scholarly journals Averaging principle for fast-slow system driven by mixed fractional Brownian rough path

2021 ◽  
Vol 301 ◽  
pp. 202-235
Author(s):  
Bin Pei ◽  
Yuzuru Inahama ◽  
Yong Xu
1979 ◽  
Vol 81 ◽  
pp. 69-72 ◽  
Author(s):  
Manabu Yuasa ◽  
Gen'ichiro Hori

A new approach to the planetary theory is examined under the following procedure: 1) we use a canonical perturbation method based on the averaging principle; 2) we adopt Charlier's canonical relative coordinates fixed to the Sun, and the equations of motion of planets can be written in the canonical form; 3) we adopt some devices concerning the development of the disturbing function. Our development can be applied formally in the case of nearly intersecting orbits as the Neptune-Pluto system. Procedure 1) has been adopted by Message (1976).


Author(s):  
Amir Dembo ◽  
Pablo Groisman ◽  
Ruojun Huang ◽  
Vladas Sidoravicius

1995 ◽  
Vol 5 (3) ◽  
pp. 681-719 ◽  
Author(s):  
E. G. Coffman ◽  
A. A. Puhalskii ◽  
M. I. Reiman

2012 ◽  
Vol 209-211 ◽  
pp. 535-539
Author(s):  
Fei Lv ◽  
Rui Fang Su ◽  
Rui Tian

This paper used “3S+3L+AVC” tourist town development concepts framework, it imported the beautiful natural waterfront landscape features, unique ecological agriculture condition, natural geothermal hot spring resources and convenient transportation advantage into the small tourism town design. By the analysis of town features, project position, the key design points, it described the theory application in Chun Lei town concept planning from slow system, ecological planning and commercial walk street design three aspects.


1960 ◽  
Vol 37 (1) ◽  
pp. 46-56
Author(s):  
DONALD MELVIN WILSON

1. Nerve muscle preparations of the segmental nerves and associated muscles have been made using a nereid polychaete, Neanthes brandti (Malmgren). 2. Two kinds of response, differing in threshold and latency, were found. The ‘fast’ response is large at the first shock and (at frequencies above 1/sec.) decreases thereafter. The ‘slow’ response is small but facilitates with repetition at frequencies above 10/sec. Facilitation reaches a maximum after 3 or 4 shocks. 3. Isolated parapodia show several distinct reflex movements to mechanical and chemical stimuli. These must involve motor neurons in the parapodial ganglion. 4. Stimulation of the segmental nerves of the leech, Hirudo, evokes facilitating muscle potentials resembling in most details those of the ‘slow‘ system in Neanthes. 5. The ‘fast’ and ‘slow’ responses are discussed in comparison with other invertebrate systems, especially those of arthropods. The ‘slow’ responses in annelids show less facilitation. The ‘fast’ responses of polychaetes fatigue quickly and are probably useful only in ‘startle’ responses.


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