Results 1 to 10 of about 24,687,007 (292)
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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Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems [PDF]
Science Advances, 2019 Nonlinear Hamiltonian systems search optimal solutions exploiting their adiabatic and chaotic evolutions. Combinatorial optimization problems are ubiquitous but difficult to solve.
Hayato Goto +2 more
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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
Lainz Valcázar, Manuel +1 more
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Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order [PDF]
Physical Review Letters, 2019 We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the double-copy ...
Clifford Cheung +2 more
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Floquet Hamiltonian engineering of an isolated many-body spin system [PDF]
Science, 2021 Description Shaping the Hamiltonian Ultracold atoms have proven to be a versatile setting for simulating more complicated quantum systems. However, the type of the simulated Hamiltonian usually cannot be changed once the system has been engineered ...
Sebastian Geier +2 more
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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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Symplectic integration of learned Hamiltonian systems [PDF]
Chaos, 2021 Hamiltonian systems are differential equations that describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation laws.
Christian Offen, Sina Ober-Blobaum
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Control of port-Hamiltonian differential-algebraic systems and applications
Acta Numerica, 2023 We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in numerical simulation and control. The structure is ideal for automated network-based modelling since it is invariant under power-conserving interconnection ...
V. Mehrmann, B. Unger
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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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Stochastic Port-Hamiltonian Systems
Journal of Nonlinear Science, 2022 AbstractIn the present work we formally extend the theory of port-Hamiltonian systems to include random perturbations. In particular, suitably choosing the space of flow and effort variables we will show how several elements coming from possibly different physical domains can be interconnected in order to describe a dynamic system perturbed by general ...
Cordoni F. +3 more
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