57 citations · 303 across the 42 of their papers we have counts for
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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…