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1. Existence and stability of transition layers

   For a second order nonautonomous singularly perturbed ordinary differential equation with Neumann boundary conditions, the existence of single...

   Jack K. Hale, Kunimochi Sakamoto in Japan Journal of Applied Mathematics

   Article 01 October 1988

2. D

   M. Hazewinkel in Encyclopaedia of Mathematics

   Chapter 1989
   

3. Connecting orbits in scalar reaction diffusion equations

   We consider the flow of a one-dimensional reaction diffusion equation 1.1...

   P. Brunovský, B. Fiedler in Dynamics Reported

   Chapter 1988
   

4. Macroscopic cardiac source model and propagation waves in excitable media

   We develop a system coupling a non-linear parabolic equation with an elliptic one, suitable to describe the excitation process in the anisotropic...

   P. Colli Franzone, L. Guerri, S. Rovida in Biomathematics and Related Computational Problems

   Chapter 1988
   

5. MOSFET Modelling

   The Jet Propulsion Laboratory (JPL) has contracted with The Claremont Mathematics Clinic* over the past three years for project work on modelling...

   Ellis Cumberbatch in Proceedings of the Second European Symposium on Mathematics in Industry

   Chapter 1988
   

6. SLEP Method to the Stability of Singularly Perturbed Solutions with Multiple Internal Transition Layers in Reaction-Diffusion Systems

   Patterns with sharp transition layers appear in various fields such as patchiness and segregation in eco-systems [2], [9], travelling and standing...

   Yasumasa Nishiura, Hiroshi Fujii in Dynamics of Infinite Dimensional Systems

   Conference paper 1987
   

7. Nonlinear singular perturbation phenomena: Theory and application

   R. E. O'Malley Jr. in Acta Applicandae Mathematica

   Article 01 May 1986

8. Coupled Oscillators and Locomotion by Fish

   Fish of many species propel themselves through water by rhythmic undulations; fins are used for stabilization and change of direction, but not for...

   N. Kopell in Nonlinear Oscillations in Biology and Chemistry

   Conference paper 1986
   

9. Multi-dimensional reaction-convection-diffusion equations

   F. A. Howes in Ordinary and Partial Differential Equations

   Conference paper 1985
   

10. Coexistence-equilibria for competition-diffusion systems with a small diffusion rate

    In this paper, we study the coexistence problem of two competing species on one-dimensional habitat (0, 1), whose population densities are subject to...

    Masayuki Ito in Japan Journal of Applied Mathematics

    Article 01 December 1984

11. Introduction to the paper by V.F. Butuzov and A.B. Vasil’eva

    F. Verhulst in Asymptotic Analysis II —

    Conference paper 1983
    

12. Dynamical systems driven by small white noise: Asymptotic analysis and applications

    Z. Schuss, B. J. Matkowsky in Asymptotic Analysis II —

    Conference paper 1983
    

13. Singular perturbation methods in a one-dimensional free boundary problem

    The optimal cost function associated to a stop** time problem for a dynamical system perturbed by an additive noise term with small positive...

    H. J. K. Moet in Asymptotic Analysis

    Conference paper 1979
    

14. An Index and Other Useful Information

    in An Index and Other Useful Information

    Chapter 1975