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ON AUTOPARAMETRIC ROUTE LEADING TO CHAOS IN DYNAMICAL SYSTEMS

S. N. VLADIMIROV

Department of Radio Physics, Tomsk State University, Lenin av. 36, 634050, Tomsk, Russia

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and

V. V. NEGRUL

Department of Radio Physics, Tomsk State University, Lenin av. 36, 634050, Tomsk, Russia

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https://doi.org/10.1142/S0218127402004711Cited by:4 (Source: Crossref)

Abstract

Features of transition from regular types of oscillations to chaos in dynamic systems with finite and infinite dimensionality of phase space have been discussed. It has been found that for some types of nonlinearity, transition to the chaotic motion in these systems occurs according to the identical autoparametric scenario. The sequence of bifurcation phenomena looks as follows: equilibrium state ⇒ limit cycle ⇒ semitorus ⇒ strange attractor. On the basis of the results of numerical simulation a conclusion was made about the typical nature of such a scenario. The results of numerical calculations are confirmed by results of physical experiments carried out on the base of radiophysical self-oscillatory systems.

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