Nonlinear dynamical systems and KCC-theory

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

T. Yajima¹  Hiroyuki Nagahama¹ 

关键词: topological invariant;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

Nonlinear dynamical systems can be uniquely investigated by a geometric theory (KCC-theory). The five KCC-invariants express intrinsic properties of the nonlinear dynamical systems. The second invariant as a curvature tensor determines the stability of the systems. The third invariant as a torsion tensor expresses the chaotic behavior. As an example, the KCC-theory is applied to a geodynamical system (the Rikitake system).

【 授权许可】

Unknown