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The Hamiltonian and Hypohamiltonian of Generalized Petersen Graph (GP_(n,9))
Jambura Journal of MathematicsThe study of Hamiltonian and Hypohamiltonian properties in the generalized Petersen graph GP_{n,k} is interesting due to the unique structure and characteristics of these graphs. The method employed in this study involves searching for Hamiltonian cycles
Susilawati Susilawati +3 more
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Two-Dimensional Hydrodynamics as a Class of Special Hamiltonian Systems
East European Journal of PhysicsThe paper defines a class of Hamiltonian systems whose phase flows are exact solutions of the two-dimensional hydrodynamics of an incompressible fluid. The properties of this class are considered.
Kostyantyn M. Kulyk +1 more
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On the Curvature and Heat Flow on Hamiltonian Systems
Analysis and Geometry in Metric Spaces, 2014 We develop the differential geometric and geometric analytic studies of Hamiltonian systems. Key ingredients are the curvature operator, the weighted Laplacian, and the associated Riccati equation.We prove appropriate generalizations of the Bochner ...
Ohta Shin-ichi
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ASSESSING THE HIERARCHICAL HAMILTONIAN SPLITTING INTEGRATOR FOR COLLISIONLESS N -BODY SIMULATIONS
, 2022 G. Aguilar-Argüello +4 more
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Consistent Hamiltonian reduction
Journal of the Korean Physical Society, 2014 I show that the recently proposed (2+2) Hamiltonian reduction of Einstein's equations of 4-dimensional spacetimes is consistent with general covariance. The consistency proof is {\it extrinsic}, as it follows from the fact that Hamilton's equations derived from the non-zero gravitational Hamiltonian are identical to the Ricci-flat condition of 4 ...
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Extension of Paul Erdős graph on hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis paper introduces ultra non-commutative graphs derived from ultra non-commutative hypergroups. Vertices represent ultra non -commutative elements of the hypergroup U, defined as AU = {x ∈ U |Ǝy ∈ U, y ○ x ∩ x ○ y = ∅}. An edge connects vertices x and
Shamsadini S. +3 more
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Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set [PDF]
, 2015 Yunhyung Cho +2 more
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A hidden constraint on the Hamiltonian formulation of relativistic worldlines [PDF]
, 2019 Benjamin Koch, Enrique Muñoz
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