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Volumn 70, Issue 3, 2005, Pages 359-385

On the sensitivity of strongly nonlinear autonomous oscillators and oscillatory waves to small perturbations

Author keywords

Nonlinear oscillator; Nonlinear oscillatory wave

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PENDULUMS; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

EID: 20444372613     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/hxh041     Document Type: Article
Times cited : (8)

References (10)
  • 3
    • 0030104181 scopus 로고    scopus 로고
    • A technique for the numerical verification of asymptotic expansions
    • Bosley, D. L. (1996) A technique for the numerical verification of asymptotic expansions. SIAM Rev., 38, 128-135.
    • (1996) SIAM Rev. , vol.38 , pp. 128-135
    • Bosley, D.L.1
  • 4
    • 0001651536 scopus 로고
    • The modulated phase shift for strongly nonlinear slowly varying, and weakly damped oscillators
    • Bourland, F. J. & Haberman, R. (1988) The modulated phase shift for strongly nonlinear slowly varying, and weakly damped oscillators. SIAM J. Appl. Math., 48, 737-748.
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 737-748
    • Bourland, F.J.1    Haberman, R.2
  • 7
    • 0007070254 scopus 로고
    • Asymptotic solutions of nonlinear second order differential equations with variable coefficients
    • (Russian). J. Appl. Math. Mech., 23 (1959), 730-744 (English)
    • Kuzmak, G. E. (1959) Asymptotic solutions of nonlinear second order differential equations with variable coefficients. Prikl. Mat. Mekh., 23, 515-526 (Russian). J. Appl. Math. Mech., 23 (1959), 730-744 (English).
    • (1959) Prikl. Mat. Mekh. , vol.23 , pp. 515-526
    • Kuzmak, G.E.1
  • 8
    • 0000557030 scopus 로고
    • A perturbation method for nonlinear dispersive wave problems
    • Luke, J. C. (1966) A perturbation method for nonlinear dispersive wave problems. Proc. R. Soc. A, 292, 403-412.
    • (1966) Proc. R. Soc. A , vol.292 , pp. 403-412
    • Luke, J.C.1
  • 9
    • 0033169507 scopus 로고    scopus 로고
    • The single-mode rate equations for semiconductor lasers with thermal effects
    • Smith, W. R., King, J. R., Tuck, B. & Orton, J. W. (1999) The single-mode rate equations for semiconductor lasers with thermal effects. IMA J. Appl. Math., 63, 1-36.
    • (1999) IMA J. Appl. Math. , vol.63 , pp. 1-36
    • Smith, W.R.1    King, J.R.2    Tuck, B.3    Orton, J.W.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.