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    Nonlinear Dynamical Systems, Their Stability, and ChaosLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

    Source: Applied Mechanics Reviews:;2014:;volume( 066 ):;issue: 002::page 24802
    Author:
    Marathe, Amol
    ,
    Govindarajan, Rama
    DOI: 10.1115/1.4026864
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This introduction to nonlinear systems is written for students of fluid mechanics, so connections are made throughout the text to familiar fluid flow systems. The aim is to present how nonlinear systems are qualitatively different from linear and to outline some simple procedures by which an understanding of nonlinear systems may be attempted. Considerable attention is paid to linear systems in the vicinity of fixed points, and it is discussed why this is relevant for nonlinear systems. A detailed explanation of chaos is not given, but a flavor of chaotic systems is presented. The focus is on physical understanding and not on mathematical rigor.
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      Nonlinear Dynamical Systems, Their Stability, and ChaosLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013

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    https://yetl.yabesh.ir/yetl1/handle/yetl/153683
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    contributor authorMarathe, Amol
    contributor authorGovindarajan, Rama
    date accessioned2017-05-09T01:04:27Z
    date available2017-05-09T01:04:27Z
    date issued2014
    identifier issn0003-6900
    identifier otheramr_066_02_024802.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153683
    description abstractThis introduction to nonlinear systems is written for students of fluid mechanics, so connections are made throughout the text to familiar fluid flow systems. The aim is to present how nonlinear systems are qualitatively different from linear and to outline some simple procedures by which an understanding of nonlinear systems may be attempted. Considerable attention is paid to linear systems in the vicinity of fixed points, and it is discussed why this is relevant for nonlinear systems. A detailed explanation of chaos is not given, but a flavor of chaotic systems is presented. The focus is on physical understanding and not on mathematical rigor.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Dynamical Systems, Their Stability, and ChaosLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013
    typeJournal Paper
    journal volume66
    journal issue2
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.4026864
    journal fristpage24802
    journal lastpage24802
    identifier eissn0003-6900
    treeApplied Mechanics Reviews:;2014:;volume( 066 ):;issue: 002
    contenttypeFulltext
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