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

Publikation: Beiträge in SammelwerkenKapitelbegutachtet

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. Hrsg. / Tenreiro J. A. Machado; C.J. Albert Luo; S. Ramiro Barbosa; F. Manuel Silva; B. Lino Figueiredo. Dordrecht: Springer Netherlands, 2011. S. 99-105.

Publikation: Beiträge in SammelwerkenKapitelbegutachtet

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 (Hrsg.), Nonlinear Science and Complexity. Springer Netherlands, Dordrecht, S. 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 (Hrsg.), Nonlinear Science and Complexity (S. 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, Hrsg., Nonlinear Science and Complexity. Dordrecht: Springer Netherlands. 2011. S. 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 -

DOI

Zuletzt angesehen

Publikationen

  1. Positioning Improvement for a Laser Scanning System using cSORPD control
  2. Autonomy of Migration Despite Its Securitisation? Facing the Terms and Conditions of Biometric Rebordering
  3. Simple relay non-linear PD control for faster and high-precision motion systems with friction
  4. Pressure fault recognition and compensation with an adaptive feedforward regulator in a controlled hybrid actuator within engine applications
  5. The professional context as a predictor for response distortion in the Adaption-Innovation-Inventory – An investigation using mixture-distribution item-response theory models
  6. Phosphorus uptake from struvite is modulated by the nitrogen form applied
  7. Optimization of 3D laser scanning speed by use of combined variable step
  8. Markups and Concentration in the Context of Digitization
  9. An observer for sensorless variable valve control in camless internal combustion engines
  10. Internet-based public debate of CCS
  11. Public perceptions of CCS in context
  12. Rapid allocation of temporal attention in the Attentional Blink Paradigm
  13. Determining Lot Sizes in Production Areas
  14. Microstructure-based modeling of residual stresses in WC-12Co-sprayed coatings
  15. On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs
  16. Creating a space for cooperation
  17. Trajectory tracking using MPC and a velocity observer for flat actuator systems in automotive applications
  18. Individual Scans Fusion in Virtual Knowledge Base for Navigation of Mobile Robotic Group with 3D TVS