most citedGenerating functions for irreversible Hamiltonian systems

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math-ph20241 cited

Generating functions for irreversible Hamiltonian systems

Dan Goreac, Jonas Kirchhoff, Bernhard Maschke

The definition of conservative-irreversible functions is extended to smooth manifolds. The local representation of these functions is studied and reveals that not each conservative…

math.AP2024

Jet space extensions of infinite-dimensional Hamiltonian systems

Till Preuster, Manuel Schaller, Bernhard Maschke

We analyze infinite-dimensional Hamiltonian systems corresponding to partial differential equations on one-dimensional spatial domains formulated with formally skew-adjoint Hamilto…

math.NA2023

Discrete gradient methods for irreversible port-Hamiltonian systems

Alexandre Anahory Simoes, David Martín de Diego, Bernhard Maschke

In this paper we introduce discrete gradient methods to discretize irreversible port-Hamiltonian systems showing that the main qualitative properties of the continuous system are p…

math.DS2023

On the Generating Functions of Irreversible port-Hamiltonian Systems

Jonas Kirchhoff, Bernhard Maschke

We study the geometric structure of the drift dynamics of Irreversible port-Hamiltonian systems. This drift dynamics is defined with respect to a product of quasi-Poisson brackets,…

math.DS2023

Port maps of Irreversible Port Hamiltonian Systems

Bernhard Maschke, Jonas Kirchhoff

Irreversible Port Hamiltonian Systems are departure of Port Hamiltonian Systems as they are generated not only by a Hamiltonian function but also by an entropy function and defined…

math.AP2023

A case study of port-Hamiltonian systems with a moving interface

Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1

We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and p…