JOURNAL ARTICLE

Determination of Limit Cycles for Strongly Nonlinear Oscillators

Ji‐Huan He

Year: 2003 Journal:   Physical Review Letters Vol: 90 (17)Pages: 174301-174301   Publisher: American Physical Society

Abstract

An innovative approach to finding limit cycles is proposed and illustrated on the van der Pol equation. The technique developed in this Letter is similar to the Ritz's method in variational theory. The present theory can be applied to not only weakly nonlinear equations, but also strongly nonlinear ones, and the obtained results are valid for the whole solution domain.

Keywords:
Limit (mathematics) Nonlinear system Van der Pol oscillator Domain (mathematical analysis) Physics Limit cycle Mathematical analysis Applied mathematics Statistical physics Mathematics Quantum mechanics

Metrics

122
Cited By
8.39
FWCI (Field Weighted Citation Impact)
12
Refs
0.98
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Fractional Differential Equations Solutions
Physical Sciences →  Mathematics →  Modeling and Simulation
Numerical methods for differential equations
Physical Sciences →  Mathematics →  Numerical Analysis
Composite Structure Analysis and Optimization
Physical Sciences →  Engineering →  Mechanics of Materials

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