Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Ian Lizarraga"'
Publikováno v:
Journal of Nonlinear Science. 30:3161-3198
We develop the contact singularity theory for singularly perturbed (or ‘slow–fast’) vector fields of the general form $$z' = H(z,\varepsilon )$$ , $$z\in {\mathbb {R}}^n$$ and $$0 < \varepsilon \ll 1$$ . Our main result is the derivation of com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5db754fe42729259135cf362f7ae85ce
https://doi.org/10.1007/s00332-020-09647-4
https://doi.org/10.1007/s00332-020-09647-4
Publikováno v:
Lizarraga, I, Rink, B & Wechselberger, M 2021, ' Multiple timescales and the parametrisation method in geometric singular perturbation theory ', Nonlinearity, vol. 34, no. 6, pp. 4163-4201 . https://doi.org/10.1088/1361-6544/ac04bf
Nonlinearity, 34(6), 4163-4201. IOP Publishing Ltd.
Nonlinearity, 34(6), 4163-4201. IOP Publishing Ltd.
We present a novel method for computing slow manifolds and their fast fibre bundles in geometric singular perturbation problems. This coordinate-independent method is inspired by the parametrisation method introduced by Cabr\'e, Fontich and de la Lla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3594213688a2683dfb16f8b7fb28b4c2
Autor:
Martin Wechselberger, Ian Lizarraga
The computational singular perturbation (CSP) method is an algorithm which iteratively approximates slow manifolds and fast fibers in multiple-timescale dynamical systems. Since its inception due to Lam and Goussis, the convergence of the CSP method
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5f77f50a3740a5538de74679b98cd49
http://arxiv.org/abs/1906.06049
http://arxiv.org/abs/1906.06049
Autor:
Ian Lizarraga, John Guckenheimer
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 14:764-786
The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process. Koper and Gaspard described paradoxical dynamics in the model: they discovered complicated, chaotic b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e552cee3a7fd06848263e43e1fe05bb6
https://doi.org/10.1137/140972007
https://doi.org/10.1137/140972007
Publikováno v:
Teyssandier, J; Naoz, S; Lizarraga, I; & Rasio, FA. (2013). Extreme orbital evolution from hierarchical secular coupling of two giant planets. Astrophysical Journal, 779(2). doi: 10.1088/0004-637X/779/2/166. UCLA: Retrieved from: http://www.escholarship.org/uc/item/1b24j39f
The Astrophysical Journal, vol 779, iss 2
Astrophysical Journal, vol 779, iss 2
The Astrophysical Journal, vol 779, iss 2
Astrophysical Journal, vol 779, iss 2
Observations of exoplanets over the last two decades have revealed a new class of Jupiter-size planets with orbital periods of a few days, the so-called "hot Jupiters". Recent measurements using the Rossiter-McLaughlin effect have shown that many (~
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2cd21c097b3a62b147e0b6b59b3d469
http://www.escholarship.org/uc/item/1b24j39f
http://www.escholarship.org/uc/item/1b24j39f
Publikováno v:
Physical review. E, Statistical, nonlinear, and soft matter physics. 89(1)
We consider a Kuramoto model of coupled oscillators that includes quenched random interactions of the type used by van Hemmen in his model of spin glasses. The phase diagram is obtained analytically for the case of zero noise and a Lorentzian distrib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d65a371b57be446639f898861a35ef7b
https://pubmed.ncbi.nlm.nih.gov/24580294
https://pubmed.ncbi.nlm.nih.gov/24580294