Chaotic Motion in Nonlinear System with Coulomb Damping

  • S. Narayanan
  • K. Jayaraman
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


Chaotic motion of a harmonically excited nonlinear system with Coulomb damping is investigated in a range of excitation frequencies.Phase plane diagrams,Poincare’maps, time histories and power spectral densities are obtained and Lyapunov exponents are computed.Period doubling route to chaos is observed in certain frequency ranges which is explained using harmonic balance analysis.The stability of the strange attractors with respect to initial conditions is investigated by interpolated cell mapping technique.


Lyapunov Exponent Power Spectral Density Phase Plane Chaotic Motion Strange Attractor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Awrejcewicz, J., Chaos in Simple Mechanical System with Friction. J. Sound and Vibration, 109 (1986) 178–180.CrossRefADSMathSciNetGoogle Scholar
  2. 2.
    Szemplinska-Stupnicka, W., Secondary Resonances and Approximate Models of Route to Chaotic Motion in Nonlinear Oscillators. J. Sound and Vibration 113 (1987) 155–172.CrossRefMathSciNetGoogle Scholar
  3. 3.
    Tongue, B.H. and Gu, K., Interpolated Cell mapping of Dynamical Systems ASME J. App. Mech. 55 (1988) 461–466CrossRefMATHMathSciNetGoogle Scholar
  4. 4.
    Wolf, A., Swift, J.B., Swinney, H.L. and Vastano, J.A., Determining Lyapunov Exponents from Time Series Physica 16D (1985) 285–317MATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • S. Narayanan
    • 1
  • K. Jayaraman
    • 2
  1. 1.Department of Applied MechanicsIndian Institute of TechnologyMadrasIndia
  2. 2.Department of Aeronautical EngineeringMITMadras 44India

Personalised recommendations