{"product_id":"9781338148626","title":"Alola Region Handbook (Pokémon)","description":"\u003cp\u003ePurchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Chaos Theory, Butterfly Effect, Ginnungagap, Bifurcation Diagram, Emergence, Turbulence, Quantum Chaos, Self-Organized Criticality, Coupled Map Lattice, for Want of a Nail, Stability of the Solar System, Recurrence Quantification Analysis, Fractal Dimension, Recurrence Plot, Synchronization of Chaos, Chaotic Hysteresis, Bus Bunching, Chaotic Bubble, Oscillon, Transfer Operator, Correlation Dimension, Nonlinear Dynamics, Chaos Game, Poincaré Plot, Chirikov Criterion, Edge of Chaos, Chaos Communications, Interconnectivity, Feigenbaum Function, Control of Chaos, Quantum Ergodicity, Complexor, Correlation Integral, Correlation Sum, Lagrangian Coherent Structure, Mixmaster Dynamics. Excerpt: Chaos theory is a field of study in mathematics, physics, economics and philosophy studying the behavior of dynamical systems that are highly sensitive to initial conditions. This sensitivity is popularly referred to as the butterfly effect. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for chaotic systems, rendering long-term prediction impossible in general. This happens even though these systems are deterministic, meaning that their future behaviour is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos. Chaotic behavior can be observed in many natural systems, such as the weather. Explanation of such behavior may be sought through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincaré maps. Chaos theory is applied in many scientific d... More: http:\/\/booksllc.net\/?id=6295\u003c\/p\u003e","brand":"Scholastic, Inc.","offers":[{"title":"Default Title","offer_id":47060076495088,"sku":"9781338148626","price":9.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781338148626_p0.jpg?v=1763709029","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781338148626","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}