Computation of Invariant Curves and Identifying the Type of Critical Point

ZHI Junhai · CHEN Yufu

Journal of Systems Science & Complexity ›› 2018, Vol. 31 ›› Issue (6) : 1698-1708.

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PDF(216 KB)
Journal of Systems Science & Complexity ›› 2018, Vol. 31 ›› Issue (6) : 1698-1708. DOI: 10.1007/s11424-018-7449-5

Computation of Invariant Curves and Identifying the Type of Critical Point

  • ZHI Junhai · CHEN Yufu
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Abstract

This paper considers two dimensional systems which have purely imaginary eigenvalues. In order to obtain more propositions of invariant curves, the authors transform the real systems into complex differential systems by using a suitable linear transformation. The authors also propose an algorithm to compute exponential factors. An improved method of constructing integrating factor by using all invariant curves is presented and can be used in determining the type of the equilibrium points.

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ZHI Junhai · CHEN Yufu. Computation of Invariant Curves and Identifying the Type of Critical Point. Journal of Systems Science and Complexity, 2018, 31(6): 1698-1708 https://doi.org/10.1007/s11424-018-7449-5
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