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Oscillators with asymmetric single and double well potentials: transition to chaos revisited

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We study the Melnikov criterion for a global homoclinic bifurcation and possible transition to chaos for a single degree of freedom nonlinear oscillator. This provides a systematic method of treatment for an arbitrary potential expressed as a fourth order polynomial. The equation of motion has external excitation and a Duffing type nonlinearity with one or two unsymmetric potential wells.

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Litak, G., Borowiec, M. Oscillators with asymmetric single and double well potentials: transition to chaos revisited. Acta Mechanica 184, 47–59 (2006). https://doi.org/10.1007/s00707-006-0340-9

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  • DOI: https://doi.org/10.1007/s00707-006-0340-9

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