'Life after death'in ordinary differential equations with a non-Lipschitz singularity
TD Drivas, AA Mailybaev - Nonlinearity, 2021 - iopscience.iop.org
We consider a class of ordinary differential equations featuring a non-Lipschitz singularity at
the origin. Solutions exist globally and are unique up until the first time they hit the origin …
the origin. Solutions exist globally and are unique up until the first time they hit the origin …
On the C 8/3-regularisation of simultaneous binary collisions in the planar four-body problem
The dynamics of the four-body problem allows for two binary collisions to occur
simultaneously. It is known that in the collinear four-body problem this simultaneous binary …
simultaneously. It is known that in the collinear four-body problem this simultaneous binary …
Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions
N Duignan - Qualitative Theory of Dynamical Systems, 2021 - Springer
This paper contains theory on two related topics relevant to manifolds of normally hyperbolic
singularities. First, theorems on the formal and C^ k C k normal forms for these objects are …
singularities. First, theorems on the formal and C^ k C k normal forms for these objects are …
[HTML][HTML] On the C8/3-regularisation of simultaneous binary collisions in the collinear 4-body problem
A conjecture on the nature of the simultaneous binary collision is explored in the collinear 4-
body problem. It is known that any attempt to remove the singularity via block regularisation …
body problem. It is known that any attempt to remove the singularity via block regularisation …