This ebook stories nonlocal bifurcations that take place at the boundary of the area of Morse-Smale platforms within the house of all dynamical structures. those bifurcations supply a chain of interesting new eventualities for the transition from uncomplicated dynamical platforms to advanced ones. the most results are the iteration of hyperbolic periodic orbits, nontrivial hyperbolic invariant units and the weather of hyperbolic idea. All effects are carefully proved and defined in a uniform method. the rules of ordinary varieties and hyperbolic theories are provided from the first actual phases. The proofs are preceded by way of heuristic descriptions of the tips. The booklet includes new effects, and plenty of effects haven't formerly seemed in monograph shape.
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