Physical Review Letters · 1993 · 49 citations · 2 references
Natural SciencesMathematicsPhysicsComputational PhysicsDifferential EquationsDynamical SystemsApproximation MethodsLimit CyclesNonlinear DynamicsOscillatorsPerturbation MethodsPerturbation TheoryAccuracyDifferential Equation SolversLimit Cycle DynamicsLimit Cycle Oscillation ModelingLimit Cycle OscillationsOscillator AnalysisStability Of Limit CyclesVan Der Pol Oscillator
A nonperturbative method for solving differential equations and for finding limit cycles is proposed and is illustrated on the anharmonic oscillator and on the Van der Pol equation. It is shown to give the amplitude, period, and equation of the limit cycle with a better accuracy than any perturbative results so far obtained.
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