We show that the generalized Yang–Mills system with Hamiltonian H=(p12+p22)/2+V(q1,q2) where V=1/2(aq12+bq22)+(cq14+2eq12q22+dq24)/4 is not completely integrable Darboux first integrals.

Port-based network modeling of physical systems directly leads to their representation as portHamiltonian systems. Key feature of port-Hamiltonian systems is that the power-conserving interconnection of port-Hamiltonian systems results in another port-Hamiltonian system, with total state space the product of the state spaces of the components, total Hamiltonian being the sum of the Hamiltonian ...

Port-based network modeling of physical systems directly leads to their representation as portHamiltonian systems. Key feature of port-Hamiltonian systems is that the power-conserving interconnection of port-Hamiltonian systems results in another port-Hamiltonian system, with total state space the product of the state spaces of the components, total Hamiltonian being the sum of the Hamiltonian ...

In parity-time-symmetric (PT-symmetric) Hamiltonian theory, the optimal evolution time can be reduced drastically and can even be zero. In this article, we report our experimental simulation of the fast evolution of a PT-symmetric Hamiltonian in a nuclear magnetic resonance quantum system. The experimental results demonstrate that the PT-symmetric Hamiltonian system can indeed evolve much faste...