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Coexistence of Chaotic, Quasiperiodic and Multiperiodic Features in Quantum Plasma

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Proceedings of the Seventh International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1412))

Abstract

Coexistence of chaotic, quasiperiodic and multiperiodic features of arbitrary amplitude quantum ion-acoustic waves are rigorously discussed in a quantum plasma consisting of electrons and ions. A conservative dynamical system of four dimensions is proposed to investigate the dynamics of quantum ion-acoustic waves. The system shows qualitatively different dynamical features at different initial conditions with specific values of physical parameters for quantum ion-acoustic waves. Tools, such as, coexisting phase spaces and plots of time series and Lyapunov exponents are employed to validate the results.

Barsha Pradhan is grateful to Sikkim Manipal University for TMA Pai University research grant (Ref. No. 118/SMU/REG/UOO/104/2019) dated 15-07-2019.

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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

    Barsha Pradhan & Asit Saha

Authors
  1. Barsha Pradhan
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  2. Asit Saha
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Editor information

Editors and Affiliations

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

    Debasis Giri

  2. The University of Texas at San Antonio, San Antonio, TX, USA

    Kim-Kwang Raymond Choo

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

    Saminathan Ponnusamy

  4. Technical University of Denmark, Kongens Lyngby, Denmark

    Weizhi Meng

  5. Department of Computer Engineering, Ondokuz Mayis University, Atakum, Turkey

    Sedat Akleylek

  6. Department of Information Technology, Indian Institute of Engineering Science and Technology, West Bengal, India

    Santi Prasad Maity

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Pradhan, B., Saha, A. (2022). Coexistence of Chaotic, Quasiperiodic and Multiperiodic Features in Quantum Plasma. In: Giri, D., Raymond Choo, KK., Ponnusamy, S., Meng, W., Akleylek, S., Prasad Maity, S. (eds) Proceedings of the Seventh International Conference on Mathematics and Computing . Advances in Intelligent Systems and Computing, vol 1412. Springer, Singapore. https://doi.org/10.1007/978-981-16-6890-6_68

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