Summary
We investigate, by means of the Melnikov method, the effects produced by the introduction of a resonant parametric modulation on the onset of chaos in a fairly general class of 1-dimensional problems, including the Duffing-Holmes oscillator and the Josephson junction model.
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References
J. Guckenheimer andP. J. Holmes:Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer Verlag, New York, N,Y., 1983).
R. Lima andM. Pettini:Phys. Rev. A,41, 726 (1990).
V. K. Melnikov:Trans. Moscow Math. Soc,12, 1 (1963).
S. Wiggins:Global Bifurcations and Chaos (Springer Verlag, New York, NY., 1988).
G. Cicogna andL. Fronzoni:Effects of paramagnetic perturbations on the onset of chaos in the Josephson junction: theory and analog simulations, preprint (1990).
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Cicogna, G. Changing the threshold of chaos by resonant parametric modulation. Nuov Cim B 105, 813–815 (1990). https://doi.org/10.1007/BF02742805
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DOI: https://doi.org/10.1007/BF02742805