“…The unique phenomenon that can be modeled only through nonlinear systems, such as jump phenomenon, chaos, multiple steady-state solutions, etc., are the main significance of using the nonlinear oscillators in the vast majority of fields, especially in engineering structures. Nonlinear stiffness and friction in dynamical systems [1], complex beam and piezoelectric plate-based self-sustainable electromechanical models [2,3], nonlinear reinforced nanofibers [4], vibration caused by the interaction between vehicle and bridge [5], large amplitude vibration of beams [6][7][8][9][10][11][12] and dynamics of micro/nanoelectromechanical systems [13][14][15][16][17][18] are a few examples of nonlinear systems in the field of mechanical engineering. From the mathematical point of view, the Duffing oscillator, Van der Pol and Mathieu are well-known nonlinear equations.…”