The index contains entries that refer to important concepts, scientists, equations or entities. For some very well known scientists there are cross-references to the ideas or equations associated with them.
Similarly, for some very often used equations, which are referred to by the names of the scientists associated with them, there are cross-references to the scientists. The page numbers refer to the page where a mention of the relevant entry is found. Italicized page numbers refer to pages with figures that are relevant to the entry. A “See also” entry gives an entry related to the original one, which could also be of interest, “see” entries direct the reader to another entry at which the information is given.
A
Ab initio calculations (see Molecular dynamics)
Abel integral, 469Abelian functions (see Hyperelliptic functions)
Abelian group, 902Abelian Higgs model, 450Abelian sandpile model, 821Abell, Niels Henrik, 258, 451Ablowitz-Kaup-Newell-Segur (AKNS) equations, 936Ablowitz-Kaup-Newell-Segur system, 1, 2Ablowitz-Ladik (AL) equation, 165, 166, 819, 820;See also Discrete nonlinear Schrödinger equations
Ablowtiz-Ladik (AL) DNLS equation, 214Ablowitz, Ramani, and Segur conjecture, 680Abrikosov vortices, 160Absolute field constant, 68Absolute instability, 993Absorption lines, profile fitting, 747Abstract attractor network models, 104AC-driven damped pendulum, equation for, 741AC Josephson effect, 177Acoustic solutions (see Nonlinear acoustics)
Acoustics, 663Acousto-electric coupling, 520Action, 277Action-angle coordinate system, 452Action-angle variables, 165, 392, 503, 795;See also Hamiltonian systems
Action angle variables and IST, 471Action barriers, 29Action functional, 640Action potential dynamics, 619Action potential generation in neurons, 618–619;See also Nerve impulses, 2Activator-inhibitor equations, 179Activator-inhibitor RD systems, 788Activator-inhibitor system (see Reaction-diffusion systems)
Adams, James C, 848Adams, John Couch, 103Adams-Bashforth-Moulton methods, 658Adenosine triphosphate (ATP) hydrolysis, 62–63Adiabatic approximations, 992 (see Davydov soliton)Adiabatic dynamics of kinks, 263Adiabatic evolution, 3Adiabatic invariants, 3–5, 34charged particle gyrating in a nonaxisymmetric magnetic mirror field, 34ergodic Hamiltonian systems, 5for Hamiltonian systems, 3Adiabatic learning hypothesis, 616Adiabatic theorem of quantum mechanics, 46Adler-Kostant-Symes (AKS) method, 458Advection-diffusion equation, 572Aerosol models, 40Affine Lie algebras, 935, 937AFM disclinations, 940Agassiz, Louis, 57AG synchrotron, 687phase-space transformations in, 687Airfoil flutter, 424Airy function, 774AKNS inverse scattering method, 565Alcohol jet, plume model for, 725Alder, B.J., 576Alexander, James W., 499Alferov, Zhores, 828Alfvén vortices, 6Alfvén’s theorem, 546Alfvén waves, 5–7, 178, 546, 641, 837in tokamaks, 7solar physics, 6types of, 6Algebraic Bethe ansatz method, 48, 755Algebraic invariants, 500Algebraic soliton, 856Algorithmic complexity, 7–9Allee effect, 739Allee, W.C., 739All-or-nothing response (see Nerve impulses)
Almost periodic functions (see Quasiperiodic functions)
Alternate gradient (AG) synchrotron, 686Ambiguous figures (see Cell assemblies)
Ammann, Othmar, 918Amphiphiles, 518Amplitude equation, 113, 114, 547, 653, 693, 968, 995Amplitude dependent dispersion relations, 222Amplitude modulation, 574Anderson localization, 9–11, 216, 496, 991Anderson, Carl, 562Anderson, Philip, 9, 345, 408Adiabatic invariants, hierarchy of, 34Andreas, Class, 310Andronov, Alexander A., 422, 760Angle of precession, 811Angle of repose, 32, 33, 239, 381, 821Angle of self rotation, 811Angular momentum, transport of, 835Anharmonic oscillation, 755Anharmonic oscillator, 269, 395Annihilation (kink-antikink) (see Sine-Gordon equation)
Annihilation operator, 814, 820ANNNI model, mean-field phase diagram, 153Anomalous dispersion, 641Anomalous scaling, 953Anosov and Axiom A systems, 11–13, 426pseuso-orbits and real orbits, 12strong transversality, 12structural stability, 12Anosov diffeomorphism, 11, 550Anosov maps, 11stable and unstable foliations, 11Anosov system, 96, 716, 839Antigen-antibody binding, 53Antiparticle, 688
