Displaying similar documents to “On the distribution of the free path length of the linear flow in a honeycomb”

A note on linear perturbations of oscillatory second order differential equations

Renato Manfrin (2010)

Archivum Mathematicum

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Under suitable hypotheses on γ ( t ) , λ ( t ) , q ( t ) we prove some stability results which relate the asymptotic behavior of the solutions of u ' ' + γ ( t ) u ' + ( q ( t ) + λ ( t ) ) u = 0 to the asymptotic behavior of the solutions of u ' ' + q ( t ) u = 0 .

Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks

Masafumi Yoshino, Todor Gramchev (2008)

Annales de l’institut Fourier

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We study the simultaneous linearizability of d –actions (and the corresponding d -dimensional Lie algebras) defined by commuting singular vector fields in n fixing the origin with nontrivial Jordan blocks in the linear parts. We prove the analytic convergence of the formal linearizing transformations under a certain invariant geometric condition for the spectrum of d vector fields generating a Lie algebra. If the condition fails and if we consider the situation where small denominators...