3 papers
math.DS2012
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…
math-ph2012
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…
math.DG2012
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…