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by Chan Chi-kin. / Includes bibliographical references / Thesis (M.Ph.)--Chinese University of Hong Kong, 1985

by Kang Xiaosong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 44-47). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.4 / Chapter 2 --- Preliminary Analysis --- p.11 / Chapter 3 --- Liapunov-Schmidt Reduction --- p.16 / Chapter 4 --- A Maximizing Procedure --- p.27 / Chapter 5 --- Proof of Theorem 1.1 --- p.30 / Chapter 6 --- Proof of Theorem 1.2 --- p.33 / Chapter 7 --- Concluding Remarks --- p.42

by Tso Man Kit. / Thesis submitted in: December 2001. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 58-61). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminary analysis --- p.14 / Chapter 3 --- Liapunov-Schmidt reduction --- p.23 / Chapter 4 --- A minimizing procedure --- p.36 / Chapter 5 --- Proof of theorem 11 --- p.40 / Chapter 6 --- Proof of theorem 12 --- p.43 / Chapter 7 --- Proof of theorem 13 --- p.55 / Bibliography --- p.58

Ho Chiu Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 100-103). / Text in English; abstracts in English and Chinese. / Ho Chiu Man. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Historical Background --- p.1 / Chapter 1.2 --- Motivations of the Project --- p.3 / Chapter 1.3 --- Outline of Thesis --- p.4 / Chapter 2 --- Review on a One-dimensional Vibrating Cavity --- p.5 / Chapter 2.1 --- The R Function --- p.5 / Chapter 2.2 --- Photon Generation --- p.7 / Chapter 2.3 --- Instantaneous Mode Expansion --- p.10 / Chapter 2.4 --- Vacuum Energy Density --- p.15 / Chapter 3 --- Graphical Method --- p.17 / Chapter 3.1 --- Construction of R-function --- p.17 / Chapter 3.2 --- Fixed-point Analysis --- p.19 / Chapter 3.3 --- A Special Class of Mirror Trajectories --- p.23 / Chapter 3.4 --- Further Analysis --- p.27 / Chapter 4 --- Wave Evolution in a One-dimensional Vibrating Cavity --- p.32 / Chapter 4.1 --- Instantaneous Mode Expansion Method --- p.32 / Chapter 4.2 --- Transformation Method --- p.34 / Chapter 4.3 --- R-Method --- p.34 / Chapter 4.4 --- Consistency between Different Methods --- p.35 / Chapter 5 --- Floquet's Theory --- p.40 / Chapter 5.1 --- System of Linear Differential Equations with Time-dependent Coefficients --- p.40 / Chapter 5.2 --- Fundamental Set of Solutions and Matrizant --- p.41 / Chapter 5.3 --- System of Linear Differential Equations with Periodic Coefficients --- p.42 / Chapter 5.4 --- Possible Properties of the Solution --- p.43 / Chapter 5.5 --- Eigenvalues for the One-dimensional Vibrating Cavity --- p.44 / Chapter 6 --- Photon Creation in an Oscillating Spherical Cavity --- p.46 / Chapter 6.1 --- Mode Decomposition --- p.46 / Chapter 6.2 --- Bogoliubov Transformation --- p.48 / Chapter 6.3 --- Photon Creation --- p.51 / Chapter 6.4 --- Mean Electric Field Operator --- p.53 / Chapter 6.5 --- Illustrations and Observations --- p.54 / Chapter 7 --- Multiple Scale Analysis --- p.61 / Chapter 7.1 --- Photon Creation by First-order Multiple Scale Analysis --- p.61 / Chapter 7.2 --- Parametric Resonance --- p.64 / Chapter 7.3 --- Nonstationary Medium --- p.71 / Chapter 7.4 --- Photon Statistics --- p.74 / Chapter 7.5 --- Finite Temperature Correction --- p.75 / Chapter 8 --- Squeezing Effect of the Classical Waves --- p.76 / Chapter 8.1 --- Squeezing Effect in the One-dimensional Vibrating Cavity --- p.76 / Chapter 8.2 --- Squeezing Effect in the Oscillating Spherical Cavity --- p.81 / Chapter 9 --- Supersymmetric Approach to Photon Generation --- p.88 / Chapter 9.1 --- Field Quantization --- p.88 / Chapter 9.2 --- Adiabatic Approximation --- p.90 / Chapter 9.3 --- Scattering Interpretation --- p.91 / Chapter 9.4 --- Supersymmetric Approach --- p.93 / Chapter 9.5 --- Examples --- p.94 / Chapter 10 --- Conclusion --- p.98 / Bibliography --- p.100

Sun Siu-wing. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 50-51). / Abstracts in English and Chinese. / Acknowledgments --- p.i / Abstract --- p.ii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Equation without viscosity --- p.5 / Chapter 3 --- Equation with standard viscosity --- p.8 / Chapter 3.1 --- "Particular convective flux, f(x) =u2" --- p.8 / Chapter 3.2 --- Convex convective flux --- p.10 / Chapter 4 --- Equation with monotonic dissipative flux --- p.11 / Chapter 4.1 --- Large initial data --- p.12 / Chapter 4.2 --- Small initial data --- p.19 / Chapter 4.3 --- Unbounded dissipative flux --- p.28 / Chapter 5 --- Equation with non-monotonic dissipative flux --- p.31 / Chapter 5.1 --- Large initial data --- p.32 / Chapter 5.2 --- Small initial data --- p.37 / Chapter 6 --- Comparison and conclusions --- p.39 / Appendices --- p.42 / Chapter A --- Hopf-Cole transformation --- p.42 / Chapter B --- Dirichlet problem --- p.45 / Bibliography --- p.50

Cho, Chi Lam. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 63-65). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts also in Chinese.

Yim Man Yi = 亞擴散雙穩分數福克-普朗克系統的線性響應及隨機共振和有色噪音對雙穩系統所引起的效應 / 嚴敏儀. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 85-89). / Text in English; abstracts in English and Chinese. / Yim Man Yi = Ya kuo san shuang wen fen shu Fuke-Pulangke xi tong de xian xing xiang ying ji sui ji gong zhen he you se zao yin dui shuang wen xi tong suo yin qi de xiao ying / Yan Minyi. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Brownian motion and anomalous dynamics --- p.1 / Chapter 1.2 --- White and colored noises --- p.3 / Chapter 2 --- Linear response theory of sub diffusive Fokker-Planck systems --- p.6 / Chapter 2.1 --- Introduction to subdiffusive Fokker-Planck systems --- p.6 / Chapter 2.2 --- Spectral density --- p.8 / Chapter 2.3 --- Linear response --- p.11 / Chapter 2.4 --- Signal-to-noise ratio (SNR) --- p.13 / Chapter 2.5 --- Stochastic energy --- p.14 / Chapter 3 --- Perturbation due to a sinusoidal signal --- p.16 / Chapter 3.1 --- Presence of an external sinusoidal forcing --- p.16 / Chapter 3.1.1 --- PDF and linear reponse --- p.16 / Chapter 3.1.2 --- Phase lag --- p.19 / Chapter 3.1.3 --- SNR --- p.19 / Chapter 3.1.4 --- Stochastic energy --- p.23 / Chapter 3.2 --- Presence of a sinusoidally time-varying diffusion coefficient --- p.23 / Chapter 4 --- Perturbation due to a rectangular signal --- p.26 / Chapter 4.1 --- Linear response to a rectangular pulse --- p.26 / Chapter 4.2 --- Perturbation due to a periodic rectangular signal --- p.28 / Chapter 4.2.1 --- Linear response --- p.29 / Chapter 4.2.2 --- SNR --- p.31 / Chapter 4.2.3 --- Stochastic energy --- p.33 / Chapter 4.3 --- Comparison with the response to a sinusoidal driving force --- p.35 / Chapter 5 --- The Effects of Colored Noise on the Stationary Probability Distribution --- p.38 / Chapter 5.1 --- Formulation of a general colored noises-driven system --- p.39 / Chapter 5.2 --- Approximation schemes for a colored noise --- p.42 / Chapter 5.2.1 --- Decoupling approximation --- p.42 / Chapter 5.2.2 --- UCNA --- p.45 / Chapter 5.2.3 --- Small r approximation . --- p.46 / Chapter 5.2.4 --- Presence of an additive noise: g(x) = 1 --- p.47 / Chapter 5.2.5 --- Presence of a multiplicative noise: g(x) = x --- p.52 / Chapter 5.3 --- Approximation scheme for two colored noises --- p.53 / Chapter 5.3.1 --- Presence of two additive noises --- p.55 / Chapter 5.3.2 --- Presence of an additive noise and a multiplicative noise --- p.55 / Chapter 5.4 --- Unimodal-bimodal transitions --- p.61 / Chapter 6 --- A stochastic genetic regulatory transcription model with colored noises --- p.68 / Chapter 6.1 --- Biological background --- p.69 / Chapter 6.2 --- Effect of a single noise --- p.72 / Chapter 6.3 --- Effects of two noises --- p.75 / Chapter 6.4 --- Biological implications of colored noises in the model --- p.81 / Chapter 7 --- Conclusions --- p.82 / Bibliography --- p.85 / Chapter A --- Mittag-Leffler function --- p.90 / Chapter B --- H-function (Fox function) --- p.92 / Chapter C --- Operator algebra --- p.94 / Chapter D --- Mean first passage time --- p.97