Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators-Reference-Cited by-同舟云学术

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Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators

Published:2023-10-04 Issue:6 Volume:33 Page:
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Si Wen,Xu Lu,Yi Yingfei

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Department project of Science and Technology of Jilin Province, China

NSERC discovery grant, Canada

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s00332-023-09974-2.pdf

Reference45 articles.

1. Blyuss, K.B.: Chaotic behaviour of solutions to a perturbed Korteweg-de Vries equation. Rep. Math. Phys. 49, 29–38 (2002)

2. Braaksma, B., Broer, H.: On a quasi-periodic Hopf bifurcation. Ann. Inst. H. Poincaré Anal. Nonlinéaire 4(2), 115–168 (1987)

3. Broer, H.W., Hanßmann, H., You, J.: Bifurcations of normally parabolic tori in Hamiltonian systems. Nonlinearity 18, 1735–1769 (2005)

4. Broer, H.W., Hanßmann, H., You, J.: Umbilical torus bifurcations in Hamiltonian systems. J. Differ. Equ. 222, 233–262 (2006)

5. Broer, H.W., Hanßmann, H., You, J.: On the destruction of resonant Lagrangean tori in Hamiltonian systems. In: Johann, A., Kruse, H. P., Rupp, F., Schmitz, F. (eds.) Recent Trends in Dynamical Systems, Proceedings of a Conference in Honor of Jürgen Scheurle, vol. 13. Springer (2013)

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