A four-parameter polynomial curl-force Hamiltonian is shown to be Liouville integrable exactly on the locus alpha=-beta, with explicit bi-Hamiltonian, separated, and Lax structures, while Berry's original model fails the Painlevé test.
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Integrable curl-force Hamiltonians: bi-Hamiltonian structure, separability, and periodic orbits
A four-parameter polynomial curl-force Hamiltonian is shown to be Liouville integrable exactly on the locus alpha=-beta, with explicit bi-Hamiltonian, separated, and Lax structures, while Berry's original model fails the Painlevé test.