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On the Frequency-Amplitude Formulation for Nonlinear Oscillators with General Initial Conditions

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Abstract

This paper extends the frequency-amplitude formulation to solve nonlinear conservative oscillators with general initial conditions. The obtained result is exactly as that by the Hamiltonian approach. As the solution process is extremely simple, this method can be used for fast insight of periodic properties of a nonlinear vibration system.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China

    Ji-Huan He

  2. Xi’an University of Architecture and Technology, Xi’an, 710055, China

    Ji-Huan He

  3. National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, China

    Ji-Huan He

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He, JH. On the Frequency-Amplitude Formulation for Nonlinear Oscillators with General Initial Conditions. Int. J. Appl. Comput. Math 7, 111 (2021). https://doi.org/10.1007/s40819-021-01046-x

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