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A note on the fundamental matrix of variational equations in \(\mathbb R^3\). (English) Zbl 1052.37014
Summary: The paper is devoted to the question whether some kind of additional information makes it possible to determine the fundamental matrix of variational equations in \(\mathbb R^3\). An application concerning the computation of a derivative of a scalar Poincaré mapping is given.
MSC:
37C10 Dynamics induced by flows and semiflows
34C30 Manifolds of solutions of ODE (MSC2000)
34D10 Perturbations of ordinary differential equations
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