Complex Variables in Nonlinear Dynamics

  • I. Andrianov
  • J. Awrejcewicz
  • L. I. Manevitch
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


When dealing with continualization of thin-walled structures with discrete reinforcing elements (see sections 10.3–10.5), a long wavelength asymptotics is usually implied. As this takes place, short wave length processes are excluded from consideration. Meantime, such processes can be important in many cases, especially for high frequency excitations. Similar situation was described in section 10.10 in application to a beam with concentrated masses and discrete supports.


Slow Time Nonlinear Oscillator Complex Representation Couple Oscillator Infinite Chain 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • I. Andrianov
    • 1
    • 2
  • J. Awrejcewicz
    • 3
  • L. I. Manevitch
    • 4
  1. 1.KölnGermany
  2. 2.Pridneprovskaya State Academy of Civil Engineering and ArchitectureDnepropetrovkUkraine
  3. 3.Dept. of Automatics and BiomechanicsTechnical University LodzLodzPoland
  4. 4.N. N. Semenov Institute of Chemical Physics RASMoscowRussian Federation

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