Aim of this paper is to introduce a procedure based on the harmonic balance method for the design of time-delay chaotic systems, starting from a simple feedback scheme consisting of a nonlinearity, a first-order integrator and a delay block. Through this approach, the conditions under which the considered scheme can show chaotic dynamics are discussed. Furthermore, guidelines to design circuital implementations of time-delay chaotic circuits are presented. In particular, a series of n Bessel filters in cascade is used to implement the time-delay. Following the proposed guidelines, a new chaotic circuit has been first designed and, then, implemented with off-the-shelf discrete components. © 2011 IFAC.
Harmonic balance method for time-delay chaotic systems design
Buscarino A.;Fortuna L.;Frasca M.;Sciuto G.;
2011-01-01
Abstract
Aim of this paper is to introduce a procedure based on the harmonic balance method for the design of time-delay chaotic systems, starting from a simple feedback scheme consisting of a nonlinearity, a first-order integrator and a delay block. Through this approach, the conditions under which the considered scheme can show chaotic dynamics are discussed. Furthermore, guidelines to design circuital implementations of time-delay chaotic circuits are presented. In particular, a series of n Bessel filters in cascade is used to implement the time-delay. Following the proposed guidelines, a new chaotic circuit has been first designed and, then, implemented with off-the-shelf discrete components. © 2011 IFAC.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
