Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall
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Publication:1566251
DOI10.1016/S0167-2789(03)00052-6zbMath1027.78010MaRDI QIDQ1566251
Nikola P. Petrov, John A. Vano, Rafael de la Llave
Publication date: 1 June 2003
Published in: Physica D (Search for Journal in Brave)
asymptotic electromagnetic-field behaviorirrational straight-line foliation preservationmap iterates
Lasers, masers, optical bistability, nonlinear optics (78A60) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps ⋮ Resonant equilibrium configurations in quasi-periodic media: perturbative expansions ⋮ Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. ⋮ Simultaneous conjugation of commuting foliation preserving torus maps ⋮ Boundary stabilization of a vibrating string with variable length ⋮ Photon generation from vacuum in nondegenerate cavities with regular and random periodic displacements of boundaries
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