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Modeling and Multistability of Ion-Acoustic Waves in Titan’s Atmosphere

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Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

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Abstract

The nonlinear analysis of ion-acoustic wave (IAWs) in plasmas constituting of negative and positive ions and Maxwellian electrons is investigated under the framework of the nonlinear Schrödinger equation (NLSE). Using suitable transfiguration, the NLSE is transformed into a dynamical system (DS). To study dynamical features in the existence of an external perturbation periodic force, the DS is transformed into perturbed DS. The perturbed DS supported by the NLSE describes dynamical features such as chaos, quasiperiodicity, and multiperiodicity. The occurrence of multistability is shown for the perturbed DS supported by the NLSE. Through the Lyapunov exponent, the existence of chaos for the perturbed DS is made evident. The application of our study is relevant to examine the dynamic behaviors of the Titan’s atmosphere.

Supported by Dr. Ramdas Pai and Mrs. Vasanthi Pai endowment fund (letter no. 1018/SMIT/HR/Appt./ JRF/Maths/2018-04, dated 27/03/2018).

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Authors and Affiliations

  1. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, East-Sikkim, 737136, India

    Jharna Tamang & Asit Saha

Authors
  1. Jharna Tamang
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  2. Asit Saha
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Corresponding author

Correspondence to Jharna Tamang .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  2. School of Computing and Information Systems, University of Melbourne, Melbourne, VIC, Australia

    Rajkumar Buyya

  3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    S. Ponnusamy

  4. Department of Computer Science and Engineering, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debashis De

  5. Unconventional Computing Laboratory, Department of Computer Science and Creative Technologies, University of the West of England, Bristol, UK

    Andrew Adamatzky

  6. Faculty of Science, Engineering and Built Environment, Deakin University Geelong, Geelong, VIC, Australia

    Jemal H. Abawajy

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Tamang, J., Saha, A. (2021). Modeling and Multistability of Ion-Acoustic Waves in Titan’s Atmosphere. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_10

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