메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages

Analytical prediction of stick-slip chaos in a double self-excited Duffing-type oscillator

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; MATHEMATICAL MODELS; OSCILLATIONS;

EID: 33746866773     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/MPE/2006/70245     Document Type: Article
Times cited : (15)

References (27)
  • 1
    • 36749107242 scopus 로고
    • Melnikov's method and Arnol'd diffusion for perturbations of integrable Hamiltonian systems
    • P. Holmes J. E. Marsden Melnikov's method and Arnol'd diffusion for perturbations of integrable Hamiltonian systems. Journal of Mathematical Physics 23 1982 4 669 675
    • (1982) Journal of Mathematical Physics , vol.23 , Issue.4 , pp. 669-675
    • Holmes, P.1    Marsden, J.E.2
  • 6
    • 25844520919 scopus 로고
    • Fractal basin boundaries and homoclinic orbits for periodic motion in a two-well potential
    • F. C. Moon G.-X. Li Fractal basin boundaries and homoclinic orbits for periodic motion in a two-well potential. Physical Review Letters 55 1985 14 1439 1442
    • (1985) Physical Review Letters , vol.55 , Issue.14 , pp. 1439-1442
    • Moon, F.C.1    Li, G.-X.2
  • 8
    • 0019064545 scopus 로고
    • Experiments on chaotic motions of a forced nonlinear oscilator: Strange attractors
    • F. C. Moon Experiments on chaotic motions of a forced nonlinear oscilator: strange attractors. Journal of Applied Mechanics 8 1980 638 644
    • (1980) Journal of Applied Mechanics , vol.8 , pp. 638-644
    • Moon, F.C.1
  • 11
    • 0003156167 scopus 로고
    • Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
    • B.-P. Koch R. W. Leven Subharmonic and homoclinic bifurcations in a parametrically forced pendulum. Physica D. Nonlinear Phenomena 16 1985 1 1 13
    • (1985) Physica D. Nonlinear Phenomena , vol.16 , Issue.1 , pp. 1-13
    • Koch, B.-P.1    Leven, R.W.2
  • 12
    • 4243736575 scopus 로고
    • Power spectra of strange attractors near homoclinic orbits
    • V. Brunsden P. Holmes Power spectra of strange attractors near homoclinic orbits. Physical Review Letters 58 1987 17 1699 1702
    • (1987) Physical Review Letters , vol.58 , Issue.17 , pp. 1699-1702
    • Brunsden, V.1    Holmes, P.2
  • 13
    • 0023324750 scopus 로고
    • The Mel'nikov technique for highly dissipative systems
    • F. M. A. Salam The Mel'nikov technique for highly dissipative systems. SIAM Journal on Applied Mathematics 47 1987 2 232 243
    • (1987) SIAM Journal on Applied Mathematics , vol.47 , Issue.2 , pp. 232-243
    • Salam, F.M.A.1
  • 14
    • 33746906246 scopus 로고
    • Analysis of self-excited vibration due to dry friction in a system with two degrees of freedom
    • J. Awrejcewicz Analysis of self-excited vibration due to dry friction in a system with two degrees of freedom. Scientific Bulletin of Technical University of Lodz, Mechanics 82 1993 921 931
    • (1993) Scientific Bulletin of Technical University of Lodz, Mechanics , vol.82 , pp. 921-931
    • Awrejcewicz, J.1
  • 15
    • 0033096056 scopus 로고    scopus 로고
    • Melnikov's method and stick-slip chaotic oscillations in very weakly forced mechanical systems
    • J. Awrejcewicz M. Holicke Melnikov's method and stick-slip chaotic oscillations in very weakly forced mechanical systems. International Journal of Bifurcation and Chaos 9 1999 3 505 518
    • (1999) International Journal of Bifurcation and Chaos , vol.9 , Issue.3 , pp. 505-518
    • Awrejcewicz, J.1    Holicke, M.2
  • 21
    • 0142242149 scopus 로고    scopus 로고
    • Influence of tribilogical processes on a chaotic motions of a bush in a cylinder-bush system
    • J. Awrejcewicz Yu. Pyryev Influence of tribilogical processes on a chaotic motions of a bush in a cylinder-bush system. Meccanica 38 2003 6 749 761
    • (2003) Meccanica , vol.38 , Issue.6 , pp. 749-761
    • Awrejcewicz, J.1    Pyryev, Yu.2
  • 23
    • 0001566601 scopus 로고
    • The existence of homoclinic orbits and the method of Melnikov for systems in Rn
    • J. Gruendler The existence of homoclinic orbits and the method of Melnikov for systems in Rn. SIAM Journal on Mathematical Analysis 16 1985 5 907 931
    • (1985) SIAM Journal on Mathematical Analysis , vol.16 , Issue.5 , pp. 907-931
    • Gruendler, J.1
  • 24
    • 0001321833 scopus 로고
    • Homoclinic solutions for autonomous dynamical systems in arbitrary dimension
    • J. Gruendler Homoclinic solutions for autonomous dynamical systems in arbitrary dimension. SIAM Journal on Mathematical Analysis 23 1992 3 702 721
    • (1992) SIAM Journal on Mathematical Analysis , vol.23 , Issue.3 , pp. 702-721
    • Gruendler, J.1
  • 25
    • 33646946232 scopus 로고
    • Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
    • J. Gruendler Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations. Journal of Differential Equations 122 1995 1 1 26
    • (1995) Journal of Differential Equations , vol.122 , Issue.1 , pp. 1-26
    • Gruendler, J.1
  • 27
    • 33746876667 scopus 로고
    • Solution to problem 83-10
    • C. Georghiou Solution to problem 83-10. SIAM Review 26 1984 2 282 283
    • (1984) SIAM Review , vol.26 , Issue.2 , pp. 282-283
    • Georghiou, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.