50 citations · 54 across the 6 of their papers we have counts for
6 papers
Reaction-Diffusion Systems as Complex Networks
Marko Seslija, Jacquelien M. A. Scherpen, Arjan van der Schaft
The spatially distributed reaction networks are indispensable for the understanding of many important phenomena concerning the development of organisms, coordinated cell behavior,…
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…
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…
Discrete Exterior Geometry Approach to Structure-Preserving Discretization of Distributed-Parameter Port-Hamiltonian Systems
Marko Seslija, Arjan van der Schaft, Jacquelien M. A. Scherpen
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior…