Výsledky vyhledávání - "Flow Curvature Method"

Akademický článek

Slow Invariant Manifold of Laser with Feedback

Autor: Jean-Marc Ginoux, Riccardo Meucci

Publikováno v: Symmetry, Vol 13, Iss 10, p 1898 (2021)

Previous studies have demonstrated, experimentally and theoretically, the existence of slow–fast evolutions, i.e., slow chaotic spiking sequences in the dynamics of a semiconductor laser with AC-coupled optoelectronic feedback. In this work, the so

Externí odkaz: https://doaj.org/article/9bb4559539c6408db81b378abae93a20

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Flow curvature manifold and energy of generalized Liénard systems

Autor: Ginoux, Jean-Marc, Lebiedz, Dirk, Meucci, Riccardo, Llibre, Jaume

Publikováno v: Chaos, Solitons & Fractals
Chaos, Solitons & Fractals, 2022, 161, pp.112354. ⟨10.1016/j.chaos.2022.112354⟩

In his famous book entitled Theory of Oscillations, Nicolas Minorsky wrote: "each time the system absorbs energy the curvature of its trajectory decreases and vice versa". By using the Flow Curvature Method, we establish that, in the ε-vicinity of t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::611511fb358bf11819bddc53647e1030
https://hal.science/hal-03957435

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Akademický článek

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Canards from Chua's circuit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::b3871626ef4d626779921a5ddba6d31a
https://hdl.handle.net/2072/410516

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The Slow Invariant Manifold of the Lorenz–Krishnamurthy Model

Autor: Jean-Marc Ginoux

Publikováno v: Qualitative Theory of Dynamical Systems
Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2014, 13 (1), pp.19-37. ⟨10.1007/s12346-013-0104-6⟩

International audience; During this last decades, several attempts to construct slow invariant manifold of the Lorenz-Krishnamurthy five-mode model of slow-fast interactions in the atmosphere have been made by various authors. Unfortunately, as in th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a4f63743a1a5e81a940c87728b5d0b8
https://doi.org/10.1007/s12346-013-0104-6

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Canards from Chua's circuit

Autor: Jaume Llibre, Leon O. Chua, Jean-Marc Ginoux

Publikováno v: International journal of bifurcation and chaos in applied sciences and engineering
International journal of bifurcation and chaos in applied sciences and engineering, World Scientific Publishing, 2013, 23 (4), pp.1330010. ⟨10.1142/S0218127413300103⟩
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

The aim of this work is to extend Beno\^it's theorem for the generic existence of "canards" solutions in singularly perturbed dynamical systems of dimension three with one fast variable to those of dimension four. Then, it is established that this re

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::244c80ef962633201ae063cec1d8384e
https://hal-univ-tln.archives-ouvertes.fr/hal-01056966/file/GinouxLlibreChua.pdf

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The flow curvature method applied to canard explosion

Autor: Jean-Marc Ginoux, Jaume Llibre

Publikováno v: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2011, 44 (46), pp.465203. ⟨10.1088/1751-8113/44/46/465203⟩
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

International audience; The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curva

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acf9d7cc30bcff1b1b0ac91ed2d25446
https://doi.org/10.1088/1751-8113/44/46/465203

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