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1
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0003539783
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Wiley, New York
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P. Glandsdorff and I. Prigogine, Thermodynamics of Structure, Stability, and Fluctuations (Wiley, New York, 1971);
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(1971)
Thermodynamics of Structure, Stability, and Fluctuations
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Glandsdorff, P.1
Prigogine, I.2
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4
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0003478288
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Springer, New York
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J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations and Vector Fields, 2nd ed. (Springer, New York, 1986);
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(1986)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations and Vector Fields, 2nd ed.
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Guckenheimer, J.1
Holmes, P.2
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20
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0003120899
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S. Sasa, Physica D 108, 45 (1997).
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(1997)
Physica D
, vol.108
, pp. 45
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Sasa, S.1
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21
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85035236204
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The RG method works for systems which have a neutrally stable solution was the unperturbed solution 10. Actually, the method is also applicable to equations which have unperturbed solutions lying on a stable and/or an unstable invariant manifold 1. An example of such equations is [formula presented]
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The RG method works for systems which have a neutrally stable solution was the unperturbed solution 10. Actually, the method is also applicable to equations which have unperturbed solutions lying on a stable and/or an unstable invariant manifold 1. An example of such equations is xn+2-2 cosh θ xn+1+xn=εf(xn,xn+1).
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23
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85035228910
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The envelope of a family of discrete curves may be defined as the curve which shares neighboring two points with each member of the family of curves.
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The envelope of a family of discrete curves may be defined as the curve which shares neighboring two points with each member of the family of curves.
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24
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85035219365
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One can show that [formula presented], and we have neglected the terms of [formula presented] in deriving Eq. (5).
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One can show that ΔA(n)=O(ε), and we have neglected the terms of O(ε2) in deriving Eq. (5).
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28
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85035240390
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We remark that the exact solution of Eq. (9) well reproduces the solution of the original differential equation even with [formula presented] as large as 0.25.
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We remark that the exact solution of Eq. (9) well reproduces the solution of the original differential equation even with Δt as large as 0.25.
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