Nonlinear science : the next decade
著者
書誌事項
Nonlinear science : the next decade
(Bradford book)
MIT Press, 1992
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注記
1st MIT Press ed.
The Tenth Annual International Conference of the Los Alamos National Laboratory Center for Nonlinear Studies was held May 21-25, 1990
"Reprinted from Physica D, volume 51, numbers 1-3, 1991"--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
These 50 contributions provide a retrospective on research in nonlinear science over the past decade and maps out future directions. They are organized around deterministic chaos and nonlinear dynamics; solutions and coherent structures; and patterns and turbulence.
目次
- Part 1 Deterministic chaos and nonlinear dynamics: classification of all cycles of the parabolic map, R.L. Bivins et al
- analytical conditions for strange chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation, J. Brindley et al
- monotonicity of auto-expansions, K.M. Brucks and B. Diamond
- quantum and classical integrability - new approaches in statistical mechanics, R. Bullough et al
- state-space reconstruction in the presence of noise, M. Casdagli et al
- general resonance spectroscopy, K. Chang et al
- an asyptotic symmetry of the rapidly forced pendulum, Y.-H. Chang and H. Segur
- on a coupled map lattice formulation of the evolution of genetic sequences, G. Cocho and G. Martinez-Mekler
- nonlinear dynamics of sliding charge density waves, S.N. Coppersmith
- periodic orbits as the skeleton of classical and quantum chaos, P. Cvitanovic
- nonlinear oscillations in chemical and biological systems, I.R. Epstein
- symbolic dynamics and characterization of complexity, B.-l. Hao
- homoclinic chaos for ray optics in a fiber, D. Holm and G. Kovacic
- Lie-Poisson description of Hamiltonian ray optics, D. Holm and K.B. Wolf
- chaotic properties in quantum scattering, H.R. Jauslin
- lobe areas in adiabatic Hamiltonian systems, T.J. Kaper and S. Wiggins
- basins of Wada, J. Kennedy and J.A. Yorke
- lobe area via action formalism in a class of Hamiltonian systems, G. Kovacic
- nonlinear dynamics and stability of analog neural networks, C.M. Marcus et al
- transport in two-dimensional maps - concepts, examples and a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of Meiss, Ott and Percival, V. Rom-Kedar and S. Wiggins
- dynamics retrospective - great problems, attempts that failed, S. Smale
- some common dynamic features of coupled reacting systems, M.A. Taylor and I.G. Kevrekidis. Part 2 Solitons and coherent structures: stability of some stationary solitons for the forced KdV equation, R. Camassa and T.Y.-t Wu
- polarization modulated solitary waves in an optical fiber, D. David and M.V. Tratnik
- proton transport by solitons, S. Pnevmatikos et al
- Davydov's soliton revisited, A.C. Scott
- who cares about integrability?, H. Segur
- period doubling solitons - yes or no?, T.P. Valkering and Th. Zeegers
- old and new link polynomials from the theory of exactly solvable models, M. Wadati and T. Deguchi
- soliton phenomena in unstable media, M. Wadati et al
- two-sublattice kink dynamics and ionic defects in hydrogen-bonded chains, A.V. Zolotaryuk et al. Part 3 Patterns and turbulence: experiments with pattern-forming systems, G. Ahlers
- travelling wave convection patterns in an annular cell, K.E. Anderson and R.P. Behringer. (Part contents)
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