Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena

This publication has 16 references indexed in Scilit:

• Ergodic skew-systems on \mathbb{T}^d \times SO(3,\mathbb{R}}
  Ergodic Theory and Dynamical Systems, 2002
• Quasi-Periodic Stability of Subfamilies of an Unfolded Skew Hopf Bifurcation
  Archive for Rational Mechanics and Analysis, 2000
• A reversible bifurcation analysis of the inverted pendulum
  Physica D: Nonlinear Phenomena, 1998
• Geometrical aspects of stability theory for Hill's equations
  Archive for Rational Mechanics and Analysis, 1995
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
  Communications in Mathematical Physics, 1992
• Bifurcational Aspects of Parametric Resonance
  Published by Springer Nature ,1992
• Cantor spectrum for the quasi-periodic Schrödinger equation
  Journal of Differential Equations, 1991
• Unfoldings and bifurcations of quasi-periodic tori
  Memoirs of the American Mathematical Society, 1990
• On a quasi-periodic Hopf bifurcation
  Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1987
• Formal integrals for an autonomous Hamiltonian system near an equilibrium point
  Celestial Mechanics and Dynamical Astronomy, 1978