Titlebook: Nonlinear Phenomena in Physics and Biology; Richard H. Enns (Director),Billy L. Jones (Co-dire Book 1981 Springer Science+Business Media N

縱欲

Computation and Innovation in the Nonlinear Sciencesorganized 14 years ago. Several members of the present faculty or their teachers were there. W. Heisenberg, well-known for his pioneering contributions to quantum mechanics, opened the School with a talk “Nonlinear Problems in Physics” [Heisenberg, 1967] that I take the liberty of distilling into fo

inventory

Introduction to Nonlinear Wavesn a small room; nor can one now read the important papers in a few weeks. The early, innocent days are gone, and (as Fig. 1 shows) soliton research output has entered a period of exponential growth with a doubling time of about 18 months. The solitary wave concept has emerged as a widely accepted pa

劇本

Mettle

drusen

Contour Dynamics: A Boundary Integral Evolutionary Method for Inviscid Incompressible Flowse fluids in two dimensions. For example, the method is applicable to the Euler equations, in homogeneous and stratified media and the equations for a “deformable” dielectric (or an ionospheric plasma cloud). In essence the “sources” of motion are singular points and/or piecewise-constant regions of

周興旺

Numerical Computation of Nonlinear Wavesderivatives. In contrast to the case of ordinary differential equations, it tends to be true that each equation involving partial derivatives requires a special solution technique. There are of course some very general approaches, like finite differences, finite elements, spectral decomposition etc.

Callus

Bifurcations, Fluctuations and Dissipative Structuresna, generally studied by means of nonequilibrium thermodynamics, is quite different from solitons and other structures appearing in nonlinear Hamiltonian systems, which were covered by many lecturers at this school.

SNEER

Chemical Oscillationsurcation methods and various aspects of singular perturbations, will be discussed, but mostly in the context of specific examples related to chemical oscillations and waves. The more general background can be found in the paper by Professor Nicolis [1973].

EWER

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Bifurcations in Insect Morphogenesis Ie of enthusiasm coincides with Wolpert’s reformulation of this fundamental problem in terms of the concept of positional information [Wolpert, 1969, 1971]. Novel features of Wolpert’s theory have led both to proposals of alternative “coordinate systems” supplying positional information, and to a ric