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Memorias de investigación
Communications at congresses:
Lagrangian Descriptors: A Method for Revealing Phase Space Structures of General Time Dependent Dynamical Systems
Year:2013
Research Areas
  • Mathematics,
  • Engineering
Information
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.
International
Si
Congress
66th Annual Meeting of the APS Division of Fluid Dynamics
960
Place
Pittsburgh, USA
Reviewers
Si
ISBN/ISSN
9781279078396
Start Date
24/11/2013
End Date
26/11/2013
From page
1
To page
1
Bulletin of the American Physical Society Volume 58, Number 18
Participants
  • Autor: Ana María Mancho (CSIC)
  • Autor: Stephen Wiggins (University of Bristol)
  • Autor: Jezabel Curbelo (ICMAT)
  • Autor: Carolina Andrea Mendoza Parra (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Ciencias Aplicadas a la Ingeniería Naval
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