On the piecewise-linear approximation of the polynomial chaotic dynamics

Author

Petrzela, Jiri

Author_Institution

Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic

fYear

2011

Firstpage

319

Lastpage

323

Abstract

This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Oread Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.

Keywords

Lyapunov methods; SPICE; chaos; nonlinear dynamical systems; piecewise linear techniques; polynomials; time-domain analysis; Lyapunov exponents calculation; Oread Pspice simulator; global dynamics; handmade picewise-linear approximation; integrator synthesis; polynomial chaotic dynamics; quadratic vector fields; real electronic circuits; third-order systems; time-domain analysis; Approximation methods; Chaotic communication; Differential equations; Mathematical model; Optimization; Oscillators; Dynamical system; Ljapunov exponents; Piecewise-linear approximation; chaotic dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications and Signal Processing (TSP), 2011 34th International Conference on

Conference_Location

Budapest

Print_ISBN

978-1-4577-1410-8

Type

conf

DOI

10.1109/TSP.2011.6043717

Filename

6043717