LEADER 02752nam 22006134a 450 001 9910456142403321 005 20200520144314.0 010 $a1-282-75766-0 010 $a9786612757662 010 $a981-283-882-1 035 $a(CKB)2490000000001849 035 $a(EBL)731335 035 $a(OCoLC)670430585 035 $a(SSID)ssj0000416642 035 $a(PQKBManifestationID)11280018 035 $a(PQKBTitleCode)TC0000416642 035 $a(PQKBWorkID)10422110 035 $a(PQKB)11266704 035 $a(MiAaPQ)EBC731335 035 $a(WSP)00007183 035 $a(Au-PeEL)EBL731335 035 $a(CaPaEBR)ebr10422260 035 $a(CaONFJC)MIL275766 035 $a(EXLCZ)992490000000001849 100 $a20100823d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElegant chaos$b[electronic resource] $ealgebraically simple chaotic flows /$fJulien Clinton Sprott 210 $aNew Jersey $cWorld Scientific$dc2010 215 $a1 online resource (304 p.) 300 $aDescription based upon print version of record. 311 $a981-283-881-3 320 $aIncludes bibliographical references (p. 265-280) and index. 327 $aPreface; Contents; List of Tables; 1. Fundamentals; 2. Periodically Forced Systems; 3. Autonomous Dissipative Systems; 4. Autonomous Conservative Systems; 5. Low-dimensional Systems (D 3); 7. Circulant Systems; 8. Spatiotemporal Systems; 9. Time-Delay Systems; 10. Chaotic Electrical Circuits; Bibliography; Index 330 $aThis heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos.The 606 $aLyapunov exponents 606 $aFlows (Differentiable dynamical systems) 606 $aChaotic behavior in systems$xMathematics 608 $aElectronic books. 615 0$aLyapunov exponents. 615 0$aFlows (Differentiable dynamical systems) 615 0$aChaotic behavior in systems$xMathematics. 676 $a515/.35 700 $aSprott$b Julien C$042637 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910456142403321 996 $aElegant chaos$92274451 997 $aUNINA