scientific article; zbMATH DE number 3295010

zbMath0185.17101MaRDI QIDQ5577411

V. K. Mel'nikov

Publication date: 1968

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

ordinary differential equations

Related Items (26)

Persistence of lower dimensional tori of general types in Hamiltonian systems ⋮ Gevrey-smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems ⋮ Degenerate response tori in Hamiltonian systems with higher zero-average perturbation ⋮ General KAM theorems and their applications to invariant tori with prescribed frequencies ⋮ Normal linear stability of quasi-periodic tori ⋮ On elliptic lower dimensional tori in Hamiltonian systems ⋮ Unnamed Item ⋮ On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann's non-degeneracy condition ⋮ Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition ⋮ Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations ⋮ The persistence of degenerate lower-dimensional tori in reversible systems with a degenerate normal equilibrium point ⋮ Unnamed Item ⋮ A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori ⋮ On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori ⋮ Melnikov's conditions in matrices ⋮ Non-degeneracy conditions in KAM theory ⋮ Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems ⋮ Lower dimension tori of general types in multi-scale Hamiltonian systems ⋮ Degenerate lower-dimensional tori in Hamiltonian systems ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig) ⋮ LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE -DIMENSIONAL TORUS ⋮ The quasi-periodic centre-saddle bifurcation ⋮ Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter ⋮ Persistence of lower dimensional invariant tori for nearly integrable Hamiltonian systems ⋮ Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition

This page was built for publication: