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Volumn 34, Issue 3, 2006, Pages 281-306

Analysis and synthesis of perturbed Duffing oscillators

Author keywords

Elliptic functions; Limit cycles; Melnikov function; Nonlinear oscillations; Perturbed duffing equation; Perturbed duffing oscillators; Strongly nonlinear oscillators; Synthesis of oscillator systems

Indexed keywords

HAMILTONIANS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; POLYNOMIALS;

EID: 33744809298     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.351     Document Type: Article
Times cited : (18)

References (18)
  • 6
    • 80054863139 scopus 로고
    • Perturbations of the spherical pendulum and Abelian integrals
    • Horozov E. Perturbations of the spherical pendulum and Abelian integrals. Journal fur die Reine und Angewandte Mathematik 1990; 408:114-135.
    • (1990) Journal fur Die Reine und Angewandte Mathematik , vol.408 , pp. 114-135
    • Horozov, E.1
  • 7
    • 84963044168 scopus 로고
    • On the number of limit cycles in perturbations of quadratic Hamiltonian systems
    • Horozov E, Iliev ID. On the number of limit cycles in perturbations of quadratic Hamiltonian systems. Proceedings of the London Mathematical Society 1994; 69(3):198-224.
    • (1994) Proceedings of the London Mathematical Society , vol.69 , Issue.3 , pp. 198-224
    • Horozov, E.1    Iliev, I.D.2
  • 8
    • 2342447261 scopus 로고
    • Hubert's sixteenth problem (the second part): Its present state
    • Shi S. Hubert's sixteenth problem (the second part): its present state. Annales de Sciences Mathématiques du Québec 1990; 14(2):193-206.
    • (1990) Annales de Sciences Mathématiques du Québec , vol.14 , Issue.2 , pp. 193-206
    • Shi, S.1
  • 9
  • 10
    • 44949277236 scopus 로고
    • Bifurcation of limit cycles from quadratic isochrones
    • Chicone C, Jacobs M. Bifurcation of limit cycles from quadratic isochrones. Journal of Differential Equations 1991; 91(2):268-326.
    • (1991) Journal of Differential Equations , vol.91 , Issue.2 , pp. 268-326
    • Chicone, C.1    Jacobs, M.2
  • 11
    • 0028497510 scopus 로고
    • Bifurcation of limit cycles from center and separatrix cycles of planar analytic systems
    • Blows TR, Perko LM. Bifurcation of limit cycles from center and separatrix cycles of planar analytic systems. SIAM Review 1994; 36(3):341-376.
    • (1994) SIAM Review , vol.36 , Issue.3 , pp. 341-376
    • Blows, T.R.1    Perko, L.M.2
  • 12
    • 22844455226 scopus 로고    scopus 로고
    • The number of limit cycles due to polynomial perturbations of the harmonic oscillator
    • Iliev ID. The number of limit cycles due to polynomial perturbations of the harmonic oscillator. Mathematical Proceedings of the Cambridge Philosophical Society 1999; 127:317-322.
    • (1999) Mathematical Proceedings of the Cambridge Philosophical Society , vol.127 , pp. 317-322
    • Iliev, I.D.1
  • 17
    • 0003851731 scopus 로고
    • Abramowitz M. Stegun IA (eds). National Bureau of Standards, Applied Mathematics Series
    • Abramowitz M. Stegun IA (eds). Handbook of Mathematical Functions. National Bureau of Standards, Applied Mathematics Series, vol. 55, 1964.
    • (1964) Handbook of Mathematical Functions , vol.55


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.