RESEARCH OF CHAOTIC OSCILLATIONS IN NONLINEAR DYNAMICAL SYSTEMS

P. I. Kobylkina, Bauman Moscow State Technical University, Moscow, Russia

SYNCHROINFO JOURNAL. Volume 5, Number 4 (2019). P. 13-16.

Abstract

The report is devoted to research methods of chaotic oscillations in nonlinear dynamical systems with discontinuous and continuous time domain. Algorithms and computation programs of integral contours (process realizations), phase portraits of process – “strange” attractors, autocorrelation functions and spectral characteristics, calculation Lyapunov exponents and fractal dimensions of “strange” attractors are created and realized using MATHCAD.

Keywords: chaotic oscillation, chaotic oscillations generator, discontinuous and continuous nonlinear dynamical system, imageries, bifurcation diagram, Lyapunov exponent.

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