title: Observing a codimension-two heteroclinic bifurcation.
abstract: 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.
authors.affiliation: 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.
authors.forename: Ryuji
authors.initials: R
authors.lastname: Tokunaga
authors.forename: Yasushi
authors.initials: Y
authors.lastname: Abe
authors.forename: Takashi
authors.initials: T
authors.lastname: Matsumoto