Numerical methods for bifurcation analysis in geomechanics

International Journal for Numerical and Analytical Methods in Geomechanics

A framework alternative to that of classical slope stability analysis is developed, wherein the soil mass is treated as a continuum and in-situ soil stresses and strengths are computed accurately using inelastic "nite element methods with general constitutive models. Within this framework, two alternative methods of stability analysis are presented. In the "rst, the strength characteristics of ...

Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps

We discuss new and improved algorithms for the bifurcation analysis of fixed points and periodic orbits (cycles) of maps and their implementation in matcont, a matlab toolbox for continuation and bifurcation analysis of dynamical systems. This includes the numerical continuation of fixed points of iterates of the map with one control parameter, detecting and locating their bifurcation points (i...

Cavity Expansion Methods in Geomechanics

Numerical Analysis for Nonlinear and Bifurcation Problems

PREFACE Computational applications generally involve nonlinear problems and often contain parameters. They may represent properties of the physical system they describe or quantities which can be varied. A basic problem in approximation consists in studying existence and convergence of approximated solutions for a given nonlinear problem, for instance when the parameters are xed. Another proble...

Numerical Bifurcation For

A case study for homoclinic chaos in an autonomous electronic circuit: A trip from Takens-Bogdanov to Hopf-Shilnikov.