Complex dynamics and chaos in a scalar linear continuous system with impulsive feedback

@article{Zhusubaliyev2012ComplexDA,
  title={Complex dynamics and chaos in a scalar linear continuous system with impulsive feedback},
  author={Zhanybai T. Zhusubaliyev and Alexander N. Churilov and Alexander Medvedev},
  journal={2012 American Control Conference (ACC)},
  year={2012},
  pages={2419-2424}
}
This paper deals with a hybrid system comprised of scalar continuous dynamics and a pulse-modulated feedback that represents a simplified version of a model earlier proposed for describing the mechanism of pulsatile hormone regulation in endocrinology. It is shown that even in this drastically reduced form, the system demonstrates a wide range of complex behaviors, including chaotic dynamics. 

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