This handbook is the fourth volume in a series of volumes devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. * Covers a variety of problems in ordinary differential equations * Pure mathematical and real world applications * Written for mathematicians and scientists of many related fields.

Includes bibliographical references and indexes.

Symmetric Hopf bifurcation: Twisted degree approach -- Nonautonomous differential systems in two dimensions -- Complex differential equations -- Transversal periodic-to-periodic homoclinic orbits -- Successive approximation techniques in non-linear boundary value problems for ordinary differential equations -- Analytic ordinary differential equations and their local classification.

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