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Design of nonlinear isochronous oscillators

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Abstract

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.

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Acknowledgments

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

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, 21215, Novi Sad, Serbia

    Ivana Kovacic

  2. Department of Physics, Clark Atlanta University, Atlanta, GA, 30314, USA

    Ronald E. Mickens

Authors
  1. Ivana Kovacic
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  2. Ronald E. Mickens
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Correspondence to Ivana Kovacic.

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Kovacic, I., Mickens, R.E. Design of nonlinear isochronous oscillators. Nonlinear Dyn 81, 53–61 (2015). https://doi.org/10.1007/s11071-015-1972-x

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  • DOI: https://doi.org/10.1007/s11071-015-1972-x

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