1,721,222 research outputs found

    Homoclinics and complex dynamics in slowly oscillating systems

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    We prove the existence of multibump homoclinic orbits to an hyperbolic equilibrium of a Lagrangian systems with a slowly oscillating forcing term. The approach is based on a variational Lyapunov-Schmidt reduction

    Diffusion quantum monte carlo study of argon dimer

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    We reproduce the binding energy curve of a prototypical van derWaals system, namely the Ar dimer, by a fixed node-diffusion quantum Monte Carlo approach. The results, in good agreement with the experimental values and the best reference potential-energy curve, are compared with those obtained by density functional theory (DFT) using different local, semilocal, and van der Waals-corrected functionals. A differential-density analysis is also reported, which describes how the electron density redistributes as a consequence of the interaction between the Ar atoms and highlights significant differences among the different approaches and possible shortcomings of DFT methods in accurately describing the electron density distribution

    Applications of Critical Point Theory to Homoclinics and Complex Dynamics

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    In this note we outline some recent results on the existence of homoclinics and complex dynamics of some perturbed differential equations. These results are based upon a perturbation method in critical point theor

    Applications of Critical Point Theory to Homoclinics and Complex Dynamics

    No full text
    In this note we outline some recent results on the existence of homoclinics and complex dynamics of some perturbed differential equations. These results are based upon a perturbation method in critical point theor

    Periodic solutions with prescribed energy for a class of Keplerian N-body problem

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    The paper deals with the existence of periodic solutions of fixed energy for a class of N-body type problems with Keplerian like interaction
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