02718nam 22006014a 450 991078088280332120230214174409.01-282-75766-09786612757662981-283-882-1(CKB)2490000000001849(EBL)731335(OCoLC)670430585(SSID)ssj0000416642(PQKBManifestationID)11280018(PQKBTitleCode)TC0000416642(PQKBWorkID)10422110(PQKB)11266704(MiAaPQ)EBC731335(WSP)00007183(Au-PeEL)EBL731335(CaPaEBR)ebr10422260(CaONFJC)MIL275766(EXLCZ)99249000000000184920100823d2010 uy 0engur|n|---|||||txtccrElegant chaos[electronic resource] algebraically simple chaotic flows /Julien Clinton SprottNew Jersey World Scientificc20101 online resource (304 p.)Description based upon print version of record.981-283-881-3 Includes bibliographical references (p. 265-280) and index.Preface; 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; IndexThis 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.TheLyapunov exponentsFlows (Differentiable dynamical systems)Chaotic behavior in systemsMathematicsLyapunov exponents.Flows (Differentiable dynamical systems)Chaotic behavior in systemsMathematics.515/.35Sprott Julien C42637MiAaPQMiAaPQMiAaPQBOOK9910780882803321Elegant chaos3849627UNINA