Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem

Research output: Contributions to collected editions/worksChapterpeer-review

Standard

Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. / Dellnitz, Michael; Padberg, Kathrin; Preis, Robert et al.
Nonlinear Science and Complexity. ed. / Tenreiro J. A. Machado; C.J. Albert Luo; S. Ramiro Barbosa; F. Manuel Silva; B. Lino Figueiredo. Dordrecht: Springer Netherlands, 2011. p. 99-105.

Research output: Contributions to collected editions/worksChapterpeer-review

Harvard

Dellnitz, M, Padberg, K, Preis, R & Thiere, B 2011, Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. in TJA Machado, CJA Luo, SR Barbosa, FM Silva & BL Figueiredo (eds), Nonlinear Science and Complexity. Springer Netherlands, Dordrecht, pp. 99-105. https://doi.org/10.1007/978-90-481-9884-9_12

APA

Dellnitz, M., Padberg, K., Preis, R., & Thiere, B. (2011). Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In T. J. A. Machado, C. J. A. Luo, S. R. Barbosa, F. M. Silva, & B. L. Figueiredo (Eds.), Nonlinear Science and Complexity (pp. 99-105). Springer Netherlands. https://doi.org/10.1007/978-90-481-9884-9_12

Vancouver

Dellnitz M, Padberg K, Preis R, Thiere B. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In Machado TJA, Luo CJA, Barbosa SR, Silva FM, Figueiredo BL, editors, Nonlinear Science and Complexity. Dordrecht: Springer Netherlands. 2011. p. 99-105 doi: 10.1007/978-90-481-9884-9_12

Bibtex

@inbook{b51f8f272c8944be87a0aa3589013656,
title = "Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem",
abstract = "In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields, in particular in astrodynamics. In this contribution we will focus on the numerical detection and approximation of transport barriers in the solar system. For this we consider and combine several techniques for the mathematical treatment of transport processes—using both continuous concepts from dynamical systems theory and discrete ideas from graph theory. For the demonstration of our results we consider the planar circular restricted three body problem with Sun and Jupiter as primaries, a simple model for describing the motion of asteroids in the solar system.",
keywords = "Mathematics, Transport Barriers, Dynamical Systems, Almost invariant sets, Invariant manifolds, Expansion",
author = "Michael Dellnitz and Kathrin Padberg and Robert Preis and Bianca Thiere",
year = "2011",
doi = "10.1007/978-90-481-9884-9_12",
language = "English",
isbn = "978-90-481-9883-2",
pages = "99--105",
editor = "Machado, {Tenreiro J. A.} and Luo, {C.J. Albert} and Barbosa, {S. Ramiro} and Silva, {F. Manuel} and Figueiredo, {B. Lino}",
booktitle = "Nonlinear Science and Complexity",
publisher = "Springer Netherlands",
address = "Netherlands",

}

RIS

TY - CHAP

T1 - Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem

AU - Dellnitz, Michael

AU - Padberg, Kathrin

AU - Preis, Robert

AU - Thiere, Bianca

PY - 2011

Y1 - 2011

N2 - In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields, in particular in astrodynamics. In this contribution we will focus on the numerical detection and approximation of transport barriers in the solar system. For this we consider and combine several techniques for the mathematical treatment of transport processes—using both continuous concepts from dynamical systems theory and discrete ideas from graph theory. For the demonstration of our results we consider the planar circular restricted three body problem with Sun and Jupiter as primaries, a simple model for describing the motion of asteroids in the solar system.

AB - In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields, in particular in astrodynamics. In this contribution we will focus on the numerical detection and approximation of transport barriers in the solar system. For this we consider and combine several techniques for the mathematical treatment of transport processes—using both continuous concepts from dynamical systems theory and discrete ideas from graph theory. For the demonstration of our results we consider the planar circular restricted three body problem with Sun and Jupiter as primaries, a simple model for describing the motion of asteroids in the solar system.

KW - Mathematics

KW - Transport Barriers

KW - Dynamical Systems

KW - Almost invariant sets

KW - Invariant manifolds

KW - Expansion

UR - http://www.scopus.com/inward/record.url?scp=84895246623&partnerID=8YFLogxK

U2 - 10.1007/978-90-481-9884-9_12

DO - 10.1007/978-90-481-9884-9_12

M3 - Chapter

SN - 978-90-481-9883-2

SP - 99

EP - 105

BT - Nonlinear Science and Complexity

A2 - Machado, Tenreiro J. A.

A2 - Luo, C.J. Albert

A2 - Barbosa, S. Ramiro

A2 - Silva, F. Manuel

A2 - Figueiredo, B. Lino

PB - Springer Netherlands

CY - Dordrecht

ER -