【摘 要】
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In this paper, we investigate the two parameter codimension three degenerate bifurcations of a novel model based upon the recently proposed smooth and disco
【机 构】
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CentreforNonlinearDynamicsResearch,HarbinInstituteandTechnology,SchoolofAstronautics,Harbin150001,Ch
【出 处】
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第三届非线性力学最新进展国际会议Third International Conference on Recent Adv
论文部分内容阅读
In this paper, we investigate the two parameter codimension three degenerate bifurcations of a novel model based upon the recently proposed smooth and discontinuous (SD) oscillator [1-4] having strong irrational nonlinearities due to the geometrical configuration.The investigation shows that the system admits the complicated equilibrium bifurcations near the catastrophe point A in parameter (a, β) space, which results in the multiple bucklings.The bifurcation diagrams classified the orbits of homoclinic, tangent homoclinic, homo-heteroclinic and cuspidal heteroclinic, respectively, resulting the non-buckling, single buckling and triple buckling with the transitions.
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