Resonances of periodic orbits in the Lorenz system-Reference-Cited by-同舟云学术

Resonances of periodic orbits in the Lorenz system

Published:2016-02-02 Issue:4 Volume:84 Page:2111-2136
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Algaba Antonio,Gamero Estanislao,Merino Manuel,Rodríguez-Luis Alejandro J.

Funder

Ministerio de Educación y Ciencia, Plan Nacional I+D+I

Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-016-2632-5.pdf

Reference39 articles.

1. Lorenz, E.N.: Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130–141 (1963)

2. Sparrow, C.: The Lorenz Equations. Springer, New York (1982)

3. Barrio, R., Serrano, S.: Bounds for the chaotic region in the Lorenz model. Phys. D 238, 1615–1624 (2009)

4. Llibre, J., Messias, M., da Silva, P.R.: Global dynamics of the Lorenz system with invariant algebraic surfaces. Int. J. Bifurc. Chaos 20, 3137–3155 (2010)

5. Doedel, E.J., Krauskopf, B., Osinga, H.M.: Global invariant manifolds in the transition to preturbulence in the Lorenz system. Indag. Math. 22, 222–240 (2011)

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