On the equivalence of three-dimensional differential systems

Jian Zhou, Shiyin Zhao
2020 Open Mathematics  
In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system. Secondly, we discuss the necessary conditions for the equivalence of such systems and a general three-dimensional differential system. And then, we apply the obtained results to the study of the behavior of their periodic solutions when such systems are periodic systems in t.
doi:10.1515/math-2020-0073 fatcat:cjbk7pv5a5fk5nt6hxdku7la2e