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Nonlinear Physics, From Vibration Control to Rogue Waves and Beyond

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Title: Nonlinear Physics, From Vibration Control to Rogue Waves and Beyond
Description: This textbook is devoted to nonlinear physics, using the asymptotic perturbation method as a mathematical tool. The theory is developed systematically, starting with nonlinear oscillators, limit cycles and their bifurcations, followed by iterated nonlinear maps, continuous systems, nonlinear partial differential equations (NPDEs) and culminating with infinite-period bifurcation in the nonlinear Schrodinger equation and fractal and chaotic solutions in NPDEs.A remarkable feature of the book is its emphasis on applications. It offers several examples, and the scientific background is explained at an elementary level and closely integrated with the mathematical theory. In addition, it is ideal for an introductory course at the senior or first-year graduate level.
Authors: Attilio Maccari, Author
Resource Type: eBook.
Subjects: Perturbation (Mathematics), Nonlinear theories
Categories: MATHEMATICS / Differential Equations / Partial, SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3558722
RelevancyScore: 1110
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1109.74133300781
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  Data: Nonlinear Physics, From Vibration Control to Rogue Waves and Beyond
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  Data: This textbook is devoted to nonlinear physics, using the asymptotic perturbation method as a mathematical tool. The theory is developed systematically, starting with nonlinear oscillators, limit cycles and their bifurcations, followed by iterated nonlinear maps, continuous systems, nonlinear partial differential equations (NPDEs) and culminating with infinite-period bifurcation in the nonlinear Schrodinger equation and fractal and chaotic solutions in NPDEs.A remarkable feature of the book is its emphasis on applications. It offers several examples, and the scientific background is explained at an elementary level and closely integrated with the mathematical theory. In addition, it is ideal for an introductory course at the senior or first-year graduate level.
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    Classifications:
      – Code: 530.15
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Perturbation (Mathematics)
        Type: general
      – SubjectFull: Nonlinear theories
        Type: general
    Titles:
      – TitleFull: Nonlinear Physics, From Vibration Control to Rogue Waves and Beyond
        Type: main
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          Name:
            NameFull: Attilio Maccari, Author
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2022
            – D: 29
              M: 03
              Type: profile
              Y: 2023
          Identifiers:
            – Type: isbn-print
              Value: 9781527588172
            – Type: isbn-electronic
              Value: 9781527588189
          Titles:
            – TitleFull: Nonlinear Physics, From Vibration Control to Rogue Waves and Beyond
              Type: main
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