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Journal article
Connecting curves for dynamical systems
Journal of physics. A, Mathematical and theoretical, v 43(25), pp 255101-255101
08 Mar 2010
Abstract
J. Phys. A: Math. Theor. 43 255101 (2010) We introduce one dimensional sets to help describe and constrain the integral
curves of an $n$ dimensional dynamical system. These curves provide more
information about the system than the zero-dimensional sets (fixed points) do.
In fact, these curves pass through the fixed points. Connecting curves are
introduced using two different but equivalent definitions, one from dynamical
systems theory, the other from differential geometry. We describe how to
compute these curves and illustrate their properties by showing the connecting
curves for a number of dynamical systems.
Metrics
Details
- Title
- Connecting curves for dynamical systems
- Creators
- R Gilmore - Drexel UniversityJean-Marc Ginoux - Institut de Mathématiques de JussieuTimothy Jones - Drexel UniversityC Letellier - University of RouenU. S Freitas - University of Rouen
- Publication Details
- Journal of physics. A, Mathematical and theoretical, v 43(25), pp 255101-255101
- Publisher
- Institute of Physics (IOP)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000278267700004
- Scopus ID
- 2-s2.0-77953003427
- Other Identifier
- 991019167967404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Mathematical
- Physics, Multidisciplinary