Invariant Curves of Mappings with Averaged Small Twist

DOI10.1515/ans-2001-0102zbMath1136.37336OpenAlexW2514445811MaRDI QIDQ2757087

Rafael Ortega

Publication date: 21 November 2001

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2001-0102

Mathematics Subject Classification ID

Related Items (24)

Positively homogeneous Hamiltonian systems in the plane ⋮ Unbounded solutions and periodic solutions for second order differential equations with asymmetric nonlinearity ⋮ Invariant curves of reversible mappings with small twist ⋮ The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems ⋮ A KAM theorem for quasi-periodic non-twist mappings and its application ⋮ Invariant tori for asymptotically linear impact oscillators ⋮ Invariant curves of almost periodic twist mappings ⋮ Almost periodic solutions for an asymmetric oscillation ⋮ Invariant curves of quasi-periodic reversible mappings and its application ⋮ The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case ⋮ Invariant tori and boundedness in asymmetric oscillations. ⋮ Invariant tori for semilinear reversible systems. ⋮ Boundedness for the general semilinear Duffing equations via the twist theorem ⋮ Boundedness in asymmetric oscillations under the non-resonant case ⋮ Relativistic pendulum and invariant curves ⋮ Boundedness in forced isochronous oscillators ⋮ Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term ⋮ Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators ⋮ Boundedness of solutions for Duffing's equations with semilinear potentials ⋮ Invariant curves and boundedness of solutions of a class of reversible systems ⋮ Boundedness and unboundedness of solutions for reversible oscillators at resonance ⋮ A mechanical counterexample to KAM theory with low regularity ⋮ LOCALIZING TRANSPORT BARRIERS IN DEGENERATE 3/2 D.O.F. HAMILTONIAN SYSTEMS WITH APPLICATIONS TO MAGNETIC CONFINEMENT FUSION ⋮ Boundedness of solutions for second order differential equations with asymmetric nonlinearity

This page was built for publication: Invariant Curves of Mappings with Averaged Small Twist