메뉴 건너뛰기




Volumn 56, Issue 2, 1996, Pages 420-445

An improved matching procedure for transient resonance layers in weakly nonlinear oscillatory systems

Author keywords

Asymptotic matching; Averaging; Interior layers; Multiple scales; Transient resonance; Weakly nonlinear

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CALCULATIONS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS;

EID: 0030127192     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139994266773     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 84954413365 scopus 로고
    • Semi-resonant interactions and frequency dividers
    • M. J. ABLOWITZ, B. A. FUNK, AND A. C. NEWELL, Semi-resonant interactions and frequency dividers, Stud. Appl. Math., 52 (1973), pp. 51-74.
    • (1973) Stud. Appl. Math. , vol.52 , pp. 51-74
    • Ablowitz, M.J.1    Funk, B.A.2    Newell, A.C.3
  • 2
    • 0001687527 scopus 로고
    • Conditions for the applicability, and estimate of the error, of an averaging method for systems which pass through states of resonance in the course of their evolution
    • V. I. ARNOL'D, Conditions for the applicability, and estimate of the error, of an averaging method for systems which pass through states of resonance in the course of their evolution, Sov. Math. Dokl., 6 (1965), pp. 331-334.
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 331-334
    • Arnol'd, V.I.1
  • 3
    • 0026845576 scopus 로고
    • Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems
    • D. L. BOSLEY AND J. KEVORKIAN, Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems, SIAM J. Appl. Math., 52 (1992), pp. 494-527.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 494-527
    • Bosley, D.L.1    Kevorkian, J.2
  • 4
    • 21844519935 scopus 로고
    • On the asymptotic solution of non-Hamiltonian systems exhibiting sustained resonance
    • _, On the asymptotic solution of non-Hamiltonian systems exhibiting sustained resonance, Stud. Appl. Math., 94 (1995), pp. 83-130.
    • (1995) Stud. Appl. Math. , vol.94 , pp. 83-130
  • 5
    • 0347104526 scopus 로고
    • The passage of a nonlinear oscillating system through resonance
    • B. V. CHIRIKOV, The passage of a nonlinear oscillating system through resonance, Sov. Phys. Dokl., 4 (1959), pp. 390-394.
    • (1959) Sov. Phys. Dokl. , vol.4 , pp. 390-394
    • Chirikov, B.V.1
  • 7
    • 0016337150 scopus 로고
    • Resonance for a forced N-dimensional oscillator
    • A. K. GAUTESEN, Resonance for a forced N-dimensional oscillator, SIAM J. Appl. Math., 27 (1974), pp. 526-530.
    • (1974) SIAM J. Appl. Math. , vol.27 , pp. 526-530
    • Gautesen, A.K.1
  • 8
    • 0023401824 scopus 로고
    • Triad resonance for weakly coupled, slowly varying oscillators
    • R. GRIMSHAW, Triad resonance for weakly coupled, slowly varying oscillators, Stud. Appl. Math., 77 (1987), pp. 1-35.
    • (1987) Stud. Appl. Math. , vol.77 , pp. 1-35
    • Grimshaw, R.1
  • 9
    • 0015055674 scopus 로고
    • Passage through resonance for a one-dimensional oscillator with slowly varying frequency
    • See also erratum notice in 26 (1974), pp. 686
    • J. KEVORKIAN, Passage through resonance for a one-dimensional oscillator with slowly varying frequency, SIAM J. Appl. Math., 20 (1971), pp. 364-373. (See also erratum notice in 26 (1974), pp. 686.)
    • (1971) SIAM J. Appl. Math. , vol.20 , pp. 364-373
    • Kevorkian, J.1
  • 10
    • 0016060391 scopus 로고
    • On a model for re-entry roll resonance
    • _, On a model for re-entry roll resonance, SIAM J. Appl. Math., 26 (1974), pp. 638-669.
    • (1974) SIAM J. Appl. Math. , vol.26 , pp. 638-669
  • 11
    • 0018982295 scopus 로고
    • Resonance in a weakly nonlinear system with slowly varying parameters
    • _, Resonance in a weakly nonlinear system with slowly varying parameters, Stud. Appl. Math., 62 (1980), pp. 23-67.
    • (1980) Stud. Appl. Math. , vol.62 , pp. 23-67
  • 13
    • 0020116756 scopus 로고
    • Adiabatic invariance and passage through resonance for nearly periodic Hamiltonian systems
    • J. KEVORKIAN, Adiabatic invariance and passage through resonance for nearly periodic Hamiltonian systems, Stud. Appl. Math., 66 (1982), pp. 95-119.
    • (1982) Stud. Appl. Math. , vol.66 , pp. 95-119
    • Kevorkian, J.1
  • 14
    • 0023422341 scopus 로고
    • Perturbation techniques for oscillatory systems with slowly varying coefficients
    • _, Perturbation techniques for oscillatory systems with slowly varying coefficients, SIAM Rev., 29 (1987), pp. 391-461.
    • (1987) SIAM Rev. , vol.29 , pp. 391-461
  • 17
    • 4243133043 scopus 로고
    • On destruction of adiabatic invariants in multi-frequency systems
    • C. Perello, C. Simo, and J. Sola-Morales, eds., World Scientific, New York
    • A. I. NEISHTADT, On destruction of adiabatic invariants in multi-frequency systems, in Equadiff-91, International Conference on Differential Equations, C. Perello, C. Simo, and J. Sola-Morales, eds., World Scientific, New York, 1993, pp. 195-207.
    • (1993) Equadiff-91, International Conference on Differential Equations , pp. 195-207
    • Neishtadt, A.I.1
  • 18
    • 0019045995 scopus 로고
    • The method of near-identity transformations and its applications
    • J. C. NEU, The method of near-identity transformations and its applications, SIAM J. Appl. Math., 38 (1980), pp. 189-208.
    • (1980) SIAM J. Appl. Math. , vol.38 , pp. 189-208
    • Neu, J.C.1
  • 19
    • 0009264154 scopus 로고
    • The passage of weakly coupled nonlinear oscillators through internal resonance
    • L. A. RUBENFELD, The passage of weakly coupled nonlinear oscillators through internal resonance, Stud. Appl. Math., 57 (1977), pp. 77-92.
    • (1977) Stud. Appl. Math. , vol.57 , pp. 77-92
    • Rubenfeld, L.A.1
  • 20
    • 4243107663 scopus 로고
    • On the passage through resonance
    • J. A. SANDERS, On the passage through resonance, SIAM J. Math. Anal., 10 (1979), pp. 1220-1243.
    • (1979) SIAM J. Math. Anal. , vol.10 , pp. 1220-1243
    • Sanders, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.