Stable and unstable variant manifolds in a partially chaotic magnetic configuration generated by nonlinear reconnection

D. Borgogno; D. Grasso; F. Pegoraro; T.J. Schep

doi:10.1063/1.2999539

Stable and unstable variant manifolds in a partially chaotic magnetic configuration generated by nonlinear reconnection

D. Borgogno, D. Grasso, F. Pegoraro, T.J. Schep

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Abstract

A numerical contour dynamics code has been employed to calculate the stable and unstable manifolds related to two interacting magnetic island chains. The magnetic configuration is generated by a nonlinear reconnection process described in D. Borgogno et al. [Phys. Plasmas. 12, 032309 (2005)]. The appearance of the first homoclinic and heteroclinic intersections of the dominant manifolds are shown and one of the associated uniformly hyperbolic orbits is given. The stickiness of the field lines around the island and the eventual development of global stochasticity are discussed. The basic geometry of the magnetic configuration is periodic so that the structure of the manifolds may be compared with the one obtained with Poincaré plots.

Original language	English
Pages (from-to)	102308-1/7
Number of pages	7
Journal	Physics of Plasmas
Volume	15
Issue number	10
DOIs	https://doi.org/10.1063/1.2999539
Publication status	Published - 2008

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title = "Stable and unstable variant manifolds in a partially chaotic magnetic configuration generated by nonlinear reconnection",

abstract = "A numerical contour dynamics code has been employed to calculate the stable and unstable manifolds related to two interacting magnetic island chains. The magnetic configuration is generated by a nonlinear reconnection process described in D. Borgogno et al. [Phys. Plasmas. 12, 032309 (2005)]. The appearance of the first homoclinic and heteroclinic intersections of the dominant manifolds are shown and one of the associated uniformly hyperbolic orbits is given. The stickiness of the field lines around the island and the eventual development of global stochasticity are discussed. The basic geometry of the magnetic configuration is periodic so that the structure of the manifolds may be compared with the one obtained with Poincar{\'e} plots.",

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AU - Borgogno, D.

AU - Grasso, D.

AU - Pegoraro, F.

AU - Schep, T.J.

PY - 2008

Y1 - 2008

N2 - A numerical contour dynamics code has been employed to calculate the stable and unstable manifolds related to two interacting magnetic island chains. The magnetic configuration is generated by a nonlinear reconnection process described in D. Borgogno et al. [Phys. Plasmas. 12, 032309 (2005)]. The appearance of the first homoclinic and heteroclinic intersections of the dominant manifolds are shown and one of the associated uniformly hyperbolic orbits is given. The stickiness of the field lines around the island and the eventual development of global stochasticity are discussed. The basic geometry of the magnetic configuration is periodic so that the structure of the manifolds may be compared with the one obtained with Poincaré plots.

AB - A numerical contour dynamics code has been employed to calculate the stable and unstable manifolds related to two interacting magnetic island chains. The magnetic configuration is generated by a nonlinear reconnection process described in D. Borgogno et al. [Phys. Plasmas. 12, 032309 (2005)]. The appearance of the first homoclinic and heteroclinic intersections of the dominant manifolds are shown and one of the associated uniformly hyperbolic orbits is given. The stickiness of the field lines around the island and the eventual development of global stochasticity are discussed. The basic geometry of the magnetic configuration is periodic so that the structure of the manifolds may be compared with the one obtained with Poincaré plots.

U2 - 10.1063/1.2999539

DO - 10.1063/1.2999539

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SP - 102308-1/7

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 10

ER -

Stable and unstable variant manifolds in a partially chaotic magnetic configuration generated by nonlinear reconnection

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