Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
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A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]
We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P. +8 more
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On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems [PDF]
Based on a geometric interpretation of nonlinear balanced reduction some implications of this approach are analyzed in the case of collocated port-Hamiltonian systems which have a certain balance in its structure.
Ricardo Lopezlena +6 more
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Second Hamiltonian Cycles in Claw-Free Graphs
Sheehan conjectured in 1975 that every Hamiltonian regular simple graph of even degree at least four contains a second Hamiltonian cycle. We prove that most claw-free Hamiltonian graphs with minimum degree at least 3 have a second Hamiltonian cycle and ...
Hossein Esfandiari +3 more
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Finite temperature negativity Hamiltonians of the massless Dirac fermion
The negativity Hamiltonian, defined as the logarithm of a partially transposed density matrix, provides an operatorial characterisation of mixed-state entanglement.
Federico Rottoli +2 more
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Bifurcation analysis of ion-acoustic waves in an adiabatic trapped electron and warm ion plasma
Bifurcation analysis of ion-acoustic waves in complex plasmas in the presence of adiabatic trapped electrons and warm ions is studied. Using bifurcation theory of dynamical structure, the Hamiltonian system inculpated electrostatic potential is derived ...
Alireza Abdikian +2 more
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Invertor as a virtual synchronous generator (VSG) to provide virtual inertia and damping can improve the stability of a microgrid, in which the damping is one of the fundamental problems in dynamics.
Yun Zeng +4 more
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A First Class Constraint Generates Not a Gauge Transformation, But a Bad Physical Change: The Case of Electromagnetism [PDF]
In Dirac-Bergmann constrained dynamics, a first-class constraint typically does not _alone_ generate a gauge transformation. By direct calculation it is found that each first-class constraint in Maxwell's theory generates a change in the electric field ...
Pitts, J. Brian, J. Brian Pitts
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Energy-Storage Balanced Reduction of Port-Hamiltonian Systems [PDF]
Supported by the framework of dissipativity theory, a procedure based on physical energy to balance and reduce port-Hamiltonian systems with collocated inputs and outputs is presented.
Fujimoto, Kenji +9 more
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Entanglement entropy in quantum spin chains with broken parity number symmetry
Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, this Hamiltonian is no longer a quadratic Hamiltonian after JW ...
Arash Jafarizadeh, M. A. Rajabpour
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