149 citations · 316 across the 44 of their papers we have counts for
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Hamiltonian Perspective on Compartmental Reaction-Diffusion Networks
Marko Seslija, Arjan van der Schaft, Jacquelien M. A. Scherpen
Inspired by the recent developments in modeling and analysis of reaction networks, we provide a geometric formulation of the reversible reaction networks under the influence of dif…
A Graph-Theoretical Approach for the Analysis and Model Reduction of Complex-Balanced Chemical Reaction Networks
Shodhan Rao, Arjan van der Schaft, Bayu Jayawardhana
In this paper we derive a compact mathematical formulation describing the dynamics of chemical reaction networks that are complex-balanced and are governed by mass action kinetics.…
Explicit Simplicial Discretization of Distributed-Parameter Port-Hamiltonian Systems
Marko Seslija, Jacquelien M. A. Scherpen, Arjan van der Schaft
Simplicial Dirac structures as finite analogues of the canonical Stokes-Dirac structure, capturing the topological laws of the system, are defined on simplicial manifolds in terms…
Reduction of Stokes-Dirac structures and gauge symmetry in port-Hamiltonian systems
Marko Seslija, Arjan van der Schaft, Jacquelien M. A. Scherpen
Stokes-Dirac structures are infinite-dimensional Dirac structures defined in terms of differential forms on a smooth manifold with boundary. These Dirac structures lay down a geome…
Port-Hamiltonian systems on discrete manifolds
Marko Seslija, Jacquelien M. A. Scherpen, Arjan van der Schaft
This paper offers a geometric framework for modeling port-Hamiltonian systems on discrete manifolds. The simplicial Dirac structure, capturing the topological laws of the system, i…