Splitting of separatrices for a pendulum with rapidly oscillating suspension point
From MaRDI portal
Publication:1267458
zbMath0947.34034MaRDI QIDQ1267458
Publication date: 25 October 2000
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. I, Exponentially small heteroclinic breakdown in the generic Hopf-zero singularity, Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation, Exponentially small splitting for the pendulum: A classical problem revisited, Separatrix splitting at a Hamiltonian \(0^2i\omega\) bifurcation, Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies, Resurgence in a Hamilton-Jacobi equation., Width of stochastic layers in near-integrable two-dimensional symplectic maps., The approximate decomposition of exponential order of slow-fast motions in multifrequency systems., Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results, Exponentially small splitting of separatrices in a weakly hyperbolic case, Continuous averaging proof of the Nekhoroshev theorem, Oscillatory motions for the restricted planar circular three body problem, Symbolic dynamics in the restricted elliptic isosceles three body problem, Breakdown of heteroclinic connections in the analytic Hopf-zero singularity: rigorous computation of the Stokes constant