{"product_id":"modeling-complex-systems-nino-boccara-9781461426813","title":"Modeling Complex Systems","description":"The essential points of this ?rst chapter are - The de?nition of a complex system - The notion of emergence - The de?nition of a model - The notion of dynamical system This book is about the dynamics of complex systems. Roughly speaking, a system is a collection of interacting elements making up a whole such as, for instance, a mechanical clock. While many systems may be quite complicated, they are not necessarily considered to be complex. Today, most authors agree on the essential properties a system has to possess to be called complex. The ?rst section is devoted to the description of these properties. To interpret the time evolution of a system, scientists build up models, which are simpli?ed mathematical representations of the system. The exact purpose of a model and what its essential features should be is explained in the second section. The mathematical models that will be discussed in this book are dynami- 1 calsystems. A dynamical system is essentially a set of equations whose- lutiondescribesthe evolution, asafunction oftime, ofthe state ofthe system. There exist di?erent types of dynamical systems. Some of them are de?ned in the third section. 1 There is an extensive literature on mathematical modeling. The reader may, for example, consult [11,88,163,233].\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nino Boccara\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1461426812\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781461426813\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/05\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 490\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.02d","brand":"Nino Boccara","offers":[{"title":"Paperback","offer_id":47424388432127,"sku":"9781461426813","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_e5754b67-1238-481f-8226-4f0a57dfc355.jpg?v=1761529924","url":"https:\/\/www.whiterainbookhouse.com\/products\/modeling-complex-systems-nino-boccara-9781461426813","provider":"WR Book House","version":"1.0","type":"link"}