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Volumn 16, Issue 2, 2003, Pages 299-309

Construction of homoclinic and heteroclinic trajectories in mechanical systems with several equilibrium positions

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; INTEGRATION; TRAJECTORIES; VIBRATIONS (MECHANICAL);

EID: 0037332901     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00404-6     Document Type: Article
Times cited : (12)

References (17)
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    • (1963) Trans Moscow Math Soc , vol.12 , pp. 1-57
    • Melnikov, V.K.1
  • 4
    • 0000069184 scopus 로고
    • A nonlinear oscillator with a strange attractor
    • Holmes P.J. A nonlinear oscillator with a strange attractor. Philos. Trans. Roy. Soc. A. 292:1978;419-448.
    • (1978) Philos Trans Roy Soc A , vol.292 , pp. 419-448
    • Holmes, P.J.1
  • 6
    • 0001597679 scopus 로고
    • Melnikov's method and averaging
    • Sanders J.A. Melnikov's method and averaging. Celestial Mech. 28:1982;171-181.
    • (1982) Celestial Mech , vol.28 , pp. 171-181
    • Sanders, J.A.1
  • 7
    • 0011892550 scopus 로고
    • Two-point quasifractional approximant in physics, truncation error
    • Martin P., Baker G.A. Two-point quasifractional approximant in physics, truncation error. J. Math. Phys. 32:1991;1470.
    • (1991) J Math Phys , vol.32 , pp. 1470
    • Martin, P.1    Baker, G.A.2
  • 9
    • 0000602551 scopus 로고
    • Matching of local expansions in the theory of nonlinear vibrations
    • Mikhlin Yu.V. Matching of local expansions in the theory of nonlinear vibrations. J. Sound Vibration. 182:1995;577-588.
    • (1995) J Sound Vibration , vol.182 , pp. 577-588
    • Mikhlin, Yu.V.1
  • 11
    • 0031199637 scopus 로고    scopus 로고
    • Study of two-dimensional axisymmetric breathers using Pade' approximants
    • Emaci E., Vakakis A.F., Andrianov I.V., Mikhlin Yu.V. Study of two-dimensional axisymmetric breathers using Pade' approximants. Nonlinear Dyn. 13:1997;327-338.
    • (1997) Nonlinear Dyn , vol.13 , pp. 327-338
    • Emaci, E.1    Vakakis, A.F.2    Andrianov, I.V.3    Mikhlin, Yu.V.4
  • 12
    • 0032027324 scopus 로고    scopus 로고
    • Analytic approximation of the homoclinic orbits of the Lorenz system
    • Vakakis A.F., Azeez F.A. Analytic approximation of the homoclinic orbits of the Lorenz system. Nonlinear Dyn. 15:1998;245-257.
    • (1998) Nonlinear Dyn , vol.15 , pp. 245-257
    • Vakakis, A.F.1    Azeez, F.A.2
  • 13
    • 0033752515 scopus 로고    scopus 로고
    • Analytical construction of homoclinic orbits of two- and three-dimensional dynamical systems
    • Mikhlin Yu.V. Analytical construction of homoclinic orbits of two- and three-dimensional dynamical systems. J. Sound Vibration. 230(5):2000;971-983.
    • (2000) J Sound Vibration , vol.230 , Issue.5 , pp. 971-983
    • Mikhlin, Yu.V.1
  • 17
    • 0002682895 scopus 로고
    • Chaotic behavior of a parametrically excited damped pendulum
    • Leven R.W., Koch B.P. Chaotic behavior of a parametrically excited damped pendulum. Phys. Lett. 86A(2):1981;71-74.
    • (1981) Phys Lett , vol.86 A , Issue.2 , pp. 71-74
    • Leven, R.W.1    Koch, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.