Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring

DOI10.1016/j.physleta.2008.12.042zbMath1227.78007OpenAlexW2009596901MaRDI QIDQ649724

Juan-Miguel Gracia

Publication date: 5 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/9125

zbMATH Keywords

harmonic balance methodnonlinear oscillatorapproximate frequency

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Motion of charged particles (78A35) Electro- and magnetostatics (78A30) Nonlinear modes (70K75)

Related Items (7)

Nonlinear oscillations of a point charge in the electric field of charged ring using a particular He's frequency-amplitude formulation ⋮ Considerations on ``Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring ⋮ Notes on ``Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms ⋮ Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method ⋮ THE POINT CHARGE OSCILLATOR: QUALITATIVE AND ANALYTICAL INVESTIGATIONS ⋮ Asymptotic analysis and accurate approximate solutions for strongly nonlinear conservative symmetric oscillators ⋮ Parametrically excited oscillations of second-order functional differential equations and application to Duffing equations with time delay feedback

Cites Work

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• Harmonic balance approach to limit cycles for nonlinear jerk equations
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• Letter to the Editor

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