Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point

1958 ◽  
pp. 183-207 ◽  
Author(s):  
A. F. Andreev
Keyword(s):  
Singular Point ◽  
Differential Equations ◽  
Integral Curves

On Integrals developable about a Singular Point of a Hamiltonian System of Differential Equations

1924 ◽  
Vol 22 (3) ◽  
pp. 325-349 ◽  
Author(s):  
T. M. Cherry
Keyword(s):  
Singular Point ◽  
Hamiltonian System ◽  
Characteristic Function ◽  
Differential Equations ◽  
Convergent Series ◽  
Hamiltonian Form ◽  
System Of Differential Equations ◽  
Image Position

Letbe a system of differential equations of Hamiltonian form, the characteristic function H being independent of t and expansible in a convergent series of powers of x1, … xn, y1, … yn in which the terms of lowest degree are

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