Space curves, anholonomy and nonlinearity

Pramana

Radha Balakrishnan1 2¹ 

[1] The Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India$$

关键词: Nonlinear dynamics;    differential geometry;    space curve;    anholonomy;    geometric phase.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Using classical differential geometry, we discuss the phenomenon of anholonomy that gets associated with a static and a moving curve. We obtain the expressions for the respective geometric phases in the two cases and interpret them. We show that there is a close connection between anholonomy and nonlinearity in a wide class of nonlinear systems.

【 授权许可】

Unknown