Recognition of resonance type in periodically forced oscillators

Author:

Broer H.W.,Holtman S.J.,Vegter G.

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference34 articles.

1. Recognition of the bifurcation type of resonance in mildly degenerate Hopf–Neĭmark–Sacker families;Broer;Nonlinearity,2008

2. Geometrical Methods in the Theory of Ordinary Differential Equations;Arnol’d,1982

3. Elements of Applied Bifurcation Theory;Kuznetsov,1995

4. The geometry of resonance tongues: a singularity approach;Broer;Nonlinearity,2003

5. F. Takens, Forced oscillations and bifurcations, in: Applications of Global Analysis I. Vol. 3. Communications of the Mathematical Institute of the University of Utrecht, 1974, pp. 1–59. Reprinted in: H.W. Broer, B. Krauskopf and G. Vegter, editors, Global Analysis of Dynamical Systems. Festschrift Dedicated to Floris Takens for his 60th Birthday (Leiden, 2001), Inst. Physics, Bristol (2001), 1–61.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Resonance and Singularities;Progress and Challenges in Dynamical Systems;2013

2. Resonance and Fractal Geometry;Acta Applicandae Mathematicae;2012-01-27

3. Dynamics and geometry near resonant bifurcations;Regular and Chaotic Dynamics;2010-10-13

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