This paper presents a semi-analytical method for periodic flows in continuous nonlinear
dynamical systems. For the semi-analytical approach, differential equations of nonlinear …

In this paper, bifurcation trees of periodic motions in a periodically forced, time-delayed,
hardening Duffing oscillator are analytically predicted by a semi-analytical method. Such a …

In this paper, bifurcation trees of periodic motions to chaos in a periodically forced, time-
delayed, twin-well Duffing oscillator are pre-dicted by a semi-analytical method. The twin …

In this paper, complex symmetric and asymmetric period-1 motions in a periodically forced,
time-delayed, hardening Duffing oscillator are predicted through an implicit discrete map …

In this paper, periodic motions in a periodically excited, Duffing oscillator with a time-delayed
displacement are investigated through the Fourier series, and the stability and bifurcation of …

In this paper, bifurcation trees of period-3 motions to chaos in a periodically forced, time-
delayed, twin-well Duffing oscillator are investigated. Such period-3 motions and …

In this paper, time-delay effects on periodic motions in a periodi-cally forced, time-delayed,
hardening Duffing oscillator are discussed. One often considers the time-delay interval is …

In this paper, bifurcation trees of period-3 motions to chaos in a periodically forced, time-
delayed, hardening Duffing oscillator are investigated by a semi-analytical method. This …

In this chapter, time-delay effects on periodic motions in a periodically forced, time-delayed,
hardening Duffing oscillator are reviewed and further discussed. Bifurcation trees of periodic …

The inherent complex dynamics of a parametrically excited pendulum is of great interest in
nonlinear dynamics, which can help one better understand the complex world. Even though …