scholarly journals Lin's method

Scholarpedia ◽  
2008 ◽  
Vol 3 (9) ◽  
pp. 6972 ◽  
Author(s):  
Xiao-Biao Lin
Keyword(s):  
Lin's Method ◽  
Lin’S Method

scholarly journals James quasi reflexive space has the fixed point property

1989 ◽  
Vol 39 (1) ◽  
pp. 25-30 ◽  
Author(s):  
M.A. Khamsi
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Unconditional Basis ◽  
Fixed Point Property ◽  
Point Property ◽  
Reflexive Space ◽  
Lin's Method ◽  
Lin’S Method

We prove that the classical sequence James space has the fixed point property. This gives an example of Banach space with a non-unconditional basis where the Maurey-Lin's method applies.

scholarly journals Lin's method for heteroclinic chains involving periodic orbits

Nonlinearity ◽  
2009 ◽  
Vol 23 (1) ◽  
pp. 23-54 ◽  
Author(s):  
Jürgen Knobloch ◽  
Thorsten Rieß
Keyword(s):  
Periodic Orbits ◽  
Lin's Method ◽  
Lin’S Method

Approximation to transients by means of Laguerre series

1956 ◽  
Vol 52 (4) ◽  
pp. 640-651 ◽  
Author(s):  
J. W. Head
Keyword(s):  
Characteristic Function ◽  
Special Reference ◽  
Laguerre Functions ◽  
Numerical Examples ◽  
Laguerre Series ◽  
Relevant Characteristic ◽  
Lin's Method ◽  
Quadratic Factor ◽  
Lin’S Method

ABSTRACTWard(1) has discussed a method, introduced by Tricomi (6), of calculating transients by means of series involving Laguerre functions which in some cases makes it unnecessary to determine poles of the relevant characteristic function. This method is here investigated with special reference to conditions for convergence and adjustments for improving convergence; some of the examples discussed by Ward are reconsidered.Both in Ward's paper and here the location of poles of the characteristic function is assumed to be approximately known. In some cases the determination of poles of outstandingly small or large modulus and their separation from the remainder may be the most satisfactory procedure. Lin's method (2) for determining a quadratic factor of a polynomial is more widely applicable than has previously been supposed, and this is discussed in bare outline, without proof, here, but in detail, with adequate numerical examples, elsewhere (3).

Performing Lin's method via Routh-type algorithms or Hurwitz-type determinants

1980 ◽  
Vol 68 (11) ◽  
pp. 1447-1449 ◽  
Author(s):  
C.F. Chen ◽  
M.M. Chen
Keyword(s):  
Lin's Method ◽  
Lin’S Method

scholarly journals Using Lin's method to solve Bykov's problems

2014 ◽  
Vol 257 (8) ◽  
pp. 2984-3047 ◽  
Author(s):  
Jürgen Knobloch ◽  
Jeroen S.W. Lamb ◽  
Kevin N. Webster
Keyword(s):  
Lin's Method ◽  
Lin’S Method

Bifurcation of Homoclinic Orbits to a Saddle-Center in Reversible Systems

2003 ◽  
Vol 13 (09) ◽  
pp. 2603-2622 ◽  
Author(s):  
J. Klaus ◽  
J. Knobloch
Keyword(s):  
Fixed Point ◽  
Homoclinic Orbit ◽  
Vector Fields ◽  
Critical Parameter ◽  
Center Manifold ◽  
Homoclinic Orbits ◽  
Reversible Systems ◽  
Lin's Method ◽  
Two Parameter ◽  
Lin’S Method

We consider two-parameter families of reversible vector fields having (at the critical parameter value) a homoclinic orbit to a nonhyperbolic fixed point. The nonhyperbolicity is due to a pair of purely imaginary eigenvalues. We give a complete description of the bifurcating one-homoclinic orbits to the center manifold. For that purpose we adapt Lin's method.

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