Autoresonance in a model of a terahertz wave generator

DOI10.1134/S0081543818050073zbMath1433.78011OpenAlexW2885512785MaRDI QIDQ1800518

Yanyan Li

Publication date: 24 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818050073

zbMATH Keywords

asymptotic expansionsJosephson junctionkink solutionautoresonancesine-Gordon systemmain resonance equationterahertz band of electromagnetic waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of superconductors (82D55) Asymptotic expansions of solutions to PDEs (35C20) Technical applications of optics and electromagnetic theory (78A55) Soliton equations (35Q51) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35)

Cites Work

• Application of the method of two-scale expansions to the single-frequency problem of the theory of nonlinear oscillations
• Finite-zone, almost-periodic solutions in WKB approximations
• An explicit description of the global attractor of the damped and driven sine-Gordon equation
• Oscillations near a separatrix in the Duffing equation
• Asymptotic solutions of nonlinear second order differential equations with variable coefficients
• The WKB-method for a non-linear equation of the second order
• The Modulated Phase Shift for Strongly Nonlinear, Slowly Varying, and Weakly Damped Oscillators
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