Distinguished trajectories in time dependent vector fields
| Autor: | Ana M. Mancho, J. A. Jiménez Madrid |
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| Rok vydání: | 2009 |
| Předmět: |
Time Factors
Dynamical systems theory FOS: Physical sciences Systems Theory General Physics and Astronomy Context (language use) Dynamical Systems (math.DS) Fixed point Stability (probability) Oscillometry FOS: Mathematics Limit (mathematics) Mathematics - Dynamical Systems Mathematical Physics Mathematics Applied Mathematics Mathematical analysis Reproducibility of Results Statistical and Nonlinear Physics Models Theoretical Nonlinear Sciences - Chaotic Dynamics Nonlinear Dynamics Aperiodic graph Trajectory Vector field Chaotic Dynamics (nlin.CD) |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| ISSN: | 1089-7682 1054-1500 |
| DOI: | 10.1063/1.3056050 |
| Popis: | 18 pages, 27 figures, 2 tables. We introduce a new definition of distinguished trajectory that generalizes the concepts of fixed point and periodic orbit to aperiodic dynamical systems. This new definition is valid for identifying distinguished trajectories with hyperbolic and nonhyperbolic types of stability. The definition is implemented numerically and the procedure consists of determining a path of limit coordinates. It has been successfully applied to known examples of distinguished trajectories. In the context of highly aperiodic realistic flows our definition characterizes distinguished trajectories in finite time intervals, and states that outside these intervals trajectories are no longer distinguished. The authors have been supported by CSIC Grant No. PI-200650I224 and OCEANTECH (No. PIF06-059), Consolider I-MATH (C3-0104), and the Comunidad de Madrid Project No. SIMUMAT S-0505-ESP-0158. |
| Databáze: | OpenAIRE |
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