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An Overview on Irreversible Port-Hamiltonian Systems [PDF]
Entropy, 2022 A comprehensive overview of the irreversible port-Hamiltonian system’s formulation for finite and infinite dimensional systems defined on 1D spatial domains is provided in a unified manner.
Hector Ramirez, Yann Le Gorrec
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Contact Hamiltonian systems [PDF]
Journal of Mathematical Physics, 2019 In this paper, we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We show how the dissipative dynamics can be interpreted as a Legendrian submanifold, and also prove a coisotropic reduction theorem similar to the one in symplectic mechanics; as a consequence, we get a method to reduce the
Manuel De León, Manuel Lainz
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Coarse-graining Hamiltonian systems using WSINDy [PDF]
Scientific ReportsWeak form equation learning and surrogate modeling has proven to be computationally efficient and robust to measurement noise in a wide range of applications including ODE, PDE, and SDE discovery, as well as in coarse-graining applications, such as ...
Daniel A. Messenger +2 more
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Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization [PDF]
Scientific ReportsHamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki +2 more
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A Symplectic Algorithm for Constrained Hamiltonian Systems
Axioms, 2022 In this paper, a symplectic algorithm is utilized to investigate constrained Hamiltonian systems. However, the symplectic method cannot be applied directly to the constrained Hamiltonian equations due to the non-canonicity.
Jingli Fu +4 more
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ON THE SYMMETRIES OF HAMILTONIAN SYSTEMS [PDF]
International Journal of Modern Physics A, 1995 In this paper we show how the well-known local symmetries of Lagrangian systems, and in particular the diffeomorphism invariance, emerge in the Hamiltonian formulation. We show that only the constraints which are linear in the momenta generate transformations which correspond to symmetries of the corresponding Lagrangian system.
Mukhanov, V., Wipf, A.
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Perturbed Keplerian Hamiltonian Systems
International Journal of Differential Equations, 2023 This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
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Real Hamiltonian forms of Hamiltonian systems [PDF]
The European Physical Journal B, 2004 We introduce the notion of a real form of a Hamiltonian dynamical system in analogy with the notion of real forms for simple Lie algebras. This is done by restricting the complexified initial dynamical system to the fixed point set of a given involution. The resulting subspace is isomorphic (but not symplectomorphic) to the initial phase space. Thus to
G. MARMO +3 more
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Sections of Hamiltonian Systems [PDF]
Regular and Chaotic Dynamics, 2021 A section of a Hamiltonian system is a hypersurface in the phase space of the system, usually representing a set of one-sided constraints (e.g. a boundary, an obstacle or a set of admissible states). In this paper we give local classification results for all typical singularities of sections of regular (non-singular) Hamiltonian systems, a problem ...
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On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]
ITM Web of Conferences, 2019 Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian +2 more
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