Titlebook: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems; Eusebius Doedel,Laurette S. Tuckerman Conference proceedings

Glucose

Using Dynamical System Tools in Matlab,oration of phase portraits, initial value problems, boundary value problems and bifurcation analysis. Although these packages provide substantial information about the dynamical systems, they do not inter-operate with one another easily. Each package has its own data type, model declaration, input/o

Recessive

Iniquitous

Inclination-Flips in the Unfolding of a Singular Heteroclinic Cycle,ddlenode, the linearized vector field has two complex conjugate eigenvalues in addition to an eigenvalue 0. This implies the existence of a cascade of inclination-flip homoclinic bifurcations to the heteroclinic bifurcation.

FACT

Investigating Torus Bifurcations in the Forced Van Der Pol Oscillator,As an example we investigate the most complicated sequence of bifurcations in the forced Van der Pol oscillator as the amplitude of the forcing is increased. This bifurcation sequence has recently been used to test algorithms for the computation of invariant tori.

Ossification

Outmoded

Self-Organized Criticality: Analysis and Simulation of a 1D Sandpile,cal sandpiles have been suggested. In this paper we analyze elementary properties of a slope-based one-dimensional model, for which one boundary is an abyss, the other is a wall. Our analysis is based on properties of the Markov matrix. Some numerical results for sand- piles with small lattice sizes

floaters

Computation and Bifurcation Analysis of Periodic Solutions of Large-Scale Systems,ng from the spatial discretization of partial differential equations. The Newton-Picard method is an efficient single-shooting based technique based on a Newton-like linearization which exploits the low-dimensional dynamics observed in many systems. The dominant, stability-determining Floquet multip

售穴

Multiple Equilibria and Stability of the North-Atlantic Wind-Driven Ocean Circulation,is growing that different mean circulation patterns in the North-Atlantic ocean are possible under the same forcing conditions. In this paper, the question of multiple equilibria is considered within an idealized finite element ocean model of the wind-driven ocean circulation in the North-Atlantic.

Free-Radical

fulcrum

Chaos in Traveling Waves of Lattice Systems of Unbounded Media,on-diffusion equations and the Kuramoto-Sivashinsky, Swift-Hohenberg and Ginzburg-Landau equations). Following Kaneko we view CMLs also as phenomenological models of the medium and present the dynamical systems approach to studying the global behavior of solutions of CMLs. In particular, we establis