Subharmonic bifurcation from infinity
نویسندگان
چکیده
منابع مشابه
Bifurcation curves of subharmonic solutions
We revisit a problem considered by Chow and Hale on the existence of subharmonic solutions for perturbed systems. In the analytic setting, under more general (weaker) conditions, we prove their results on the existence of bifurcation curves from the nonexistence to the existence of subharmonic solutions. In particular our results apply also when one has degeneracy to first order — i.e. when the...
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We study perturbations of a class of analytic two-dimensional autonomous systems with perturbations depending periodically on time; for instance one can imagine a periodically driven or forced system with one degree of freedom. In the first part of the paper, we revisit a problem considered by Chow and Hale on the existence of subharmonic solutions. In the analytic setting, under more general (...
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Zhouchao Wei∗ School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China Division of Dynamics, Technical University of Lodz, Lodz, Stefanowskiego 1/15, 90-924, Poland College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China Mathematical Institute, University of Oxford, Oxford, OX2 6GG, England [email protected]...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2006
ISSN: 0022-0396
DOI: 10.1016/j.jde.2005.09.011