3 papers
math.DS2025
Geometric Dynamical Systems
Ghorbanali Haghighatdoost
This article provides a conceptual and historical review of the evolution of integrable Hamiltonian systems from the Moscow School of A. T. Fomenko to the emerging Azarbaijan Schoo…
math.OC2024
Optimal control problems on the co-adjoint Lie groupoids
Ghorbanali Haghighatdoost
In this work we study the invariant optimal control problem on Lie groupoids. We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie alg…
math.DS2024
A note on integrabiliy of Hamiltonian systems on the co-adjoint Lie groupoids
Ghorbanali Haghighatdoost, Rezvaneh Ayoubi
As we said in our previous work [4], the main idea of our research is to introduce a class of Lie groupoids by means of co-adjoint representation of a Lie groupoid on its isotropy…