메뉴 건너뛰기




Volumn 14, Issue 8, 2004, Pages 2825-2842

Bifurcation analysis on a self-excited hysteretic system

Author keywords

Constrained bifurcation problem; Hysteretic system; Nonsmooth function; Singularity theory; Transition variety

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; CONSTRAINT THEORY; DAMPING; HYSTERESIS; MAPPING; PROBLEM SOLVING;

EID: 4944239385     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404010862     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 0033921775 scopus 로고    scopus 로고
    • On mutating autocatalytic reactions in a CSTR. I: Multiplicity of steady states
    • Alhumaizi, K. I. & Abasaeed, A. E. [2000] "On mutating autocatalytic reactions in a CSTR. I: Multiplicity of steady states," Chem. Engin. Sci. 55, 3919-3928.
    • (2000) Chem. Engin. Sci. , vol.55 , pp. 3919-3928
    • Alhumaizi, K.I.1    Abasaeed, A.E.2
  • 2
    • 0036337376 scopus 로고    scopus 로고
    • Asymptotic analysis of a new piecewise-linear chaotic system
    • Aziz-Alaoui, M. A. & Chen, G. [2002] "Asymptotic analysis of a new piecewise-linear chaotic system," Int. J. Bifurcations and Chaos 12, 147-157.
    • (2002) Int. J. Bifurcations and Chaos , vol.12 , pp. 147-157
    • Aziz-Alaoui, M.A.1    Chen, G.2
  • 3
    • 0033229544 scopus 로고    scopus 로고
    • Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems
    • Bernardo, M. D., Feigin, M. I., Hogan, S. J. & Homer, M. E. [1999] "Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems," Chaos Solit. Fract. 10, 1881-1908.
    • (1999) Chaos Solit. Fract. , vol.10 , pp. 1881-1908
    • Bernardo, M.D.1    Feigin, M.I.2    Hogan, S.J.3    Homer, M.E.4
  • 4
    • 0037105976 scopus 로고    scopus 로고
    • Bifurcations of dynamical systems with sliding: Derivation of normal-form mappings
    • Bernardo, M. D., Kowalczyk, P. & Nordmarkb, A. [2002] "Bifurcations of dynamical systems with sliding: derivation of normal-form mappings," Physica D170, 175-205.
    • (2002) Physica , vol.D170 , pp. 175-205
    • Bernardo, M.D.1    Kowalczyk, P.2    Nordmarkb, A.3
  • 5
    • 0036553328 scopus 로고    scopus 로고
    • Bifurcation and universal unfolding for a rotating shaft with unsymmetrical stiffness
    • Chen, F. Q., Wu, Z. Q. & Chen, Y. S. [2002] "Bifurcation and universal unfolding for a rotating shaft with unsymmetrical stiffness," Acta Mech. Sin. 18, 181-187.
    • (2002) Acta Mech. Sin. , vol.18 , pp. 181-187
    • Chen, F.Q.1    Wu, Z.Q.2    Chen, Y.S.3
  • 6
    • 0030190313 scopus 로고    scopus 로고
    • Local bifurcation theory of nonlinear systems with parametric excitation
    • Chen, Y. S. & Xu, J. [1996] "Local bifurcation theory of nonlinear systems with parametric excitation," Nonlin. Dyn. 10, 203-220.
    • (1996) Nonlin. Dyn. , vol.10 , pp. 203-220
    • Chen, Y.S.1    Xu, J.2
  • 7
    • 0001501979 scopus 로고
    • A numerical study of an impact oscillator with the addition of dry friction
    • Cone, K. M. & Zadoks, R. I. [1995] "A numerical study of an impact oscillator with the addition of dry friction," J. Sound Vibr. 188, 659-683.
    • (1995) J. Sound Vibr. , vol.188 , pp. 659-683
    • Cone, K.M.1    Zadoks, R.I.2
  • 8
    • 0035797625 scopus 로고    scopus 로고
    • Dynamic analysis of a self-excited hysteretic system
    • Ding, Q., Leung, A. Y. T. & Cooper, J. E. [2001] "Dynamic analysis of a self-excited hysteretic system," J. Sound Vibr. 245, 151-164.
    • (2001) J. Sound Vibr. , vol.245 , pp. 151-164
    • Ding, Q.1    Leung, A.Y.T.2    Cooper, J.E.3
  • 9
    • 0030143767 scopus 로고    scopus 로고
    • Effect of stability analysis of free running microwave oscillators in the frequency domain
    • Fillb, M. C. K. & Russer, P. [1996] "Effect of stability analysis of free running microwave oscillators in the frequency domain," Int. J. Numer. Model. Electron. Net. Dev. Fields 9, 171-179.
    • (1996) Int. J. Numer. Model. Electron. Net. Dev. Fields , vol.9 , pp. 171-179
    • Fillb, M.C.K.1    Russer, P.2
  • 10
    • 0036696771 scopus 로고    scopus 로고
    • Bifurcation sets of symmetrical continuous piecewise linear systems with three zones
    • Freire, E., Ponce, E., Rodrigo, F. & Torres F. [2002] "Bifurcation sets of symmetrical continuous piecewise linear systems with three zones," Int. J. Bifurcation and Chaos 12, 1675-1702.
    • (2002) Int. J. Bifurcation and Chaos , vol.12 , pp. 1675-1702
    • Freire, E.1    Ponce, E.2    Rodrigo, F.3    Torres, F.4
  • 12
    • 4944232843 scopus 로고
    • Advances in dynamics of piecewise-smooth mechanical systems
    • Hu, H. Y. [1995] "Advances in dynamics of piecewise-smooth mechanical systems," J. Vibr. Engin. 8, 331-341.
    • (1995) J. Vibr. Engin. , vol.8 , pp. 331-341
    • Hu, H.Y.1
  • 13
    • 0029637848 scopus 로고
    • Analysis of periodically excited nonlinear systems by a parametric continuation technique
    • Padmanabhan, C. & Singh, R. [1995] "Analysis of periodically excited nonlinear systems by a parametric continuation technique," J. Sound Vibr. 184, 35-58.
    • (1995) J. Sound Vibr. , vol.184 , pp. 35-58
    • Padmanabhan, C.1    Singh, R.2
  • 14
    • 0002930937 scopus 로고    scopus 로고
    • Grazing bifurcations and basins of attraction in an impact-friction oscillator
    • Virgin, L. N. & Begley, C. J. [1999] "Grazing bifurcations and basins of attraction in an impact-friction oscillator," Physica D130, 43-57.
    • (1999) Physica , vol.D130 , pp. 43-57
    • Virgin, L.N.1    Begley, C.J.2
  • 15
    • 0035502835 scopus 로고    scopus 로고
    • New bifurcation patterns in elementary bifurcation problems with singleside constraint
    • Wu, Z. Q. & Chen, Y. S. [2001] "New bifurcation patterns in elementary bifurcation problems with singleside constraint," Appl. Math. Mech. 22, 1260-1267.
    • (2001) Appl. Math. Mech. , vol.22 , pp. 1260-1267
    • Wu, Z.Q.1    Chen, Y.S.2
  • 16
    • 51649167559 scopus 로고    scopus 로고
    • Classification of bifurcations for nonlinear dynamical problems with constrains
    • Wu, Z. Q. & Chen, Y. S. [2002] "Classification of bifurcations for nonlinear dynamical problems with constrains," Appl. Math. Mech. 23, 535-541.
    • (2002) Appl. Math. Mech. , vol.23 , pp. 535-541
    • Wu, Z.Q.1    Chen, Y.S.2
  • 17
    • 0034257466 scopus 로고    scopus 로고
    • Piecewise-linear chaotic systems with a single equilibrium point
    • Yang, T. & Chua, L. O. [2000] "Piecewise-linear chaotic systems with a single equilibrium point," Int. J. Bifurcation and Chaos 10, 2015-2060.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , pp. 2015-2060
    • Yang, T.1    Chua, L.O.2
  • 18
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • Yu, P. [1998] "Computation of normal forms via a perturbation technique," J. Sound Vibr. 211, 19-38.
    • (1998) J. Sound Vibr. , vol.211 , pp. 19-38
    • Yu, P.1
  • 19
    • 0036187827 scopus 로고    scopus 로고
    • Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
    • Yu, P. [2002] "Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales," Nonlin. Dyn. 27, 19-53.
    • (2002) Nonlin. Dyn. , vol.27 , pp. 19-53
    • Yu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.