Complex bursting dynamics of a Mathieu-van der Pol-Duffing energy harvester

Abstract

Abstract The purpose of this paper aims to explore the mechanism of several different periodic bursting patterns based on a Mathieu-van der Pol-Duffing energy harvester with parameter excitation. These bursting patterns are categorized as ‘delayed supHopf/supHopf’ bursting, ‘delayed pitchfork/pitchfork’ bursting, ‘delayed Hopf-pitchfork/Hopf-pitchfork’ bursting, ‘delayed subHopf/supHopf’ bursting and ‘delayed subHopf/fold-cycle’ bursting, respectively. Since bursting oscillations can be created when the trajectory transfers between/among different attractors, which means the amplitude of bursting oscillations may be sufficient to overcome the potential barrier of the energy harvester, and thus it would have potential application value in energy harvesting.