Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component
Markus Kunze, David Stuart
TL;DR
This paper establishes exponential stability results similar to Nekhoroshev's theorem for Hamiltonian systems near an elliptic fixed point, even when an extra transverse component of any dimension is present.
Contribution
It extends Nekhoroshev stability results to Hamiltonian systems with an additional transverse component of arbitrary dimension.
Findings
Proves exponential stability near elliptic fixed points with transverse components
Generalizes Nekhoroshev stability to higher-dimensional transverse components
Provides mathematical conditions for stability in complex Hamiltonian systems
Abstract
We prove exponential stability theorems of Nekhoroshev type for motion in the neighbourhood of an elliptic fixed point in Hamiltonian systems having an additional transverse component of arbitrary dimension.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Advanced Mathematical Physics Problems · Numerical methods for differential equations