Applications of the Kosambi–Cartan–Chern Theory to Hamiltonian Systems on a Cotangent Bundle: Linking Geometric Quantities to the Self-Similar Motions of Three Point Vortices

This study presents a differential geometric framework for Hamiltonian systems expressed in terms of first-order differential equations. For systems governed by second-order ordinary differential equations on tangent bundles, such as Euler–Lagrange systems, the stability of trajectories under pertur...

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Hlavní autoři:	Yuma Hirakui, Takahiro Yajima
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	MDPI AG 2024-12-01
Edice:	Mathematics
Témata:	KCC theory Hamiltonian system point vortex cotangent bundle
On-line přístup:	https://www.mdpi.com/2227-7390/13/1/126
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