Slow Invariant Manifolds of Memristor-Based Chaotic Circuits
Year: 2024
Authors: Ginoux J.M., Meucci R., Chen G.R., Chua L.O.
Autors Affiliation: Natl Inst Opt CNR, Florence, Italy; City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China; Univ Calif Berkeley, EECS Dept, Berkeley, CA 94720 USA.
Abstract: This work presents an efficient approach for computing the slow invariant manifold of the fourth-order canonical memristor-based Chua circuits using the flow curvature method. First, the magnetic-flux and charge characteristic curve is generated from the classical circuit with a piecewise-linear function. Then, the characteristic curve is generated from the circuit with the piecewise-linear function replaced by a cubic function. Further, the duality principle is applied to studying such memristor-based circuits in the three-dimensional flux-linkage and charge phase space and then in the four-dimensional current-voltage phase space. It is demonstrated that the slow invariant manifolds of these fourth-order memristor-based chaotic circuits can be more directly computed for the first case than the second.
Journal/Review: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume: 34 (2) Pages from: 2430003-1 to: 2430003-12
KeyWords: Chaotic memristor circuit; duality principle; flow curvature method; slow invariant manifoldDOI: 10.1142/S0218127424300039