A Darboux invariant for normal forms of 3-dimensional polynomial di erential systems with a cubic invariant surface

We present the normal forms of polynomial di erential systems in R3 having,an invariant irreducible cubic surface. Also we obtain conditions that they have a Darboux invariant.

Keywords:

Invariant algebraic surface , Darboux theory of integrability , Darboux invariant

Authors

Najmeh Khajoei

Department of Pure Mathematics Shahid Bahonar University, Kerman, Iran

Mohammad Reza Molaei

Department of Pure Mathematics Shahid Bahonar University, Kerman, Iran

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https://civilica.com/doc/895579

شناسه ملی سند علمی:

DSGT02_010

تاریخ نمایه سازی: 19 تیر 1398

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Khajoei, Najmeh and Molaei, Mohammad Reza,1397,A Darboux invariant for normal forms of 3-dimensional polynomial di erential systems with a cubic invariant surface,The Second National Conference on Iranian Dynamic Systems and Geometric Theories,Zahedan,https://civilica.com/doc/895579

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