I. Kozlov

collaborators

3 papers

math.SG2024

Local bi-integrability of bi-Hamiltonian systems, Part II: Real smooth case

I. K. Kozlov

We prove that any bi-Hamiltonian system $v = (A + I^» B) d H_{I^} »$ on a real smooth manifold that is Hamiltonian with respect all Poisson brackets $\left(\…

math.SG2024

Local bi-integrability of bi-Hamiltonian systems via bi-Poisson reduction

I. K. Kozlov

We prove that any bi-Hamiltonian system $v = (A + I^» B) d H_{I^} »$ that is Hamiltonian with respect all Poisson brackets $A + I^» B$ is l…

math.SG2024

Integrability of bi-Hamiltonian systems using Casimir functions and characteristic polynomials

I. K. Kozlov

In this paper we prove that for a pencil of compatible Poisson brackets $P = {A + I^» B}$ the local Casimir functions of Poisson brackets…