LEADER 00000cam a2200685Ma 4500 001 ocn820944455 003 OCoLC 005 20160527041052.9 006 m o d 007 cr cn||||||||| 008 090522s2008 si a ob 001 0 eng d 019 850162967 020 9789812790637|q(electronic book) 020 9812790632|q(electronic book) 035 (OCoLC)820944455|z(OCoLC)850162967 040 LGG|beng|epn|cLGG|dOCLCO|dN$T|dE7B|dOCLCA|dYDXCP|dEBLCP |dDEBSZ|dOCLCQ|dOCLCO|dOCLCQ 049 RIDW 050 4 Q172.5.C45 072 7 SCI|x012000|2bisacsh 082 04 003.857|222 090 Q172.5.C45 100 1 Bilotta, Eleonora.|0https://id.loc.gov/authorities/names/ n99007103 245 12 A gallery of Chua attractors /|cEleonora Bilotta, Pietro Pantano. 264 1 Singapore ;|aHackensack, N.J. :|bWorld Scientific Pub. Co., |c[2008] 264 4 |c©2008 300 1 online resource. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 World Scientific series on nonlinear science. Series A, Monographs and treatises ;|vv. 61 504 Includes bibliographical references and index. 505 0 Ch. 1. Chua's oscillator and its generalizations. 1. Introduction. 2. Chua oscillator. 3. Diode with cubic function. 4. n-Scroll attractors. 5. From chaos to hyperchaos. 6. A gallery of Chua attractors. 7. Conclusions -- ch. 2. The physical circuit. 1. Introduction. 2. A gallery of attractors. 3. Visualization issues. 4. Conclusions -- ch. 3. Dimensionless equations. 1. Introduction. 2. Information seeking in chaos domain. 3. The main features of the gallery. 4. Representing parameter space. 5. Conclusions -- ch. 4. The cubic equation. 1. Introduction. 2. A gallery of attractors. 3. Representations of parameter space. 4. Laws of morphogenesis. 5. Shape distance in phase space. 6. Conclusions -- ch. 5. Single-scroll systems. 1. Introduction. 2. The gallery of attractors. 3. Representing attractors in parameter space. 4. Visualizing the parameter space: the inertial ellipsoid method. 5. Visualizing parameter space: The Hausdorff distance method. 6. Conclusions -- ch. 6. Multiscrolls systems. 1. Introduction. 2. Formal aspects of n-Scroll, hyper-chaotic and synchronized systems. 3. The Gallery. 4. Computational tools. 5. The virtual museum and the navigable galleries. 6. Conclusions. 520 Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua's oscillator (1986) - a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua's circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce. This book aims to bridge the gap. A gallery of nearly 900 "chaotic attractors"--Some generated by Chua's physical circuit, the majority through computer simulation of the circuit and its generalizations - are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Chaotic behavior in systems|0https://id.loc.gov/ authorities/subjects/sh85022562|xSimulation methods. |0https://id.loc.gov/authorities/subjects/sh99005303 650 0 Nonlinear oscillators.|0https://id.loc.gov/authorities/ subjects/sh85092330 650 0 Attractors (Mathematics)|0https://id.loc.gov/authorities/ subjects/sh97005887 650 0 Computer art.|0https://id.loc.gov/authorities/subjects/ sh85029482 650 0 Computer music.|0https://id.loc.gov/authorities/subjects/ sh85029511 650 7 Chaotic behavior in systems.|2fast|0https:// id.worldcat.org/fast/852171 650 7 Simulation methods.|2fast|0https://id.worldcat.org/fast/ 1119166 650 7 Nonlinear oscillators.|2fast|0https://id.worldcat.org/fast /1038806 650 7 Attractors (Mathematics)|2fast|0https://id.worldcat.org/ fast/820911 650 7 Computer art.|2fast|0https://id.worldcat.org/fast/872033 650 7 Computer music.|2fast|0https://id.worldcat.org/fast/872274 655 4 Electronic books. 655 7 Computer music.|2fast|0https://id.worldcat.org/fast/ 1726566 700 1 Pantano, Pietro.|0https://id.loc.gov/authorities/names/ n99007105 740 0 Music from a gallery of Chua attractors. 776 08 |iPrint version:|aBilotta, Eleonora.|tA Gallery of Chua Attractors : (With Dvd-Rom).|dSingapore : World Scientific Publishing Company, ©2008|z9789812790620 830 0 World Scientific series on nonlinear science.|nSeries A, |pMonographs and treatises ;|0https://id.loc.gov/ authorities/names/no94008495|vv. 61. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=518669|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160607|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID