New perturbation method for the integrals of motion of time-dependent systems

1969 ◽  
Vol 19 (12) ◽  
pp. 1611-1613
Author(s):  
J. Lacina
Keyword(s):  
Perturbation Method ◽  
Time Dependent ◽  
Integrals Of Motion ◽  
New Perturbation

A perturbation method and the limit-point case of even order symmetric differential expressions

1983 ◽  
Vol 94 (1-2) ◽  
pp. 121-135 ◽  
Author(s):  
Bernhard Mergler ◽  
Bernd Schultze
Keyword(s):  
Perturbation Method ◽  
Fourth Order ◽  
Limit Point ◽  
Perturbation Theorem ◽  
Order Case ◽  
Even Order ◽  
Limit Point Case ◽  
New Perturbation ◽  
Bounded Perturbations

SynopsisWe give a new perturbation theorem for symmetric differential expressions (relatively bounded perturbations, with relative bound 1) and prove with this theorem a new limit-point criterion generalizing earlier results of Schultze. We also obtain some new results in the fourth-order case.

A new perturbation method for determining the broadband complex permeability of magnetic thin films

2008 ◽  
Vol 320 (5) ◽  
pp. 750-753 ◽  
Author(s):  
Jianjun Jiang ◽  
Gang Du ◽  
Yun Yao ◽  
Cheng Liu ◽  
Lin Yuan ◽  
...  
Keyword(s):  
Thin Films ◽  
Perturbation Method ◽  
Magnetic Thin Films ◽  
Complex Permeability ◽  
New Perturbation

A perturbation method for the Vlasov–Poisson system

1998 ◽  
Vol 60 (1) ◽  
pp. 181-192 ◽  
Author(s):  
JONAS LUNDBERG ◽  
TOR FLÅ
Keyword(s):  
Perturbation Method ◽  
Particle Distribution ◽  
Distribution Functions ◽  
Poisson System ◽  
Nonlinear Wave Propagation ◽  
Starting Point ◽  
Self Consistent ◽  
Good Starting Point ◽  
New Perturbation ◽  
Lie Transformations

A perturbation method for the Vlasov–Poisson system is presented. It is self-consistent and entirely based on Lie transformations, which are considered as active transformations, generating the dynamics of the particle distribution function in the space of distribution functions. The main result is a set of three equations that forms a good starting point for a wide variety of problems concerning nonlinear wave propagation. Besides being efficient, the new perturbation method is systematic and therefore also suited for the use of computer algebra.

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