Kurum Yazarı "Çiftçi, Ünver" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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Cotangent bundle reduction and Poincare-Birkhoff normal forms
Çiftçi, Ünver; Waalkens, Holger; Broer, Henk W. (Elsevier, 2014)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 coordinates enable us to compute Poincare-Birkhoff ... -
A generalization of Lancret's theorem
Çiftçi, Ünver (Elsevier Science Bv, 2009)General helices in a three dimensional Lie group with a bi-invariant metric are defined and a generalization of Lancret's theorem is obtained. We conclude that the so-called spherical images of general helices are plane ... -
Holonomy-reduced dynamics of triatomic molecules
Çiftçi, Ünver; Waalkens, Holger (Iop Publishing Ltd, 2011)Whereas it is easy to reduce the translational symmetry of a molecular system using, e. g., Jacobi coordinates, the situation is much more involved for rotational symmetry. In this paper, we address the latter problem using ... -
Leibniz - Dirac Structures and Nonconservative Systems with Constraints
Çiftçi, Ünver (Amer Inst Mathematical Sciences-Aims, 2013)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 such as gradient and metriplectic systems ... -
A novel measure to analyze protein structures: Aspect ratio in protein alpha shapes
Bağcı, Elife Zerrin; Senguler-Ciftci, F.; Çiftçi, Ünver; Demir, A. (John Wiley and Sons Inc, 2021)Proteins' three-dimensional (3D) structures are analyzed traditionally using geometric descriptors such as torsional angles and inter-atomic distances. In this study a measure that is borrowed from computational geometry, ... -
Phase space structures governing reaction dynamics in rotating molecules
Çiftçi, Ünver; Waalkens, Holger (Iop Publishing Ltd, 2012)Recently, the phase space structures governing reaction dynamics in Hamiltonian systems have been identified and algorithms for their explicit construction have been developed. These phase space structures are induced by ... -
Reaction Dynamics Through Kinetic Transition States
Çiftçi, Ünver; Waalkens, Holger (Amer Physical Soc, 2013)The transformation of a system from one state to another is often mediated by a bottleneck in the system's phase space. In chemistry, these bottlenecks are known as transition states through which the system has to pass ...