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      https://www.ias.ac.in/article/fulltext/pram/085/05/0789-0805

    • Keywords

       

      Isochronous system; Liénard-type system; singular and nonsingular Hamiltonian.

    • Abstract

       

      In this paper, we briefly present an overview of the recent developments made in identifying/generating systems of Liénard-type nonlinear oscillators exhibiting isochronous properties, including linear, quadratic and mixed cases and their higher-order generalizations. There exists several procedures/methods in the literature to identify/generate isochronous systems. The application of local as well as nonlocal transformations and 𝛺-modified Hamiltonian method in identifying and generating systems exhibiting isochronous properties of arbitrary dimensions is also discussed in detail. The identified oscillators include singular and nonsingular Hamiltonian systems and PT-symmetric systems.

    • Author Affiliations

       

      Ajey K Tiwari1 A Durga Devi1 R Gladwin Pradeep2 V K Chandrasekar3

      1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India
      2. Department of Physics, KCG College of Technology, Karapakkam, Chennai 600 097, India
      3. Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613 401, India
    • Dates

       
  • Pramana – Journal of Physics | News

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