ORBITAL NORMAL FORMS FOR A FAMILY OF-ZERO SINGULARITY

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Gazor M.; Sadri N.

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:2 | Issue:2 Page(s): 51-64

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Information Journal Paper

Title

ORBITAL NORMAL FORMS FOR A FAMILY OF-ZERO SINGULARITY

Author(s)

Gazor M. | Sadri N. | Issue Writer Certificate

Keywords

DYNAMICAL SYSTEMQ2

NORMAL FORMQ1

ORBITAL NORMAL FORMQ2

HOPF-ZERO SINGULARITYQ2

Abstract

Consider a DYNAMICAL SYSTEM x'=F (x, m) such that its linear part has a pair of imaginary eigenvalues and one zero eigenvalue (Hopf zero singularity). Recently, the simplest NORMAL FORM for this singular system has been obtained by sl (2) Lie algebra theory and the decomposition of space into three invariant subspaces. The NORMAL FORM of this singular system is divided into three general cases. In this paper, the obtained results will be extended to orbital NORMAL FORM and one of the three aforementioned cases will be discussed. The orbital obtained NORMAL FORM will be simpler than the previous simplest NORMAL FORM.

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APA: Copy

Gazor, M., & Sadri, N.. (2017). ORBITAL NORMAL FORMS FOR A FAMILY OF-ZERO SINGULARITY. MATHEMATICAL RESEARCHES, 2(2), 51-64. SID. https://sid.ir/paper/260805/en

Vancouver: Copy

Gazor M., Sadri N.. ORBITAL NORMAL FORMS FOR A FAMILY OF-ZERO SINGULARITY. MATHEMATICAL RESEARCHES[Internet]. 2017;2(2):51-64. Available from: https://sid.ir/paper/260805/en

IEEE: Copy

M. Gazor, and N. Sadri, “ORBITAL NORMAL FORMS FOR A FAMILY OF-ZERO SINGULARITY,” MATHEMATICAL RESEARCHES, vol. 2, no. 2, pp. 51–64, 2017, [Online]. Available: https://sid.ir/paper/260805/en

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