Kevin H. Prendergast papers, 1954-1990

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Series III: Dynamical Systems and Applied Mathematics



Box 28 Hamiltonian system (H=1⁄2(X.2+Y.2+X2+Y2)+X2Y)


Box 28 Variational principle for Hamiltonian systems and vanishing Henyey determinant, [1980s?]


Box 28 Duffing equation



Box 29 Duffing with driving


Box 29 Duffing equation: NR correction


Box 29 Duffing, van der Pol—high order approximation (rational approximation, [1980s?]


Box 29 Van der Pol oscillator, [1980s?]


Box 29 Van der Pol oscillator


Box 29 Hamilton-Jacobi equation


Box 29 Fourier-Pade (x..+x7=0), higher order correction


Box 29 Fourier-Pade equation


Box 29 Fourier Pade equation ( (x..+x3=0), higher order correction



Box 30 Fourier-Pade integration


Box 30 Pade: 2D: ordinary differential equations of higher order, 1D: quadratic, etc.


Box 30 Mathieu equation


Box 30 Mathieu equation: two-point approximation


Box 30 kdV equation with implicit function


Box 30 Liouville equation


Box 30 Liouville equation (Woods Hole), 1969


Box 30 Eckonal equation


Box 30 Rational approximation near w=0 (potential maximum)


Box 30 Rational-function orbits



Box 31 Rational approximation for a Hamiltonian system


Box 31 Rational approximation for non-linear ordinary differential equations


Box 31 "N/D"—rational approximation


Box 31 Discussion on the paper "Rational Approximations for a Hamiltonian System"


Box 31 Non-linear approximation: general discussions


Box 31 Non-linear approximation for ordinary differential equation


Box 31 Non-linear approximation for periodic orbits in a Hamiltonian System



Box 32 Non-linear oscillations


Box 32 Non-linear dynamics


Box 32 Singular point approximation—solution of D.E. at an assumed pole, [1980s?]


Box 32 Singularities and bifurcation


Box 32 (Equation) periodic solutions


Box 32 Bifurcation and vanishing of Henyey matrix and other difference equations


Box 32 "Implicit" form of solutions to ordinary difference equations


Box 32 Difference equations with noise


Box 32 Stretched coordinate systems


Box 32 Miscellaneous


Box 32 Talk on Non-linear mechanics (Fourier-Pade), New York University