LEADER 01670nam 2200253la 450 001 9910481928703321 005 20221108061244.0 035 $a(UK-CbPIL)2090300208 035 $a(CKB)5500000000086584 035 $a(EXLCZ)995500000000086584 100 $a20210618d1657 uy | 101 0 $adut 135 $aurcn||||a|bb| 200 10$aBellerophon, of lust tot wysheyt: door Sinne-Beelden leerl?ck vertoont. Waer by z?n gevoeght De Vrol?cke Stemmen: of, Stichtige en vermaeckl?cke Liedekens en Dichten ... Waer by noch konnen ghebonden werden, het Tweede-deel Urania of Hemel-sang, als mede het Derde-deel, Ghesangh der zeden. Dirck Pietersz Pers en op 't nieuw doorgaens vermeerdert, en verb., en met de alderschoonste voysen op mus?cknooten ghepast, en met konst-platen geciert$b[electronic resource] 210 $aAmsterdam $cWillem van Beaumont$d1657 215 $aOnline resource (3 dl, 8°) 300 $aReproduction of original in Koninklijke Bibliotheek, Nationale bibliotheek van Nederland. 700 $aPers$b Dirck Pietersz.$f approximately 1581-1662.$0867692 801 0$bUk-CbPIL 801 1$bUk-CbPIL 906 $aBOOK 912 $a9910481928703321 996 $aBellerophon, of lust tot wysheyt: door Sinne-Beelden leerl?ck vertoont. Waer by z?n gevoeght De Vrol?cke Stemmen: of, Stichtige en vermaeckl?cke Liedekens en Dichten ... Waer by noch konnen ghebonden werden, het Tweede-deel Urania of Hemel-sang, als mede het Derde-deel, Ghesangh der zeden. Dirck Pietersz Pers en op 't nieuw doorgaens vermeerdert, en verb., en met de alderschoonste voysen op mus?cknooten ghepast, en met konst-platen geciert$91954644 997 $aUNINA LEADER 03646nam 2200637 a 450 001 9910437869203321 005 20200520144314.0 010 $a1-283-90992-8 010 $a0-8176-8370-4 024 7 $a10.1007/978-0-8176-8370-2 035 $a(CKB)3400000000085981 035 $a(EBL)1081657 035 $a(OCoLC)812453211 035 $a(SSID)ssj0000767033 035 $a(PQKBManifestationID)11943492 035 $a(PQKBTitleCode)TC0000767033 035 $a(PQKBWorkID)10732524 035 $a(PQKB)10468115 035 $a(DE-He213)978-0-8176-8370-2 035 $a(MiAaPQ)EBC1081657 035 $a(PPN)168288656 035 $a(EXLCZ)993400000000085981 100 $a20120830d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeography of order and chaos in mechanics $einvestigations of quasi-integrable systems with analytical, numerical, and graphical tools /$fBruno Cordani 205 $a1st ed. 2013. 210 $aNew York $cBirkhauser$d2013 215 $a1 online resource (346 p.) 225 0$aProgress in mathematical physics ;$vv. 64 300 $aDescription based upon print version of record. 311 $a1-4939-0044-7 311 $a0-8176-8369-0 320 $aIncludes bibliographical references and index. 327 $aPreface -- List of Figures -- 1 Introductory Survey -- 2 Analytical Mechanics and Integrable Systems -- 3 Perturbation Theory -- 4 Numerical Tools I: ODE Integration -- 5 Numerical Tools II: Detecting Order, Chaos, and Resonances -- 6 The Kepler Problem -- 7 The KEPLER Program -- 8 Some Perturbed Keplerian Systems -- 9 The Multi-Body Gravitational Problem -- Bibliography -- Index. 330 $aThis original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems?including for example the hydrogen atom or the solar system, with the associated Arnold web?through modern tools such as the frequency-modified fourier transform, wavelets, and the frequency-modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics contains many figures that illuminate its concepts in novel ways, but perhaps its most useful feature is its inclusion of software to reproduce the various numerical experiments. The graphical user interfaces of five supplied MATLAB programs allows readers without any knowledge of computer programming to visualize and experiment with the distribution of order, chaos and resonances in various Hamiltonian systems. This monograph will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory. 410 0$aProgress in Mathematical Physics,$x1544-9998 ;$v64 606 $aStatistical mechanics 606 $aMechanics$xMathematical models 606 $aMathematical analysis 615 0$aStatistical mechanics. 615 0$aMechanics$xMathematical models. 615 0$aMathematical analysis. 676 $a515.39 676 $a530.15 700 $aCordani$b Bruno$0725973 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437869203321 996 $aGeography of Order and Chaos in Mechanics$92532103 997 $aUNINA