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A route to chaos in a nonlinear oscillator with delay

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The paper presents an analysis of the transition from regular to chaotic motion in a Van der Pol-Duffing's oscillator with delay after a Hopf bifurcation. The conditions for the occurrence of the Hopf bifurcation have been determined by means of the approximate method. For the parameters near the bifurcation point a computer simulation of the vibrating system had been performed and the evolution of the system from regular motion to chaos has been analysed at the decrease of the value of the dimensionless damping coefficient.

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  1. J. Awrejcewicz

    Present address: Institute of Technical Mechanics, Technical University Braunschweig, Spielmannstrasse 11, D-3300, Braunschweig, Germany

Authors and Affiliations

  1. Institute of Applied Mechanics, Technical University of Ŀódź, B. Stefanowskiego 1/15, PL-90-457, Ŀódź, Poland

    J. Awrejcewicz

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  1. J. Awrejcewicz
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Awrejcewicz, J. A route to chaos in a nonlinear oscillator with delay. Acta Mechanica 77, 111–120 (1989). https://doi.org/10.1007/BF01379746

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  • DOI: https://doi.org/10.1007/BF01379746

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