Caustics in time reversible Hamiltonian systems

James Montaldi; Mark Roberts; Ian N Stewart

Caustics in time reversible Hamiltonian systems

James Montaldi, Mark Roberts (Editor), Ian N Stewart (Editor)

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the projection to configuration space of invariant tori in a timereversible Hamiltonian system at a point of zero momentum. At such pointsthe projection has rank zero and the resulting caustic has a corner. We usecaustic equivalence of Lagrangian mappings to find a normal form for such acorner in 3 degrees of freedom.

Original language	English
Title of host publication	Singularity theory and its applications, Part II
Editors	Mark Roberts, Ian N Stewart
Publisher	Springer Nature
Publication status	Published - 1991
Event	Singularity theory and its applications - University of Warwick Duration: 1 Jan 1988 → 1 Jan 1989

Conference

Conference	Singularity theory and its applications
City	University of Warwick
Period	1/01/88 → 1/01/89

Keywords

Lagrangian projections, invariant tori, caustic

Cite this

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title = "Caustics in time reversible Hamiltonian systems",

abstract = "We consider the projection to configuration space of invariant tori in a timereversible Hamiltonian system at a point of zero momentum. At such pointsthe projection has rank zero and the resulting caustic has a corner. We usecaustic equivalence of Lagrangian mappings to find a normal form for such acorner in 3 degrees of freedom.",

keywords = "Lagrangian projections, invariant tori, caustic",

author = "James Montaldi and Mark Roberts and Stewart, {Ian N}",

year = "1991",

language = "English",

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note = "Singularity theory and its applications ; Conference date: 01-01-1988 Through 01-01-1989",

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AU - Montaldi, James

A2 - Roberts, Mark

A2 - Stewart, Ian N

A2 - Roberts, Mark

A2 - Stewart, Ian N

PY - 1991

Y1 - 1991

N2 - We consider the projection to configuration space of invariant tori in a timereversible Hamiltonian system at a point of zero momentum. At such pointsthe projection has rank zero and the resulting caustic has a corner. We usecaustic equivalence of Lagrangian mappings to find a normal form for such acorner in 3 degrees of freedom.

AB - We consider the projection to configuration space of invariant tori in a timereversible Hamiltonian system at a point of zero momentum. At such pointsthe projection has rank zero and the resulting caustic has a corner. We usecaustic equivalence of Lagrangian mappings to find a normal form for such acorner in 3 degrees of freedom.

KW - Lagrangian projections, invariant tori, caustic

M3 - Conference contribution

BT - Singularity theory and its applications, Part II

PB - Springer Nature

T2 - Singularity theory and its applications

Y2 - 1 January 1988 through 1 January 1989

ER -

Caustics in time reversible Hamiltonian systems

Abstract

Conference

Keywords

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