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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This research was supported by the National Natural Science Foundation of China under Grant No. 11271363.
This paper was recommended for publication by Editor-in-Chief GAO Xiao-Shan.
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Zhi, J., Chen, Y. Computation of Invariant Curves and Identifying the Type of Critical Point. J Syst Sci Complex 31, 1698–1708 (2018). https://doi.org/10.1007/s11424-018-7449-5
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DOI: https://doi.org/10.1007/s11424-018-7449-5