Nonlinear Dynamics

, Volume 81, Issue 1–2, pp 53–61 | Cite as

Design of nonlinear isochronous oscillators

  • Ivana Kovacic
  • Ronald E. Mickens
Original Paper


This study provides two theorems defining two classes of conservative nonlinear oscillators that have some characteristics of the linear harmonic oscillators, one of which is an amplitude-independent period. These theorems also define their response in terms of initial conditions. The first class of these nonlinear oscillators is also characterized by a constant amplitude, while the amplitude of the second one decreases in time. A few illustrative examples are also presented.


Amplitude-independent period Nonlinear oscillators  Generalized harmonic oscillators Constant amplitude Decreasing amplitude 



Ivana Kovacic acknowledges support received from the Ministry of Science, Republic of Serbia (Project No. ON174028).


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia
  2. 2.Department of PhysicsClark Atlanta UniversityAtlantaUSA

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