## World Congress of Nonlinear Analysts '92: Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, August 19-26, 1992, Volume 1One thousand scientists braved Hurricane Andrew to attend the August 1992 conference featuring over 700 presentation bound in this four volume set. The World Congress is noted for its scope and the proceedings reflect a truly inclusive variety of subject matter that includes partial differential equations, problems in physics, fluid mechanics, structural mechanics, marine science, and in ordinary differential equations and dynamic systems. Of course, computer topics such as neural networks and computer vision are explored in detail without sacrificing room for theory: nonlinear operators, control, evolution, economics, chaos, and electronics. The final volume is dedicated to biomathematics and ecology, bursting rhythms and biomedicine. No index. Annotation copyright by Book News, Inc., Portland, OR |

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### Contents

A simple ODE with more than 20 strange attractors | 3043 |

Applications of generalized functions to propagating and deforming interfaces | 3055 |

R P Kanwal | 3068 |

Dynamics of neuromuscular control with delayed displacementdependent feedback | 3085 |

Oscillations and chaos in nonlinear delay differential equations with applications | 3095 |

Modelling vectorhost disease transmission and food web dynamics through | 3175 |

Variability infectivity in communicable disease models | 3201 |

A pair formation approach to modeling inheritance of social traits | 3227 |

N Reddy and S Raman | 3546 |

Review of recent advances in the development of semiLagrangian numerical | 3559 |

A review of nonhydrostatic numerical models for the atmosphere | 3595 |

The stagnant flow upstream of hills or mountains | 3611 |

Nonlinear analysis of stability oscillations and control of immunological processes | 3633 |

Polynomial networks for optimal nonlinear filtering | 3655 |

Analysis of the computational characteristics of adaptive resonance theory | 3669 |

J T H Lo and L Yu | 3682 |

Nonlinear control and selforganization | 3245 |

The theory of the control of metabolism | 3267 |

Selection of enzymatic mechanisms which account for simplicity in the evolution | 3291 |

The regulatory | 3305 |

H G Holzhutter C Schewe and T Schewe | 3322 |

Ssystem analysis of the TCA cycle in Dictyostelium discoideum | 3335 |

Parameter | 3357 |

Simple dynamical systems for bursting and spindling | 3381 |

On the clonal inheritance model of cell proliferation | 3401 |

A model for retrieving the dynamics of gene amplification from episomes | 3419 |

New mathematical methods for evaluating toxicity of anticancer drugs and | 3433 |

Simulation of druginhibited cell proliferation with a model of clonal | 3455 |

A review of the effect of radiation transfer on the simulation of atmospheric | 3475 |

Effects of thermal forcing in atmospheric shear flows with critical level | 3491 |

Baroclinicbarotropic instabilities and energy transfers in the Gulf Stream | 3515 |

Turbulence structure in the atmospheric boundary layerdata and models | 3533 |

Stability analysis of neural networks using vector Lyapunov functions | 3695 |

Neural network approach to optimal filtering | 3705 |

F A Unal and N Tepedelenlioglu | 3718 |

The effects of asymmetric competition on competitive outcome | 3733 |

Global variables and population dynamics preypredator models with | 3753 |

GinzburgLandau type models for superconductivity | 3779 |

Computation of singular solutions in the micromagnetics of thin films | 3823 |

Nonlinearities in driftdiffusion semiconductor modeling | 3847 |

Some classes of iterative methods for finding zeros of polynomials | 3859 |

E Fleury and P Fraigniaud | 3872 |

Divide and conquer techniques for the polynomial rootfinding problem | 3885 |

Y Atanassova and J P Herzberger | 3898 |

Toward an efficient and stable determination of spectra of a general matrix | 3913 |

Interfacial wave theory of dendritic growth and a comparison with experiments | 3929 |

3949 | |

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1991 Mathematics Subject algorithm analysis application approximation assume asymptotic asymptotic stability Atmos atmospheric behavior bifurcation Biol boundary conditions boundary layer Castillo-Chavez Chua's circuit cloud coefficients complex computation concentration considered constant convective convergence defined denote density derived described differential equations diffusion dynamics effect eigenvalues enzyme episome equilibrium estimate feedback Figure flow flux formula frequency function Ginzburg-Landau Ginzburg-Landau equations given gravity waves growth heating Hopf bifurcation infected initial input integration interactions iteration kinetic limit cycle linear Lyapunov functions Math mathematical model Mathematics Subject Classification matrix metabolic metabolite method mixing monomial neural neuron Newton's method non-hydrostatic nonlinear normal obtained oscillations parameters period perturbation phase plume polynomial population problem radiative reaction S-system scale sequence simulation solution specific stability steady-state structure superconductivity Theorem theory tion turbulent values variables vector velocity vertical wave wind zero