Work

Adiabatic Invariant Actions for Partially Integrable Systems

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.38961

Authors: Karim, Amir Khodaeian, Kourliouros, Konstantinos, Turaev, Dmitry

Institution: Imperial College London

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Imperial College London, Engineering and Physical Sciences Research Council

Award: Attractors in random dynamical systems with bounded noise: persistence, resilience and bifurcations

OpenAlex ID: W7215067245

Cites:

Cited by:

Related to: 10