| Record ID | ia:nonlinearordinar0000jord_s5t6 |
| Source | Internet Archive |
| Download MARC XML | https://archive.org/download/nonlinearordinar0000jord_s5t6/nonlinearordinar0000jord_s5t6_marc.xml |
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008 990203s1999 enka b 001 0 eng
010 $a 99017648
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020 $a0198565631$q(hbk.)
020 $a9780198565635$q(hbk.)
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050 00 $aQA372$b.J58 1999
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100 1 $aJordan, D. W.$q(Dominic William),$eauthor.
245 10 $aNonlinear ordinary differential equations :$ban introduction to dynamical systems /$cD.W. Jordan and P. Smith.
250 $a3rd ed.
260 $aOxford [England] ;$aNew York :$bOxford University Press,$c1999.
300 $ax, 550 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aOxford applied and engineering mathematics ;$v2
504 $aIncludes bibliographical references (pages 539-541) and index.
505 00 $g1.$tSecond-order differential equations in the phase plane --$g2.$tPlane autonomous systems and linearization --$g3.$tGeometrical aspects of plane autonomous systems --$g4.$tPeriodic solutions; averaging methods --$g5.$tPerturbation methods --$g6.$tSingular perturbation methods --$g7.$tForced oscillations: harmonic and subharmonic response, stability, and entrainment --$g8.$tStability --$g9.$tDetermination of stability by solution perturbation --$g10.$tLiapunov methods for determining stability of the zero solution --$g11.$tThe existence of periodic solutions --$g12.$tBifurcations and manifolds --$g13.$tPoincare sequences, homoclinic bifurcation, and chaos --$tHints and answers to the problems --$gAppendix A.$tExistence and uniqueness theorems --$gAppendix B.$tTopographic systems --$gAppendix C.$tNorms for vectors and matrices --$gAppendix D.$tA contour integral.
520 8 $aThe text of this edition has been revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. It is directed towards practical applications of the theory with examples and problems.
650 0 $aDifferential equations, Nonlinear.
650 7 $aDifferential equations, Nonlinear.$2fast$0(OCoLC)fst00893474
650 17 $aDifferentiaalvergelijkingen.$2gtt
650 17 $aNiet-lineaire vergelijkingen.$2gtt
650 7 $aSystèmes dynamiques.$2ram
650 7 $aÉquations différentielles non linéaires.$2ram
700 1 $aSmith, Peter,$d1935-$eauthor.
830 0 $aOxford applied and engineering mathematics ;$v2.
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/enhancements/fy0606/99017648-t.html
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0606/99017648-d.html
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