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

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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Bibliographic Details
Main Authors: Yuma Hirakui, Takahiro Yajima
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
KCC theory
Hamiltonian system
point vortex
cotangent bundle
Online Access:https://www.mdpi.com/2227-7390/13/1/126
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