E Doedel, HB Keller, JP Kernevez - International journal of …, 1991 - World Scientific
A number of basic algorithms for the numerical analysis and control of bifurcation phenomena are described. The emphasis is on algorithms based on pseudoarclength …
These lectures introduce the modern theory of continuation or path following in scientific computing. Almost all problem in science and technology contain parameters. Families or …
For an equation H(y,t)=0, where H:D⊂R^n+1→R^n, let p:J⊂R^1→R^n be a primary solution on which a simple bifurcation point p^*=p(t^*) with rank H_y=(p^*,t^*)=n-1 has been …
Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability Analysis was published. During that time period the? eld of computational bifurcation has …
G Moore - Numerical Functional Analysis and Optimization, 1980 - Taylor & Francis
We present an analysis of the stability of bifurcation problems based on the classical Liapunov-Schmidt theory, A well-posed formulation of the problem is derived and numerical …
This book was intended as an introduction to the topic of numerical continuation which would be accessible to a readership of widely varying mathematical backgrounds. Realizing …
This book describes numerical methods for the detection, computation, and continuation (following paths) of equilibria and bifurcation points of equilibria of dynamical systems. In the …
EJ Doedel - Congr. Numer, 1981 - cmvl.cs.concordia.ca
Here Л is a free parameter. Such systems arise in many areas, especially in the study of chemical reactions, in population dynamics and in mathematical biology. Generally one is …
This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably …