scholarly journals Applications of representation transformation and secular perturbation theory to coupled Duffing equations

2021 ◽  
Vol 70 (2) ◽  
pp. 024601-024601
Author(s):  
Li Chao-Gang ◽  
◽  
Wang Mao-Sheng ◽  
Fang Quan ◽  
Peng Xue-Cheng ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Duffing Equations ◽  
Secular Perturbation ◽  
Representation Transformation

scholarly journals Stability Mechanism of Planetary System of ν Andromedae

2004 ◽  
Vol 202 ◽  
pp. 202-204 ◽  
Author(s):  
Hiroshi Kinoshita ◽  
Hiroshi Nakai
Keyword(s):  
Perturbation Theory ◽  
Planetary System ◽  
Secular Resonance ◽  
Secular Perturbation ◽  
Outer Planets ◽  
The Stability

Three planets are detected around ν Andromedae. The stability of Upsilon Andromedae Planetary system is maintained by the co rotation of the pericenters of the two outer planets. If the pericenters of the two outer planets move independently, the planetary system becomes unstable. The corotation of the pericenters is explained by the secular perturbation theory. This corotation is not a secular resonance.

scholarly journals On the divergence difficulty of quantized field theories and the rigorous treatment of radiation reaction

1946 ◽  
Vol 186 (1004) ◽  
pp. 119-147 ◽  
Keyword(s):  
Perturbation Theory ◽  
Expansion Method ◽  
Radiation Reaction ◽  
Field Theories ◽  
Unperturbed System ◽  
Secular Perturbation ◽  
Rigorous Treatment ◽  
Quantized Field

By an orthodox application of the perturbation theory to the general case of a quantized field, it is shown th at the divergence difficulty hitherto encountered arises from a faulty application of the expansion method. The difficulty, in certain cases, disappears if the degeneracy of the unperturbed system is properly treated by the method of secular perturbation. Physically, this amounts to a rigorous treatm ent of the radiation reaction, in such cases where its effect is strong.

scholarly journals On the Ages of Asteroid Families

1983 ◽  
Vol 74 ◽  
pp. 203-210
Author(s):  
Manabu Yuasa
Keyword(s):  
Perturbation Theory ◽  
Second Order ◽  
Secular Perturbation ◽  
Asteroid Families

The ages of asteroid families are estimated by using a second order secular perturbation theory. Their ages are rather young. To explain these results we have some possible interpretations. The first interpretation is that in the theory of secular perturbation we do not include the effects of mutual perturbations of asteroids. The second is that we can regard these values as the minimum ages.

scholarly journals The spring oscillator model degenerated into the coupled-mode theory by using secular perturbation theory

2020 ◽  
Vol 69 (7) ◽  
pp. 074501
Author(s):  
Cun-Yuan Zhu ◽  
Chao-Gang Li ◽  
Quan Fang ◽  
Mao-Sheng Wang ◽  
Xue-Cheng Peng ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Oscillator Model ◽  
Coupled Mode Theory ◽  
Secular Perturbation ◽  
Mode Theory ◽  
Coupled Mode
Sign in / Sign up

Export Citation Format

Share Document