Boundedness of Certain Forms of Jerky Dynamics A

• Autores: Zeraoulia Elhadj, J.C. Sprott
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 2, 2012, págs. 199-213
• Idioma: inglés
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• Resumen

  • In this paper, we find regions in the bifurcation parameter space of certain forms of jerky dynamic systems where they are bounded. The method of analysis is based on a recent result about the boundedness of solutions of a certain type of third-order nonlinear differential equation with bounded delay. In particular, the boundedness of some chaotic attractors displayed by these systems is confirmed analytically.