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The dynamics of actual, chemical, organic, or fluid platforms in most cases needs to be defined via nonlinear types, whose special mathematical strategies are usually not accessible. to appreciate a few features of such dynamics, numerous complementary equipment and viewpoints are of the most important significance. during this publication the views generated via analytical, topological and computational equipment, and interplays among them, are built in quite a few contexts. This e-book is a entire advent to this box, fitted to a extensive readership, and reflecting quite a lot of functions. many of the recommendations thought of are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis arithmetic; Ulam's synergetics; Turing's instability and dissipative buildings; chaos; dynamic entropies; Lorenz and Rossler types; predator-prey and replicator types; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and trend dynamics; mobile automata.

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