Evolution of Time Periodic Perturbations on Films Falling Down Walls

1995 ◽  
pp. 225-233
Author(s):  
L. A. Dávalos-Orozco ◽  
S. H. Davis ◽  
S. G. Bankoff
Keyword(s):  
Periodic Perturbations ◽  
Time Periodic

scholarly journals On Periodic Perturbations of Asymmetric Duffing–Van-der-Pol Equation

2014 ◽  
Vol 24 (05) ◽  
pp. 1450061 ◽  
Author(s):  
Albert D. Morozov ◽  
Olga S. Kostromina
Keyword(s):  
Saddle Point ◽  
Limit Cycles ◽  
Small Neighborhood ◽  
Integrable Equation ◽  
Van Der Pol Equation ◽  
Van Der Pol ◽  
Periodic Perturbations ◽  
Autonomous Equation ◽  
Nonautonomous Equation ◽  
Time Periodic

Time-periodic perturbations of an asymmetric Duffing–Van-der-Pol equation close to an integrable equation with a homoclinic "figure-eight" of a saddle are considered. The behavior of solutions outside the neighborhood of "figure-eight" is studied analytically. The problem of limit cycles for an autonomous equation is solved and resonance zones for a nonautonomous equation are analyzed. The behavior of the separatrices of a fixed saddle point of the Poincaré map in the small neighborhood of the unperturbed "figure-eight" is ascertained. The results obtained are illustrated by numerical computations.

Resonances for non-trapping time-periodic perturbations

2004 ◽  
Vol 37 (40) ◽  
pp. 9439-9449 ◽  
Author(s):  
Jean-François Bony ◽  
Vesselin Petkov
Keyword(s):  
Trapping Time ◽  
Periodic Perturbations ◽  
Time Periodic

scholarly journals Time Periodic Perturbations of Quantum Systems

1979 ◽  
Vol 34 (12) ◽  
pp. 1404-1409 ◽  
Author(s):  
A. Kelemen
Keyword(s):  
Spectral Line ◽  
Quantum System ◽  
Energy Levels ◽  
Quantum Systems ◽  
Spectral Lines ◽  
Arbitrary Distribution ◽  
Periodic Perturbations ◽  
The Mean ◽  
Time Periodic

Abstract We discuss a method of calculating the mean energy of a quantum system if the latter is subjected to time periodic perturbations. This, e.g., includes the possibility of determining shapes of spectral lines for an arbitrary distribution of nonperturbed energy levels. The method is studied on a system of order 2 whose spectral line is exactly lorentzian. We prove that the next to lowest approximation reproduces this form exactly.

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