Implementing Poincaré Sections for a Chaotic Relaxation Oscillator
| Autor: | Jean-Marc Ginoux, Stefano Euzzor, F. T. Arecchi, R. Meucci, A. Di Garbo |
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| Přispěvatelé: | Laboratoire d'Informatique et Systèmes (LIS), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Sequence Dynamical systems theory Relaxation oscillator [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Chaotic Torus 01 natural sciences 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics Nonlinear system Classical mechanics Sampling (signal processing) 0103 physical sciences [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] Electrical and Electronic Engineering Maxima 010301 acoustics ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Mathematical Modelling of Natural Phenomena Mathematical Modelling of Natural Phenomena, 2020, ⟨10.1109/TCSII.2019.2924475⟩ IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Transactions on Circuits and Systems II: Express Briefs, 2020, 67 (2), pp.395-399. ⟨10.1109/TCSII.2019.2924475⟩ IEEE Transactions on Circuits and Systems II: Express Briefs, Institute of Electrical and Electronics Engineers, 2020, 67 (2), pp.395-399. ⟨10.1109/TCSII.2019.2924475⟩ Mathematical Modelling of Natural Phenomena, EDP Sciences, 2020, ⟨10.1109/TCSII.2019.2924475⟩ |
| ISSN: | 0973-5348 1760-6101 1549-7747 1558-3791 |
| DOI: | 10.1109/TCSII.2019.2924475⟩ |
| Popis: | We propose an electronic implementation to record Poincare sections of dynamical systems exhibiting chaos. Poincare sections are obtained by sampling and holding the maxima of a sequence of pulses of a chaotic relaxation oscillator versus the same temporal sequence shifted by one unit. By using these sections we are able to detail the transition to chaos via torus breakdown. |
| Databáze: | OpenAIRE |
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