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On the first integral and equivalence of nonlinear differential equations

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  • Zhou, Zhengxin

Abstract

In this paper, we study the equivalence of several different types of differential systems and provide a new method to find out the first integral of such differential systems. We draw some sufficient conditions for a general time-varying nonlinear differential system to be equivalent to a given differential system. We use the obtained results to discuss the qualitative behavior of the periodic solutions of such time-varying differential systems and get some interesting conclusions.

Suggested Citation

  • Zhou, Zhengxin, 2015. "On the first integral and equivalence of nonlinear differential equations," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 295-302.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:295-302
    DOI: 10.1016/j.amc.2015.06.065
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    Cited by:

    1. Miranda-Colorado, Roger, 2020. "Parameter identification of conservative Hamiltonian systems using first integrals," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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