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Stability and Oscillation for a Coupled Hamiltonian Duffing Oscillator Model with Delays

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  • Chunhua Feng

Abstract

This paper deals with a coupled Hamiltonian Duffing oscillator model with delays. The stability of the equilibrium for the system is investigated. Synchronization phenomenon occurred. Some sufficient conditions to guarantee the stability and oscillation of the trivial solution are derived. Computer simulations are provided to verify our theoretical results.

Suggested Citation

  • Chunhua Feng, 2018. "Stability and Oscillation for a Coupled Hamiltonian Duffing Oscillator Model with Delays," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(2), pages 55-65, April.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:2:p:55
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    More about this item

    Keywords

    coupled Hamiltonian Duffing oscillator model; delay; stability; oscillation;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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