Adiabatic Invariant Actions for Partially Integrable Systems

Amir Khodaeian Karim; Konstantinos Kourliouros; Dmitry Turaev

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arXiv · 2609.38961

Adiabatic Invariant Actions for Partially Integrable Systems

Amir Khodaeian Karim·Konstantinos Kourliouros·Dmitry Turaev

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Abstract

We introduce action integrals for partially integrable Hamiltonian systems that interpolate between the non-integrable and completely integrable theory. We show that under the assumption of ergodicity of the Hamiltonian system on the common level sets of its integrals, these actions become constants of motion for the averaged dynamics and, consequently, adiabatic invariants when the Hamiltonian function is allowed to slowly change with time.

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BibTeX RIS

Amir Khodaeian Karim, Konstantinos Kourliouros, Dmitry Turaev. 2026-09-30. Adiabatic Invariant Actions for Partially Integrable Systems. https://arxiv.org/abs/2609.38961

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