Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems

@article{Luo2015PeriodicFT,
  title={Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems},
  author={Albert C. J. Luo},
  journal={Int. J. Bifurc. Chaos},
  year={2015},
  volume={25}
}
  • Albert C. J. Luo
  • Published 2015
  • Computer Science, Mathematics
  • Int. J. Bifurc. Chaos
  • This paper presents a semi-analytical method for periodic flows in continuous nonlinear dynamical systems. For the semi-analytical approach, differential equations of nonlinear dynamical systems are discretized to obtain implicit maps, and a mapping structure based on the implicit maps is employed for a periodic flow. From mapping structures, periodic flows in nonlinear dynamical systems are predicted analytically and the corresponding stability and bifurcations of the periodic flows are… CONTINUE READING

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