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Duffing-Type Oscillators with Amplitude-Independent Period

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Applied Non-Linear Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 93))

Abstract

Nonlinear oscillators with hardening and softening cubic Duffing nonlinearity are considered. Such classical conservative oscillators are known to have an amplitude-dependent period. In this work, we design oscillators with the Duffing-type restoring force but an amplitude-independent period. We present their Lagrangians, equations of motion, conservation laws, as well as solutions for motion.

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References

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Acknowledgements

Ivana Kovacic acknowledges support received from the Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina (Project No. 114-451-2094).

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Authors and Affiliations

  1. Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21125, Novi Sad, Serbia

    Ivana N. Kovacic

  2. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    Richard H. Rand

  3. Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, 14853, USA

    Richard H. Rand

Authors
  1. Ivana N. Kovacic
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  2. Richard H. Rand
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Corresponding author

Correspondence to Ivana N. Kovacic .

Editor information

Editors and Affiliations

  1. Department of Automation, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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Kovacic, I.N., Rand, R.H. (2014). Duffing-Type Oscillators with Amplitude-Independent Period. In: Awrejcewicz, J. (eds) Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-08266-0_1

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