The dynamics of the slow flow of a singular damped nonlinear system and it parametric study

J. O. Maaita, E. Meletlidou, Alexander F Vakakis, V. Rothos

Research output: Contribution to journalArticle


We study the dynamical behavior of the slow flow of a three degree of freedom dissipative system of linear coupled oscillators with an essentially nonlinear attachment and compare the behavior of the initial system to the Slow Invariant Manifold (SIM). The dynamics of the slow flow can be simple, making regular oscillations in the region of the stable branches of the SIM, having relaxation oscillations or chaotic behavior. The initial system oscillates in the region of the SIM, verifying that the SIM plays an essential role for the dynamics of the initial system.

Original languageEnglish (US)
Pages (from-to)37-49
Number of pages13
JournalJournal of Applied Nonlinear Dynamics
Issue number1
StatePublished - Jan 1 2014



  • Chaotic behavior
  • Dynamics of the slow flow
  • Relaxation oscillations
  • Slow invariant manifold

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering

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