Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control

DOI10.1155/2013/848613zbMath1470.34107OpenAlexW2066531321WikidataQ58917601 ScholiaQ58917601MaRDI QIDQ2319187

Yanyan Li

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/848613

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations of ordinary differential equations (34D15)

Related Items (1)

A priori error analysis of linear and nonlinear periodic Schrödinger equations with analytic potentials

Cites Work

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• Nonlinear dynamics of a periodically driven Duffing resonator coupled to a van der Pol oscillator
• Frequency control of singularly perturbed forced Duffing's oscillator
• A qualitative study of the damped Duffing equation and applications
• Optimal control of nonregular dynamics in a Duffing oscillator
• Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps

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