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» Bifurcation Analysis of Large Equilibrium Systems in Matlab
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ICCS
2005
Springer
14 years 2 months ago
Bifurcation Analysis of Large Equilibrium Systems in Matlab
The Continuation of Invariant Subspaces (CIS) algorithm produces a smoothly varying basis for an invariant subspace R(s) of a parameter-dependent matrix A(s). In the case when A(s)...
David Bindel, James Demmel, Mark J. Friedman, Will...
IJBC
2007
137views more  IJBC 2007»
13 years 9 months ago
Patterns of oscillation in a Ring of Identical Cells with Delayed Coupling
We investigate the behaviour of a neural network model consisting of three neurons with delayed self and nearest-neighbour connections. We give analytical results on the existence...
Sharene D. Bungay, Sue Ann Campbell
CCE
2007
13 years 9 months ago
Reliable computation of equilibrium states and bifurcations in ecological systems analysis
A problem of frequent interest in analyzing nonlinear ODE models of ecological systems is the location of equilibrium states and bifurcations. Interval-Newton techniques are explo...
C. Ryan Gwaltney, Mark A. Stadtherr
IJBC
2008
81views more  IJBC 2008»
13 years 9 months ago
On the Location and Continuation of Hopf bifurcations in Large-Scale Problems
CL_MATCONT is a MATLAB package for the study of dynamical systems and their bifurcations. It uses a minimally augmented system for continuation of the Hopf curve. The Continuation...
M. Friedman, W. Qiu
INFOCOM
2002
IEEE
14 years 2 months ago
Nonlinear Instabilities in TCP-RED
Abstract—This work develops a discrete-time dynamical feedback system model for a simplified TCP network with RED control and provides a nonlinear analysis that can help in unde...
Eyad H. Abed, Priya Ranjan