title: Experimental verification of rank 1 chaos in switch-controlled Chua circuit.
abstract: In this paper, we provide the first experimental proof for the existence of rank 1 chaos in the switch-controlled Chua circuit by following a step-by-step procedure given by the theory of rank 1 maps. At the center of this procedure is a periodically kicked limit cycle obtained from the unforced system. Then, this limit cycle is subjected to periodic kicks by adding externally controlled switches to the original circuit. Both the smooth nonlinearity and the piecewise linear cases are considered in this experimental investigation. Experimental results are found to be in concordance with the conclusions of the theory.
authors.affiliation: Department of Mathematics, The University of Arizona, Tucson, Arizona 85721, USA. alioksas@email.arizona.edu
authors.forename: Ali
authors.initials: A
authors.lastname: Oksasoglu
authors.forename: Serdar
authors.initials: S
authors.lastname: Ozoguz
authors.forename: Ahmet S
authors.initials: AS
authors.lastname: Demirkol
authors.forename: Tayfun
authors.initials: T
authors.lastname: Akgul
authors.forename: Qiudong
authors.initials: Q
authors.lastname: Wang