Výsledky vyhledávání - "Márcio R. A. Gouveia"

Hyperbolicity of renormalization for dissipative gap mappings

Autor: Márcio R. A. Gouveia, Trevor Clark

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional flows, for example the Lo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f3a0c2bedcb87682e1062ef5bdd9b01
https://doi.org/10.1017/etds.2021.88

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Phase portraits of the quadratic polynomial Liénard differential systems

Autor: Márcio R. A. Gouveia, Jaume Llibre, Luci Any Roberto

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems \dot{x}=y, \quad \dot{y}=(ax+b)y+cx^2+dx+e,where (x, y) ∈ ℝ2 are the variables and a,b,c,d,e are real parameters.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad6ed773e79d740e78fe43ebd781e7e8
http://hdl.handle.net/2072/439759

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Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms

Autor: Douglas D. Novaes, Jaume Llibre, Márcio R. A. Gouveia, Claudio Pessoa

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2016, 260 (7), pp.6108-6129. ⟨10.1016/j.jde.2015.12.034⟩
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Agraïments: The first and fourth author are partially supported by a FAPESP grant 2013/34541-0. The first and fourth authors are supported by a CAPES PROCAD grant 88881.068462/2014-01. The second author is partially supported by a CAPES CSF-PVE gran

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::146b09f3b8f1891aa12a03783aebd25e
https://doi.org/10.1016/j.jde.2015.12.034

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Bifurcations at infinity, invariant algebraic surfaces, homoclinic and heteroclinic orbits and centers of a new Lorenz-like chaotic system

Autor: Márcio R. A. Gouveia, Claudio Pessoa, Marcelo Messias

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

We present a global dynamical analysis of the following quadratic differential system $$\dot{x}{=}a(y{-}x), \dot{y}\!=\!dy-xz, \dot{z}\!=\!-bz+fx^2+gxy$$ , where $$(x,y,z)\in {\mathbb {R}}^3$$ are the state variables and a, b, d, f, g are real parame

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5429ee06e3135e46a2a8f6fcdd1b93cb
https://doi.org/10.1007/s11071-015-2520-4

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Poincaré recurrence theorem for non-smooth vector fields

Autor: Márcio R. A. Gouveia, Rodrigo D. Euzébio

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

Made available in DSpace on 2018-12-11T16:46:46Z (GMT). No. of bitstreams: 0 Previous issue date: 2017-04-01 Fundação de Amparo à Pesquisa do Estado de Goiás Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperf

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95d2192e57bc2490cb3b817dc97d172b

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Dynamics at infinity and other global dynamical aspects of Shimizu–Morioka equations

Autor: Márcio R. A. Gouveia, Marcelo Messias, Claudio Pessoa

Publikováno v: Nonlinear Dynamics. 69:577-587

We present some global dynamical aspects of Shimizu–Morioka equations given by $$\dot{x}=y, \qquad\dot{y}=x-\lambda y-xz, \qquad\dot{z}=-\alpha z+x^2,$$ where (x,y,z)∈ℝ3 are the state variables and λ,α are real parameters. This system is a si

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b3700b5bfe1c749a735906dd712f0729
https://doi.org/10.1007/s11071-011-0288-8

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Time-periodic perturbation of a Liénard equation with an unbounded homoclinic loop

Autor: Márcio R. A. Gouveia, Marcelo Messias

Publikováno v: Physica D: Nonlinear Phenomena. 240:1402-1409

We consider a quadratic Lienard equation with an unbounded homoclinic loop, which is a solution tending in forward and backward time to a non-hyperbolic equilibrium point located at infinity. Under small time-periodic perturbation, this equilibrium b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::29896b0ce6f4e0d4af7422678b2b36d9
https://doi.org/10.1016/j.physd.2011.06.006

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A survey on the set of periods of the graph homeomorphisms

Autor: Jaume Llibre, Márcio R. A. Gouveia

El títol de la versió pre-print de l'article és: On the set of periods of the graph homeomorphisms Agraïments: The first author is partially supported by CAPES/DGU Grant number BEX 12566/12-8 and by a FAPESP Grant 2013/13344-0. Agraïments: The s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d221b2022fad1b0fd336129f66050a9d
https://ddd.uab.cat/record/145348

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On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

Autor: Jaume Llibre, Douglas D. Novaes, Márcio R. A. Gouveia

Publikováno v: 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)
Recercat. Dipósit de la Recerca de Catalunya
instname
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

Made available in DSpace on 2018-12-11T16:58:42Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-11-15 In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc4f82bb6219d792d11135cfeb7adc7d
https://ddd.uab.cat/record/145337

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The lamination of infinitely renormalizable dissipative gap maps: analyticity, holonomies and conjugacies

Autor: Eduardo Colli, Márcio R. A. Gouveia

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

Motivated by return maps near saddles for three-dimensional flows and also by return maps in the torus associated to Cherry flows, we study gap maps with derivative positive and smaller than one outside the discontinuity point. We prove that the lami

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