Yajima, T.Hiroyuki and Nagahama, Hiroyuki (2008) Nonlinear dynamical systems and KCC-theory. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (1). pp. 179-189. ISSN 0866-0174
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Abstract
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).
| Item Type: | Article |
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| Uncontrolled Keywords: | Nonlinear dynamical systems, Rikitate system, KCC-theory, Finsler geometry, topological invariant |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 01 Feb 2024 11:40 |
| Last Modified: | 01 Feb 2024 11:40 |
| URI: | http://real.mtak.hu/id/eprint/186985 |
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