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math.DS2021
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…
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…