| [1] Harberman R.Slowly-varying jump and transition phenomena associated with algebraic bifurcation problems[J].SIAM J Appl Math,1979,37(1):69~106.
[2] Virgin L N.Parametric studies of the dynamic evolution through a fold[J].J Sound and Vibration,1986,110(1):99~109.
[3] Maree G J M.Slow passage through a pitchfork bifurcation[J].SIAM Appl Math,1996,56(3):889~918.
[4] M aree G J M.Sudden exchange in a second-order nonlinear system with a slowly-varying parameter[J].Int J Non-Linear Mechanics,1993,28(5):1117~1133.
[5] Lebovitz N R,Pesci A I.Dynamic bifurcation in Hamiltonian systems with one degree of freedom[J].SIAM J Appl Math,1995,55(4):69~100.
[6] Mandel P,Erneux T,Laser-Lorenz Equations with a time-dependent parameter[J].Phys Rey Lett,1984,53(19):1818~1820.
[7] Erneux T,Mandel P.Stationary harmonic,and pulsed operations of an optical bistable laser with saturable absorber,1[J].Phys Rev A,1984,30(4):1902~1909.
[8] Erneux T,Mandel P.Imperfect bif urcation with a slowly varying control parameter[J].SIAM J Appl Math,1986,46(1):1~15.
[9] Mandel P,Erneux T.The slow passage through a steady bifurcation:Delay and memory effects[J].J Statistical Physics,1987,48(5/6):1059~1071.
[10] HUA Cun-cai,LU Qi-shao.Bif urcation and optical bistability of Laser-Lorenz equations induced by a pump parameter slowly varying time[J].Acta Physica Sinica,1999,48(3):408~415.(in Chinese)
[11] Wiggins S.Introduction to Applied Nonlinear Dynamical Systems and Chaos[M].New York:Springer-Verlag,1990.
[12] LU Qi-shao.Qualitative Methods and Bifurcation for Ordinary Differential Equ ations[M].Beijing:Press of Beijing University of Aeronautics and Astronautics,1989.(in Chinese) |
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