An Approximate Solution for Period-m Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity
Keyword(s):
The approximate analytical solutions of the period-m motions for a periodically forced, quadratic nonlinear oscillator are presented. The stability and bifurcation of such approximate solutions in the quadratic nonlinear oscillator are discussed. The bifurcation tree of period-1 to chaos is presented. Numerical simulations for period-1 to period-4 motions in such quadratic oscillator are carried out for comparison of approximate analytical solutions. Such an investigation provides how to analytically determine bifurcation of periodic motion to chaos.
2017 ◽
Vol 72
(1)
◽
pp. 59-69
◽
2017 ◽
Vol 1
(1)
◽
pp. 17-26
◽
2014 ◽
Vol 9
(3)
◽