Observing a codimension-two heteroclinic bifurcation.
This paper reports experimental observations of codimension-two heteroclinic bifurcations in an autonomous third-order electrical circuit. The paper also reports confirmations by computer simulations. In the laboratory experiments, a pair of programmable resistors are used in order to adjust two bifurcation parameters. In the associated two-parameter space, several codimension-one bifurcation sets are experimentally measured to capture codimension-two bifurcation structures. All of these bifurcation sets are numerically confirmed by exact bifurcation equations which are derived from piecewise-linear circuit dynamics.
Tokunaga
Ryuji
R
Institute of Information Science and Electronics, Tsukuba University, Tsukuba Science City 305, JapanDepartment of Electrical Engineering, Waseda University, Tokyo 169, JapanDepartment of Electrical Engineering, Waseda University, Tokyo 169, Japan.
Abe
Yasushi
Y
Matsumoto
Takashi
T