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02827aam a2200313Ii 4500 001 A0134A80CFA311E9B77D544F97128E48 003 SILO 005 20190905010153 008 181030t20192019njua b 001 0 eng d 020 $a 9780691161525 020 $a 0691161526 035 $a (OCoLC)1059253095 040 $a YDX $b eng $e rda $c YDX $d BDX $d OCLCQ $d VGM $d IWA $d SILO 050 4 $a QA614.86 F448x 2019 100 1 $a Feldman, David P. $e author. 245 10 $a Chaos and dynamical systems / $c David P. Feldman. 264 1 $a Princeton : $b Princeton University Press, $c [2019] 300 $a xiv, 245 pages : $b illustrations ; $c 22 cm. 490 1 $a Primers in complex systems 504 $a Includes bibliographical references and index. 505 00 $t Index. $t 1. Introducing Iterated Functions -- $t 2. Introducing Differential Equations -- $t 3. Interlude: Mathematical Models and the Newtonian Worldview -- $t 4. Chaos I:The Butterfly Effect -- $t 5. Chaos II: Deterministic Randomness -- $t 6. Bifurcations: Sudden Transitions -- $t 7. Universality in Chaos -- $t 8. Higher-Dimensional Systems and Phase Space -- $t 9. Strange Attractors -- $t 10. Conclusion -- $t Bibliography -- $t Index. 520 $a Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, an important and exciting area that has shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview.In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder.Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences. 650 0 $a Fractals. 650 0 $a Chaotic behavior in systems. 830 0 $a Primers in complex systems 941 $a 1 952 $l USUX851 $d 20191204013057.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=A0134A80CFA311E9B77D544F97128E48 994 $a 92 $b IWAInitiate Another SILO Locator Search