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LEADER 00000cam  2200733Ki 4500 
001    812453211 
003    OCoLC 
005    20181101051144.9 
006    m     o  d         
007    cr cnu---unuuu 
008    121010s2013    nyu     ob    001 0 eng d 
010    2012948333 
019    829751977|a859158647|a985064970|a988820917|a1005821092
020    9780817683702|q(electronic bk.) 
020    0817683704|q(electronic bk.) 
020    0817683690 
020    9780817683696 
020    9781283909921|q(MyiLibrary) 
020    1283909928|q(MyiLibrary) 
020    |z9780817683696 
020    |z1493900447 
020    |z9781493900442 
035    (OCoLC)812453211|z(OCoLC)829751977|z(OCoLC)859158647
037    422242|bMIL 
040    GW5XE|beng|epn|erda|cGW5XE|dYDXCP|dE7B|dCOO|dOCLCQ|dZMC
049    MAIN 
050  4 QC21.3|b.C67 2013 
072  7 SCI|x041000|2bisacsh 
072  7 SCI|2eflch 
072  7 SCI|x024000|2bisacsh 
072  7 SCI|x055000|2bisacsh 
082 04 530.15|223 
100 1  Cordani, Bruno,|d1945-|0
245 10 Geography of order and chaos in mechanics :
       |binvestigations of quasi-integrable systems with 
       analytical, numerical, and graphical tools /|cBruno 
264  1 New York, NY :|bBirkhauser,|c2013. 
300    1 online resource. 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc|0
347    text file|2rdaft|0
490 1  Progress in mathematical physics ;|vv. 64 
504    Includes bibliographical references and index. 
505 00 |tIntroductory Survey --|tAnalytical Mechanics and 
       Integrable Systems --|tPerturbation Theory --|tNumerical 
       Tools I: ODE Integration --|tNumerical Tools II: Detecting
       Order, Chaos, and Resonances --|tThe Kepler Problem --
       |tThe KEPLER Program --|tSome Perturbed Keplerian Systems 
       --|tThe Multi-Body Gravitational Problem --|tFinal Remarks
       and Perspectives. 
520    This original monograph aims to explore the dynamics in 
       the particular but very important and significant case of 
       quasi-integrable Hamiltonian systems, or integrable 
       systems slightly perturbed by other forces. With both 
       analytic and numerical methods, the book studies several 
       of these systems--including for example the hydrogen atom 
       or the solar system, with the associated Arnold web--
       through modern tools such as the frequency-modified 
       fourier transform, wavelets, and the frequency-modulation 
       indicator. Meanwhile, it draws heavily on the more 
       standard KAM and Nekhoroshev theorems. Geography of Order 
       and Chaos in Mechanics contains many figures that 
       illuminate its concepts in novel ways, but perhaps its 
       most useful feature is its inclusion of software to 
       reproduce the various numerical experiments. The graphical
       user interfaces of five supplied MATLAB programs allows 
       readers without any knowledge of computer programming to 
       visualize and experiment with the distribution of order, 
       chaos and resonances in various Hamiltonian systems. This 
       monograph will be a valuable resource for professional 
       researchers and certain advanced undergraduate students in
       mathematics and physics, but mostly will be an exceptional
       reference for Ph. D. students with an interest in 
       perturbation theory. 
650  0 Mathematical physics.|0
650  0 Differential equations.|0
653  4 Mathematics. 
653  4 Differential equations, partial. 
653  4 Global differential geometry. 
653  4 Mathematical physics. 
653  4 Differential Geometry. 
653  4 Nonlinear Dynamics. 
653  4 Partial Differential Equations. 
653  4 Numerical and Computational Physics. 
653  4 Mathematical Methods in Physics. 
655  4 Electronic books. 
776 08 |iPrint version:|z9781283909921 
830  0 Progress in mathematical physics ;|0
       authorities/names/n2001000325|vv. 64. 
990    SpringerLink|bSpringer English/International eBooks 2013 -
       Full Set|c2018-10-31|yNew collection 
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