57 citations · 303 across the 42 of their papers we have counts for
9 papers · 1 filter
Dynamic Stabilization in The Double-Well Duffing Oscillator
Sang-Yoon Kim, Youngtae Kim
Bifurcations associated with stability of the saddle fixed point of the Poincaré map, arising from the unstable equilibrium point of the potential, are investigated in a forced Duf…
Nonlinear Dynamics of A Damped Magnetic Oscillator
Sang-Yoon Kim
We consider a damped magnetic oscillator, consisting of a permanent magnet in a periodically oscillating magnetic field. A detailed investigation of the dynamics of this dissipativ…
Critical Behavior of Period Doublings in Coupled Inverted Pendulums
Sang-Yoon Kim, Bambi Hu
We study the critical behaviors of period doublings in N (N=2,3,4,...) coupled inverted pendulums by varying the driving amplitude and the coupling strength . It is found th…
Intermittency in coupled maps
Sang-Yoon Kim
Using a renormalization method, we study the critical behavior for intermittency in two coupled one-dimensional (1D) maps. We find two fixed maps of the renormalization transformat…
Renormalization analysis of intermittency in two coupled maps
Sang-Yoon Kim
The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupl…
Bifurcations and Transitions to Chaos in An Inverted Pendulum
Sang-Yoon Kim, Bambi Hu
We consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its i…
Symmetry and Dynamics of A Magnetic Oscillator
Sang-Yoon Kim
We consider a permanent magnetic dipole in an oscillating magnetic field. This magnetic oscillator has two dynamical symmetries. With increasing the amplitude of the magnetic f…
Experimental Study of Bifurcations in A Parametrically Forced Pendulum
Sang-Yoon Kim, S. H. Shin, J. Yi +1
An experimental study of bifurcations associated with stability of stationary points (SP's) in a parametrically forced magnetic pendulum and a comparison of its results with numeri…
M-furcations in coupled maps
Sang-Yoon Kim
We study the scaling behavior of -furcation sequences of -period orbits in two coupled one-dimensional (1D) maps. Using a renormaliz…