BIFURCATIONS OF PERIODIC ORBITS IN THREE-WELL DUFFING SYSTEM WITH A PHASE SHIFT

Jicai HUANG;Han ZHANG

Journal of Systems Science & Complexity ›› 2011, Vol. 24 ›› Issue (3) : 519-531.

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Journal of Systems Science & Complexity ›› 2011, Vol. 24 ›› Issue (3) : 519-531. DOI: 10.1007/s11424-010-8209-3
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BIFURCATIONS OF PERIODIC ORBITS IN THREE-WELL DUFFING SYSTEM WITH A PHASE SHIFT

  • Jicai HUANG(1), Han ZHANG(2)
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Abstract

Bifurcations of periodic orbits of three-well Duffing system with a phase shift are investigated in detail. The conditions of the existence and bifurcations for harmonics, subharmonics (2-order, 3-order and m-order) and superharmonics under small perturbations are given by using second-order averaging method and
Melnikov's method. The influence of the phase shift on the dynamics is also obtained.

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Bifurcations / Melnikov's method / periodic orbits / second-order averaging / three-well Duffing system.

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Jicai HUANG , Han ZHANG. BIFURCATIONS OF PERIODIC ORBITS IN THREE-WELL DUFFING SYSTEM WITH A PHASE SHIFT. Journal of Systems Science and Complexity, 2011, 24(3): 519-531 https://doi.org/10.1007/s11424-010-8209-3
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