential geometry, classical and analytical machanics. There are many studies about Euler-Lagrangian dynamics, mechanics, formalisms, systems and equations. The classic mechanics firstly introduced by J. L. Lagrange in 1788. Because of the investigation of tensorial structures on manifolds and extension by using the lifts to the tangent or cotangent bundle, it is possible to generalize to differentiable structures on any space (resp. manifold) to extended spaces (resp. extended manifolds) [5, 6, 9]. In this study, the Euler-Lagrangian theories, which are mathematical models of mechanical systems are structured on the horizontal and the vertical lifts of an almost complex structure in tangent bundle   In the end, the geometrical and physical results related to Euler-Lagrangian dynamical systems are concluded.
KW  - Euler-Lagrangian equations
KW  - dynamical systems
KW  - horizontal lift
KW  - vertical lift
KW  - tangent bundle.
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UR  - https://dergipark.org.tr/en/pub/sigma/article/1010476
L1  - https://dergipark.org.tr/en/download/article-file/2029900
ER  -