Abstract
Non-transversal T-points have been recently found in problems from many different fields: electronic circuits, pendula, and laser problems. In this work, we study a model based on the construction of a Poincaré map that describes the behaviour of curves of saddle-node and cusp bifurcations in the vicinity of such a non-transversal T-point. This model is also able to predict, reproduce, and explain the numerical results previously obtained in Chua’s equation.
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We would like to thank the reviewers for their useful comments and suggestions. This work has been partially supported by the Ministerio de Educación y Ciencia, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project MTM2007-64193 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276, TIC-0130 and P08-FQM-03770).
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Algaba, A., Fernández-Sánchez, F., Merino, M. et al. Structure of saddle-node and cusp bifurcations of periodic orbits near a non-transversal T-point. Nonlinear Dyn 63, 455–476 (2011). https://doi.org/10.1007/s11071-010-9815-2
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DOI: https://doi.org/10.1007/s11071-010-9815-2