Limit cycles in locally Hamiltonian systems with dissipation

Fernando Castaños; Dmitry Gromov

doi:10.1016/j.ifacol.2021.11.077

Limit cycles in locally Hamiltonian systems with dissipation

Fernando Castaños^*
, Dmitry Gromov

^*Šī darba korespondējošais autors

Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
St. Petersburg State University

Zinātniskās darbības rezultāts: Devums žurnālam › Konferences zinātniskais raksts › koleģiāli recenzēts

Kopsavilkums

We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	192-197
Lapu skaits	6
Žurnāls	IFAC-PapersOnLine
Sējums	54
Izdevuma numurs	19
DOIs	https://doi.org/10.1016/j.ifacol.2021.11.077
Publikācijas statuss	Publicēts - 2021
Ārēji publicēts	Jā
Pasākums	7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Berlin, Vācija Ilgums: 11 okt. 2021 → 13 okt. 2021

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title = "Limit cycles in locally Hamiltonian systems with dissipation",

abstract = "We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.",

keywords = "Discontinuous Hamiltonian, Limit cycles, Locally Hamiltonian systems, Passivity, Port-Hamiltonian systems, Symplectic systems",

author = "Fernando Casta{\~n}os and Dmitry Gromov",

note = "Publisher Copyright: {\textcopyright} The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 ; Conference date: 11-10-2021 Through 13-10-2021",

year = "2021",

doi = "10.1016/j.ifacol.2021.11.077",

language = "English",

volume = "54",

pages = "192--197",

journal = "IFAC-PapersOnLine",

issn = "2405-8971",

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number = "19",

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TY - JOUR

T1 - Limit cycles in locally Hamiltonian systems with dissipation

AU - Castaños, Fernando

AU - Gromov, Dmitry

N1 - Publisher Copyright: © The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

PY - 2021

Y1 - 2021

N2 - We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.

AB - We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.

KW - Discontinuous Hamiltonian

KW - Limit cycles

KW - Locally Hamiltonian systems

KW - Passivity

KW - Port-Hamiltonian systems

KW - Symplectic systems

UR - https://www.scopus.com/pages/publications/85121007003

U2 - 10.1016/j.ifacol.2021.11.077

DO - 10.1016/j.ifacol.2021.11.077

M3 - Conference article

AN - SCOPUS:85121007003

SN - 2405-8971

VL - 54

SP - 192

EP - 197

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 19

T2 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021

Y2 - 11 October 2021 through 13 October 2021

ER -

Limit cycles in locally Hamiltonian systems with dissipation

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