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Volumn 40, Issue 3, 2003, Pages 255-270

On the reduction of some second-order nonlinear ODEs in physics and mechanics to first-order nonlinear integrodifferential and Abel's classes of equations

Author keywords

Asymptotic solutions; Cubic nonlinearities; Nonlinear ordinary differential equations

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; STIFFNESS;

EID: 0242369090     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2003.09.001     Document Type: Article
Times cited : (8)

References (19)
  • 1
    • 0001629671 scopus 로고
    • Discreteness effects on non-topological kink soliton dynamics in nonlinear lattices
    • Peyrard M. Pnevmatikos S. Discreteness effects on non-topological kink soliton dynamics in nonlinear lattices Physica D 19 1986 268-281
    • (1986) Physica D , vol.19 , pp. 268-281
    • Peyrard, M.1    Pnevmatikos, S.2
  • 3
    • 0031199637 scopus 로고    scopus 로고
    • Study of two-dimensional axisymmetric breathers using Padé approximants
    • Emaci E. Vakakis A.F. Andrianov I.V. Mikhlin Yu. Study of two-dimensional axisymmetric breathers using Padé approximants Nonlinear Dynamics 13 1997 327-338
    • (1997) Nonlinear Dynamics , vol.13 , pp. 327-338
    • Emaci, E.1    Vakakis, A.F.2    Andrianov, I.V.3    Mikhlin, Yu.4
  • 8
    • 36849104452 scopus 로고
    • Perturbation theory for damped nonlinear oscillators
    • Mendelson K.S. Perturbation theory for damped nonlinear oscillators Journal of Mathematical Physics II 1970 3413-3415
    • (1970) Journal of Mathematical Physics , vol.2 , pp. 3413-3415
    • Mendelson, K.S.1
  • 12
    • 84980186733 scopus 로고
    • Periodic forced vibrations of systems of relaxation oscillators
    • Stoker J.J. Periodic forced vibrations of systems of relaxation oscillators Communications on Pure and Applied Mathematics 33 1980 215-240
    • (1980) Communications on Pure and Applied Mathematics , vol.33 , pp. 215-240
    • Stoker, J.J.1
  • 13
    • 10544225797 scopus 로고
    • Bifurcation of periodic motions in two weakly coupled Van der Pol oscillators
    • Rand R.H. Holmes P. Bifurcation of periodic motions in two weakly coupled Van der Pol oscillators International Journal of Non-Linear Mechanics 15 1980 215-240
    • (1980) International Journal of Non-Linear Mechanics , vol.15 , pp. 215-240
    • Rand, R.H.1    Holmes, P.2
  • 14
    • 0036537877 scopus 로고    scopus 로고
    • On the solution of the unforced damped Duffing oscillator with no linear stiffness term
    • Panayotounakos D.E. Panayotounakou A.D. Vakakis A.F. On the solution of the unforced damped Duffing oscillator with no linear stiffness term Nonlinear Dynamics 28 2002 1-16
    • (2002) Nonlinear Dynamics , vol.28 , pp. 1-16
    • Panayotounakos, D.E.1    Panayotounakou, A.D.2    Vakakis, A.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.