Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems

Mancho, Ana María and Wiggins, Stephen and Curbelo, Jezabel and Mendoza Parra, Carolina Andrea (2013). Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems. In: "66th Annual Meeting of the APS Division of Fluid Dynamics", 24/11/2013 - 26/11/2013, Pittsburgh, Pennsylvania, USA. p. 1.

Description

Title: Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
Author/s:
  • Mancho, Ana María
  • Wiggins, Stephen
  • Curbelo, Jezabel
  • Mendoza Parra, Carolina Andrea
Item Type: Presentation at Congress or Conference (Other)
Event Title: 66th Annual Meeting of the APS Division of Fluid Dynamics
Event Dates: 24/11/2013 - 26/11/2013
Event Location: Pittsburgh, Pennsylvania, USA
Title of Book: Bulletin of the American Physical Society
Date: 2013
Volume: 58
Subjects:
Faculty: E.T.S.I. Navales (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Lagrangian descriptors are a recent technique which reveals geometrical structures in phase space and which are valid for aperiodically time dependent dynamical systems. We discuss a general methodology for constructing them and we discuss a "heuristic argument" that explains why this method is successful. We support this argument by explicit calculations on a benchmark problem. Several other benchmark examples are considered that allow us to assess the performance of Lagrangian descriptors with both finite time Lyapunov exponents (FTLEs) and finite time averages of certain components of the vector field ("time averages"). In all cases Lagrangian descriptors are shown to be both more accurate and computationally efficient than these methods.

More information

Item ID: 33307
DC Identifier: http://oa.upm.es/33307/
OAI Identifier: oai:oa.upm.es:33307
Official URL: http://meetings.aps.org/Meeting/DFD13/Session/G35.4
Deposited by: Memoria Investigacion
Deposited on: 19 May 2015 16:51
Last Modified: 19 May 2015 16:51
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