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Volumn 57, Issue 4, 1998, Pages 4817-4820

Dynamical reduction of discrete systems based on the renormalization-group method

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Indexed keywords


EID: 0007187309     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4817     Document Type: Article
Times cited : (27)

References (34)
  • 20
  • 21
    • 85035236204 scopus 로고    scopus 로고
    • 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]
    • 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).
  • 23
    • 85035228910 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 24
    • 85035219365 scopus 로고    scopus 로고
    • One can show that [formula presented], and we have neglected the terms of [formula presented] in deriving Eq. (5).
    • One can show that ΔA(n)=O(ε), and we have neglected the terms of O(ε2) in deriving Eq. (5).
  • 28
    • 85035240390 scopus 로고    scopus 로고
    • 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.
    • 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.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.