• Corpus ID: 119161614

Transient behavior of the solutions to the second order difference equations by the renormalization method based on Newton-Maclaurin expansion

@article{Liu2017TransientBO,
  title={Transient behavior of the solutions to the second order difference equations by the renormalization method based on Newton-Maclaurin expansion},
  author={Cheng-shi Liu},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
  • Cheng-shi Liu
  • Published 7 September 2017
  • Physics
  • arXiv: Mathematical Physics
The renormalization method based on the Newton-Maclaurin expansion is applied to study the transient behavior of the solutions to the difference equations as they tend to the steady-states. The key and also natural step is to make the renormalization equations to be continuous such that the elementary functions can be used to describe the transient behavior of the solutions to difference equations. As the concrete examples, we deal with the important second order nonlinear difference equations… 

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