… Some basic steps while performing bifurcation analysis will be outlined and software
implementations of continuation and bifurcation algorithms discussed. First a few standard and …

… and their bifurcations, as well as the normal form analysis of many bifurcations of equilibria
and … Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM …

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time
dynamical systems with concrete instruction on implementations (and example applications…

… discuss numerical methods for the computation and continuation of equilibria and bifurcation
… boundary value problem, their continuation and bifurcations. Homoclinic orbits can also be …

… bifurcation analysis is possible only for exceptional cases. This book is devoted to numerical
analysis of bifurcation … The aim is to pursue a systematic investigation of generic bifurcations …

… We describe DDE-BIFTOOL, a Matlab package for numerical bifurcation analysis of systems
of delay differential equations with several fixed, discrete delays. The package implements …

We consider generic parameterized autonomous ODEs of the form dx/dt ≡ ẋ = f(x, α), where
x ∈ ℝ n is the vector of state variables, α ∈ ℝ m represents parameters, and f(x, α) ∈ ℝ n . …

… First, we describe numerical methods for continuation and bifurcation analysis of steady
state solutions and periodic solutions of systems of delay differential equations with an arbitrary …

… We provide an overview of current techniques and typical applications of numerical bifurcation
analysis in fluid dynamical problems. Many of these problems are characterized by high-…

… Numerical methods for time integration of (1) are indicated by CTH Baker [26]. Here, we
outline numerical methods for the bifurcation analysis of steady-state solutions and periodic …