書誌事項

Nonlinear science : the next decade

edited by David K. Campbell, Robert E. Ecke, James M. Hyman

(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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