Results 261 to 270 of about 259,006 (285)
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Journal of Physics A: Mathematical and General, 1990
The lift of a closed 2-form Omega on a manifold Q to a closed 2-form on TQ may be achieved by pulling back the canonical symplectic structure on T*Q by the bundle map Omega : TQ to T*Q. It is also known how to lift a Poisson structure on Q to a Poisson structure on TQ. The author calls these lifted structures 'tangent' structures. The notion of a Dirac
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The lift of a closed 2-form Omega on a manifold Q to a closed 2-form on TQ may be achieved by pulling back the canonical symplectic structure on T*Q by the bundle map Omega : TQ to T*Q. It is also known how to lift a Poisson structure on Q to a Poisson structure on TQ. The author calls these lifted structures 'tangent' structures. The notion of a Dirac
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Dirac structures on protobialgebroids
Science in China Series A: Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yin, Yanbin, He, Longguang
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Dirac-nijenhuis structures on lie bialgebroids
Reports on Mathematical Physics, 2005The authors study necessary and sufficient conditions for a structure to be a Dirac Nijenhuis structure. This work is a continuation of a preceeding paper where the authors gave a compatibility condition for Dirac structures and Nijenhuis tensors on manifolds. The authors generalize the notion of Dirac Nijenhuis structures for Lie bialgebroids.
Liu, Baokang, He, Longguang
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2001
The Courant bracket defined originally on the sections of the vector bundle $TM \oplus T^*M \to M$ is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows to interpret many structures encountered in differential geometry in terms of Dirac structures. We give here a new approach to conformal Jacobi structures.
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The Courant bracket defined originally on the sections of the vector bundle $TM \oplus T^*M \to M$ is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows to interpret many structures encountered in differential geometry in terms of Dirac structures. We give here a new approach to conformal Jacobi structures.
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Boundary Integrability of Multiple Stokes--Dirac Structures
SIAM Journal on Control and Optimization, 2015The paper under review deals with a so-called distributed port-Hamiltonian system (DPH). This is defined in terms of a Stokes-Dirac structure which allows to define boundary integrability in terms of Stokes' theorem; this also gives a framework for the passivity-based boundary controls (this is the main subject of this paper).
Nishida, Gou +2 more
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Interconnection and composition of Dirac structures for Lagrange-Dirac systems
IEEE Conference on Decision and Control and European Control Conference, 2011There is much known on the port-Hamiltonian theory of interconnection of Dirac structures through shared variables. This interconnection is known as Composition of Dirac structures. In this paper, we will show an alternative interconnection of Dirac structures called Bowtie interconnection in the context of Lagrange-Dirac dynamical systems.
Henry O. Jacobs, Hiroaki Yoshimura
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Nuclear structure with Dirac phenomenology
Physics Reports, 1994Abstract With non-relativistic Bonn A G matrix elements, it appears that the spin-orbit interaction in a nucleus is too small. As a consequence the wave functions in the 0 p shell are too close to the LS limit. The introduction of a Dirac nucleon effective mass m ∗ less than the free mass enhances the spin-orbit interaction and ...
L. Zamick, D.C. Zheng
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Band Engineering of Dirac Semimetals Using Charge Density Waves
Advanced Materials, 2021Shiming Lei +2 more
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Weyl and Dirac semimetals in three-dimensional solids
Reviews of Modern Physics, 2018Eugene J Mele, Ashvin Vishwanath
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