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Nonlinear science : the next decade

Author: David K Campbell; James M Hyman; Robert E Ecke
Publisher: Cambridge, Mass. : MIT Press, 1992.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats

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  Read more...


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Material Type: Conference publication
Document Type: Book
All Authors / Contributors: David K Campbell; James M Hyman; Robert E Ecke
ISBN: 0262531097 9780262531092
OCLC Number: 224440383
Notes: Reprint of Physics D, v.51, nos. 1-3, 1991.
Description: 611 pages
Contents: 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)
Other Titles: Physics D, v.51, nos. 1-3, 1991.
Responsibility: edited by David K. Campbell, Robert E. Ecke, James M. Hyman.


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