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Numerical Resolution near t = 0 of NonlinearEvolution Equations in the Presence of Corner Singularities in Space Dimension 1
Numerical Resolution Nonlinear Evolution Equations
2010/11/23
The incompatibilities between the initial and boundary data will cause singularities at the time-space corners, which in turn adversely affect the accuracy of the numerical schemes used to compute the...
Singularities of the susceptibility of an SRB measure in the presence of stable-unstable tangencies
SRB measure stable-unstable tangencies
2010/4/1
Let $\rho$ be an SRB (or "physical"), measure for the discrete time evolution given by a map $f$, and let $\rho(A)$ denote the expectation value of a smooth function $A$. If $f$ depends on a parameter...
The Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables in the Presence of Parameters Symmetry
equivariant bifurcation problems versal unfolding ${\mathscr K}(\Gamma \Delta)$-equivalence
2007/12/11
The unfolding of equivariant bifurcation problems with two types of state variables under the action of group ${\mathscr K}(\Gamma,\Delta)$ is discussed by using DA-algebraic tools. One of the main re...