A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form-Reference-Cited by-同舟云学术

A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form

Published:2019-06-03 Issue:2 Volume:97 Page:979-990
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Algaba Antonio,Chung Kwok-Wai,Qin Bo-Wei,Rodríguez-Luis Alejandro J.^ORCID

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

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

City University of Hong Kong

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/s11071-019-05025-2.pdf

Reference33 articles.

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2. Algaba, A., Freire, E., Gamero, E., García, C.: A bifurcation analysis of planar nilpotent reversible systems. Nonlinear Dyn. 87, 835–849 (2017)

3. Chen, S.H., Chen, Y.Y., Sze, K.Y.: A hyperbolic perturbation method for determining homoclinic solution of certain strongly nonlinear autonomous oscillators. J. Sound Vib. 322, 381–392 (2009)

4. Chen, Y.Y., Chen, S.H.: Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method. Nonlinear Dyn. 58, 417–429 (2009)

5. Belhaq, M., Fiedler, B., Lakrad, F.: Homoclinic connections in strongly self-excited nonlinear oscillators: the Melnikov function and the elliptic Lindstedt-Poincaré method. Nonlinear Dyn. 23, 67–86 (2000)

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