Hamiltonian mechanics on discrete manifolds

V. Talasila; J.J. Clemente Gallardo; Arjan van der Schaft

Hamiltonian mechanics on discrete manifolds

V. Talasila, J.J. Clemente Gallardo, Arjan van der Schaft

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Abstract

The mathematical/geometric structure of discrete models of systems, whether these models are obtained after discretization of a smooth system or as a direct result of modeling at the discrete level, have not been studied much. Mostly one is concerned regarding the nature of the solutions, but not much has been done regarding the structure of these discrete models. In this paper we provide a framework for the study of discrete models, speci?cally we present a Hamiltonian point of view. To this end we introduce the concept of a discrete calculus.

Original language	English
Title of host publication	Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems
Place of Publication	Leuven
Publisher	Katholieke Universiteit Leuven
Number of pages	22
ISBN (Print)	9056825178
Publication status	Published - 2004
Event	16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 - Leuven, Belgium Duration: 5 Jul 2004 → 9 Jul 2004 Conference number: 16

Conference

Conference	16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004
Abbreviated title	MTNS
Country/Territory	Belgium
City	Leuven
Period	5/07/04 → 9/07/04

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title = "Hamiltonian mechanics on discrete manifolds",

abstract = "The mathematical/geometric structure of discrete models of systems, whether these models are obtained after discretization of a smooth system or as a direct result of modeling at the discrete level, have not been studied much. Mostly one is concerned regarding the nature of the solutions, but not much has been done regarding the structure of these discrete models. In this paper we provide a framework for the study of discrete models, speci?cally we present a Hamiltonian point of view. To this end we introduce the concept of a discrete calculus.",

author = "V. Talasila and {Clemente Gallardo}, J.J. and {van der Schaft}, Arjan",

year = "2004",

language = "English",

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booktitle = "Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems",

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note = "16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004, MTNS ; Conference date: 05-07-2004 Through 09-07-2004",

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T1 - Hamiltonian mechanics on discrete manifolds

AU - Talasila, V.

AU - Clemente Gallardo, J.J.

AU - van der Schaft, Arjan

N1 - Conference code: 16

PY - 2004

Y1 - 2004

N2 - The mathematical/geometric structure of discrete models of systems, whether these models are obtained after discretization of a smooth system or as a direct result of modeling at the discrete level, have not been studied much. Mostly one is concerned regarding the nature of the solutions, but not much has been done regarding the structure of these discrete models. In this paper we provide a framework for the study of discrete models, speci?cally we present a Hamiltonian point of view. To this end we introduce the concept of a discrete calculus.

AB - The mathematical/geometric structure of discrete models of systems, whether these models are obtained after discretization of a smooth system or as a direct result of modeling at the discrete level, have not been studied much. Mostly one is concerned regarding the nature of the solutions, but not much has been done regarding the structure of these discrete models. In this paper we provide a framework for the study of discrete models, speci?cally we present a Hamiltonian point of view. To this end we introduce the concept of a discrete calculus.

M3 - Conference contribution

SN - 9056825178

BT - Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems

PB - Katholieke Universiteit Leuven

CY - Leuven

T2 - 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004

Y2 - 5 July 2004 through 9 July 2004

ER -

Hamiltonian mechanics on discrete manifolds

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