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

この図書・雑誌をさがす
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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