YYY @Article{yao:1993, Author = "Yao, Xin", Title = "A review of evolutionary artificial neural networks", Journal = "Int. J. of Intelligent Systems", Volume = "8", Year = "1993", Pages = "539--567", Note = " I. Introduction, II. Evolution of EANN connection weights, A. Representation of connection weights as binary strings, B. Representation of connection weights as real numbers, C. Comparisons between evolutionary training and BP training, D. Hybrid evolutionary training approach, III. Evolution of EANN architectures, A. Direct encoding scheme for EANN connectivity, B. Indirect encoding scheme for EANN connectivity, C. Evolution of node transfer functions, D. Discussions, IV. Evolution of EANN learning rules, A. Evolution of BP algorithm parameters, B. Evolution of learning rules, C. Evolution of evaluation functions, V. Concluding remarks, A. A general framework for EANNs, B. Summary" } @incollection{yorke-yorke:1981, Author = "Yorke, J. A. and E. D. Yorke", Title = "Chaotic behavior and fluid dynamics", Booktitle = "Hydrodynamic Instabilities and the Transition to Turbulence", Editor = "H. L. Swinney and J. P. Gollub", Publisher = "Springer-Verlag", Year = "1981", Pages = "77--95", Note = " 1. Background, 2. The Lorenz equation, 3. Landau's idea: A continuous transition to turbulence via an infinite cascade of bifurcations, 4. One-dimensional maps: A continuous transition to chaos via an infinite cascade of bifurcations, 5. Long-term average behavior, 6. Metastable chaotic states" } Yoshida, Haruo, "Recent progress in the theory and application of symplectic integrators," Celestial Mechan. and Dynam. Astronomy, Vol. 56, 1993, pp. 27-43. 1. Introduction 1.1 Motivation 1.2 History of symplectic integrators 2. Implicit schemes 2.1 Generating function methods 2.2 Implicit Runge-Kutta methods 3. Explicit schemes 3.1 Ruth (1983) 3.2 Neri (1987) 3.3 Yoshida (1990) 4. General property 4.1 Conservation of energy 5. Application to specific problems 5.1 Kepler problem 5.2 Solar system 6. Miscellaneous problems 6.1 Variable time step 6.2 Large time step and chaos Yuen, H. C., "Recent advances in nonlinear water waves. An overview.", In _Nonlinear Topics in Ocean Physics_, A. R. Osborne, ed., North-Holland, 1991, pp. 461-498. 1. Introduction 2. Governing equations 2.1 Equations of motion 2.2 Dispersion relation 2.3 Weakly nonlinear waves - Stokes waves 2.4 Concept of a wave train 3. Weakly nonlinear waves in one space dimension 3.1 The nonlinear Schrodinger equation 3.2 Steady and quasi-steady solutions of the nonlinear Schrodinger equation 3.3 Envelope solitons 3.4 Modulational instability of the uniform wave train 3.5 Long-time evolution of an unstable wave train 3.6 Influence of initial conditions on long-time evolution 4. Weakly nonlinear waves in two space dimensions 4.1 Three-dimensional nonlinear Schrodinger equation 4.2 Steady solutions 4.3 Stability of a plane envelope soliton to two-space-dimensional perturbations 4.4 Recurrence 4.5 Long-time evolution of an unstable nonlinear wave train in two space dimensions 5. Spectral description of water waves 5.1 Stability of a uniform wave train 5.2 Stability in one space dimension 5.3 Stability in two space dimensions 5.4 Restabilization and bifurcation 6. A new type of three-dimensional instability 7. Epilog %ZZZZ @article{zakharov-kuznetsov:1984, Author = "Zakharov, V. E., and E. A. Kuznetsov", Title = "Hamiltonian formalism for systems of hydrodynamic type", Journal = "Soviet Scientific Reviews/Section C - Mathematical Physics Reviews", Volume = "4", Year = "1984", Pages = "167--220", Keywords = "Hamiltonian dynamics, hydrodynamics", TOC = " 1. General remarks, 2. Hamiltonian formalism in continuous media, 3. Canonical variables in hydrodynamics, 4. The Hopf invariant and Clebsch variables, 5. Inhomogeneous fluid and surface waves, 6. Hamiltonian formalism for plasma and magnetohydrodynamics, 7. The Hamiltonian formalism in kinetics, 8. Classical perturbation theory and reduction of Hamiltonians" } @incollection{zang-hussaini:1985, Author = "Zang, Thomas A. and M. Youseff Hussaini", Title = "Recent applications of spectral methods in fluid dynamics", Booktitle = "Large-Scale Computations in Fluid Mechanics, Part 2", Series = "Lectures in Applied Mathematics", Volume = "22", Year = "1985", Publisher = "American Mathematical Society, Providence, RI", Pages = "379--409", TOC = " I. Introduction, II. Hyperbolic equations a. Basic Fourier collocation concepts, b. Basic Chebyshev collocation concepts, c. Application to two-dimensional, supersonic flow, III. Parabolic equations, a. Basic Chebyshev tau concepts, b. Application to channel flow, IV. Elliptic equations, a. Poisson's equation, b. Spectral multigrid methods, c. Application to two-dimensional potential flow, V. A mixed equation" } Zeng, Xubin, Roger A. Pielke, and R. Eykholt, "Chaos theory and its applications to the atmosphere," Bull. Am. Meteorol. Soc., Vol. 74, 1993, pp. 631-644. 1. Introduction 2. Chaos theory a. Background b. Bifurcations and routes to turbulence c. Characterization of chaos 1) Dimensions of attractors 2) Lyapunov exponents of strange attractors 3) Computation of chaotic quantities 3. Applications of chaos theory a. New ideas and insights b. Analysis of observational data c. Analysis of output from numerical models 4. Conclusions and suggestions for future research