4 papers
Ro-Vibrational Hamiltonian of Three Body Systems Near Collinear Configurations
Ünver Çiftçi
Recent developments on three body systems have revealed that dynamics of trajectories passing through collinear configurations can be easily adopted. We analyse the reduction proce…
Cotangent bundle reduction and Poincaré-Birkhoff normal forms
Ünver Çiftçi, Holger Waalkens, Henk Broer
In this paper we study a systematic and natural construction of canonical coordinates for the reduced space of a cotangent bundle with a free Lie group action. The canonical coordi…
Stabilization of reacting systems
Ünver Çiftçi
A feedback stabilization scheme to stabilize a classical reacting Hamiltonian system is proposed. It is based on transforming a saddle-type equilibrium to an asymptotically stable…
Leibniz-Dirac structures and nonconservative systems with constraints
Ünver Çiftçi
Although conservative Hamiltonian systems with constraints can be formulated in terms of Dirac structures, a more general framework is necessary to cover also dissipative systems s…