MARC record from Internet Archive

LEADER: 04310cam 2200649 a 4500
001 ocm36543416
003 OCoLC
005 20200427051618.0
008 970304s1998 nyua b 001 0 eng
010 $a 97009275
040 $aDLC$beng$cDLC$dUKM$dBAKER$dBTCTA$dYDXCP$dOCLCG$dDEBBG$dOCLCQ$dOCLCO$dOCLCF$dOCLCQ$dUAF$dNAG$dOCLCO
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035 $a(OCoLC)36543416$z(OCoLC)38883980$z(OCoLC)810880022
050 00 $aQA845$b.K34 1998
082 00 $a531/.11$221
084 $aUG 3900$2rvk
100 1 $aKahn, Peter B.
245 10 $aNonlinear dynamics :$bexploration through normal forms /$cPeter B. Kahn, Yair Zarmi.
260 $aNew York :$bWiley,$c℗♭1998.
300 $axiv, 401 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aWiley series in nonlinear science
504 $aIncludes bibliographical references and index.
505 0 $a1. The Text: Its Scope, Style, and Content -- 2. Basic Concepts -- 3. Naive Perturbation Theory (NPT) -- 4. Formalism of Perturbation Expansion -- 5. Problems with Eigenvalues That Have Negative Real Part -- 6. Normal Form Expansion for Conservative Planar Systems -- 7. Dissipative Planar Systems -- 8. Nonautonomous Oscillatory Systems -- 9. Problems with a Zero Eigenvalue -- 10. Higher-Dimensional Hamiltonian Systems -- 11. Higher-Dimensional Dissipative Systems -- Appendix. Conservative System with One Degree of Freedom: Calculation of the Period.
520 $aNormal forms are among the most powerful mathematical tools available to researchers investigating nonlinear dynamical systems. Using the normal forms method, physicists and engineers can simplify complex systems in order to isolate and study, with relative ease, the vibrations, oscillations, bifurcations, and other dynamical attributes of those systems. Nonlinear Dynamics begins with an introduction to the basic concepts underlying the normal forms method and the role of freedom in the near-identity transformation that is the key to its development. Coverage then shifts to an investigation of systems with one degree of freedom (conservative and dissipative) that model electrical and mechanical oscillations and vibrations where the force has a dominant linear term and a small nonlinear one. The authors consider the rich variety of nonautonomous problems that arise during the study of forced oscillatory motion. Topics covered include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, orbits in celestial mechanics, electrical circuits, nuclear magnetic resonance, and resonant oscillations of charged particles due to multipole errors in guiding magnetic fields in particle accelerators.
650 0 $aDynamics.
650 0 $aNonlinear theories.
650 0 $aNormal forms (Mathematics)
650 7 $aDynamics.$2fast$0(OCoLC)fst00900295
650 7 $aNonlinear theories.$2fast$0(OCoLC)fst01038812
650 7 $aNormal forms (Mathematics)$2fast$0(OCoLC)fst01039121
650 7 $aDYNAMIC STRUCTURAL ANALYSIS.$2nasat
650 7 $aNONLINEAR SYSTEMS.$2nasat
650 7 $aNORMAL DENSITY FUNCTIONS.$2nasat
650 7 $aNORMALITY.$2nasat
650 7 $aNONLINEARITY.$2nasat
650 7 $aNichtlineare Dynamik$2gnd
650 7 $aNormalform$2gnd
700 1 $aZarmi, Yair,$d1942-
830 0 $aWiley series in nonlinear science.
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/toc/onix02/97009275.html
856 42 $3Contributor biographical information$uhttp://catdir.loc.gov/catdir/bios/wiley041/97009275.html
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/description/wiley031/97009275.html
938 $aBaker & Taylor$bBKTY$c140.00$d140.00$i0471176826$n0002989153$sactive
938 $aBaker and Taylor$bBTCP$n97009275
938 $aYBP Library Services$bYANK$n1402343
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994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 163 OTHER HOLDINGS