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Topological background of the method
Blocks for ordinary differential equations
4 other sections not shown
Ap(t apply assertion Assume moreover assumption block for 1.1 Cauchy problem Chapter Consider the equation construction contained continuous function defined denote elliptic polynomial equation 1.1 Euler characteristic Example existence exit set fixed point index Floquet theory flow geometric method grad guiding functions homeomorphic homogeneous homogeneous polynomials hyperbolic or elliptic hyperbolic polynomial imply inequalities integer introduce isolated invariant set isolating block Lefschetz number Lemma Li(x linear llxll Lyapunov functions Math matrix-valued function monodromy Morse index notation ordinary differential equations pair of ENRs periodic coefficients periodic problem periodic solutions phase space planar Poincare polynomial equations positive number Proposition 7.1.1 Q is hyperbolic rational equations real number Remark respect result follows right-hand side RxRn satisfied Section 3.3 solution of 1.1 strong T-periodic block subset T-periodic function T-periodic proper pair topological topological space trajectories uJ uJ+1 vector-field