title: Finite-time synchronization of tunnel-diode-based chaotic oscillators.
abstract: This paper addresses the problem of finite-time synchronization of tunnel diode based chaotic oscillators. After a brief investigation of its chaotic dynamics, we propose an active adaptive feedback coupling which accomplishes the synchronization of tunnel-diode-based chaotic systems with and without the presence of delay(s), basing ourselves on Lyapunov and on Krasovskii-Lyapunov stability theories. This feedback coupling could be applied to many other chaotic systems. A finite horizon can be arbitrarily established by ensuring that chaos synchronization is achieved at a pre-established time. An advantage of the proposed feedback coupling is that it is simple and easy to implement. Both mathematical investigations and numerical simulations followed by pspice experiment are presented to show the feasibility of the proposed method.
authors.affiliation: Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon.
authors.forename: Patrick
authors.initials: P
authors.lastname: Louodop
authors.affiliation: Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon.
authors.forename: Hilaire
authors.initials: H
authors.lastname: Fotsin
authors.affiliation: Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon.
authors.forename: Michaux
authors.initials: M
authors.lastname: Kountchou
authors.affiliation: Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon.
authors.forename: Elie B Megam
authors.initials: EB
authors.lastname: Ngouonkadi
authors.affiliation: Instituto de Física Teórica, UNESP, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra Funda, 01140-070 São Paulo, Brazil.
authors.forename: Hilda A
authors.initials: HA
authors.lastname: Cerdeira
authors.affiliation: Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon.
authors.forename: Samuel
authors.initials: S
authors.lastname: Bowong