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Archetypal oscillator for smooth and discontinuous dynamics
ArticleAbstract: We propose an archetypal system to investigate transitions from smooth to discontinuous dynamics. InPalabras claves:Autores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., T. Thompson J.M.Fuentes:scopusPiecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics
Conference ObjectAbstract: In a recent paper we examined a model of an arch bridge with viscous damping subjected to a sinusoidPalabras claves:Homoclinic-like orbit, Melnikov method, Piecewise linearization, Saddle-like singularityAutores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., Thompson J.M.T.Fuentes:scopusSD oscillator, the attractor and their applications
ArticleAbstract: A new oscillator which is named SD oscillator is proposed. The perturbed attractors are called SD atPalabras claves:Homoclinic-like orbit, Lyapunov exponent, Saddle-like equilibrium, SD attractorAutores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., Thompson J.M.T.Fuentes:scopusThe SD oscillator and its attractors
ArticleAbstract: We propose a new archetypal oscillator for smooth and discontinuous systems (SD oscillator). This osPalabras claves:Autores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., Thompson J.M.T.Fuentes:scopusThe limit case response of the archetypal oscillator for smooth and discontinuous dynamics
ArticleAbstract: In this paper, the limit case of the SD (smooth and discontinuous) oscillator is studied. This systePalabras claves:Chaotic sea, Discontinuity, KAM structure, SD oscillatorAutores:Cao Q.J., Grebogi C., Marian Wiercigroch, Pavlovskaia E.E., Thompson J.M.T.Fuentes:scopus