27 citations · 31 across the 3 of their papers we have counts for
3 papers
nlin.CD2012
Topological origins of a bi-parameter periodicity hub for the Rössler attractor
Timothy D. Jones
We explore the dynamical and topological characteristics of the Rössler system that lead to the existence of a periodicity hub and nested spiral in codimension-2 parameter space. W…
nlin.CD2010★ 27 cited
Connecting curves for dynamical systems
R. Gilmore, Jean-Marc Ginoux, Timothy Jones +2
We introduce one dimensional sets to help describe and constrain the integral curves of an dimensional dynamical system. These curves provide more information about the system…
nlin.CD2007★ 4 cited
Peeling Bifurcations of Toroidal Chaotic Attractors
Christophe Letellier, Robert Gilmore, Timothy Jones
Chaotic attractors with toroidal topology (van der Pol attractor) have counterparts with symmetry that exhibit unfamiliar phenomena. We investigate double covers of toroidal attrac…