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基本説明
Vol. 1: Mathematics, Economics and Engineering/Vol. 2: Physical Sciences. The international conference on dynamical systems and chaos brought together mathematicians, physicists, economists as well as engineers. These proceedings contain survey articles and research papers.
Full Description
The symposia take place every two years. They are the forum at which scientists concerned with shock waves present their research. They USE shock waves for chemical kinetics studies, for materials studies, and smashing kidney stones; they STUDY the phenomena associated with flows involving shock waves, such as supersonic flow, explosions, detonations, volcanic eruptions, and, in this symposium, even such with-it topics as impact of Shoemaker-Levy on Jupiter and blast waves in the World Trade Center. They also discover new, bigger and better ways of generating flows at hypervelocity speeds and develop their technological tools further.The international exchange of information is documented in the proceedings volumes, which have become a storehouse of information on the subject, documenting the history of this peculiar branch of science that involves chemists, physicists, engineers, geophysicists, material scientists and biologists.
Contents
Volume 1: zeta functions for maps of the interval, D. Ruelle; large deviation and metrical entropy, Y. Takahashi; non-existence theorems for homoclinic solutions for some dissipative Duffing's equations, T. Ding; multifractal formalism for stationary measures, F. Ledrappier; on the number of limit cycles of quadratic Hamiltonian systems under quadratic perturbations, Z.F. Zhang; a partial converse to Perron-Frobenius, R.F. Williams; transition from contracting to expanding singular cycles - the one-dimensional case, R. Labarca; deterministic cycles in evolving economy - time-frequency analysis of business cycles, P. Chen. (Part Contents). Volume 2: Nonlinear dynamics of two-dimensional foams, K. Kawasaki and T. Okuzono; classical and quantum mechanics of unstable dynamical systems, I. Prigogine; chaos, fractal and transport properties; a new insight into nonequilibrium statistical mechanics and irreversibility, P. Gaspard; structured random matrices in applications to quantum chaos, F.M. Izrailev; fractal spectra, quantum diffusion and chaos in lateral super-lattices, T. Geisel et al; reconstructing bifurcation diagrams only from time-waveform, R. Tokunaga et al; Hamiltonian chaos studied with a symplectic integrator in the toroidal helical magnetic field, T. Hatori and G. Gnudi; on a variety of collective dynamics in globally coupled oscillators, Y. Kuramoto and N. Nakagawa. (Part Contents).
