Exact solutions for the quadratic mixed-parity Helmholtz–Duffing oscillator by bifurcation theory of dynamical systems
作者： Yixiang Geng
DOI: 10.1016/J.CHAOS.2015.08.021
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摘要: Abstract The dynamical behavior and exact solutions of the quadratic mixed-parity Helmholtz–Duffing oscillator are studied by using bifurcation theory systems. As a result, all possible phase portraits in parametric space obtained. All explicit representations bounded (soliton solutions, kink anti-kink periodic ) given. When parameters varied, under different conditions, various sufficient conditions guarantee existence above
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