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Study of a piecewise linear dynamic system with negative and positive stiffness
The present paper mainly focuses on numerical and analytical study of a piecewise linear dynamic oscillator with negative stiffness followed by positive stiffness which has not been studied to date. The dynamic system of ...
An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation
A new modification of homotopy analysis method (HAM) is proposed in this paper. The auxiliary differential operator is specifically chosen so that more than one secular term must be eliminated. The proposed method can ...