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20172019
most citedConley index methods detecting bifurcations in a modified van der Pol oscillator appearing in heart action models

2 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.GT2019

Polynomial Invariants, Knot Homologies, and Higher Twist Numbers of Weaving Knots

Rama Mishra, Ross Staffeldt

We investigate several conjectures in geometric topology by assembling computer data obtained by studying weaving knots, a doubly infinite family of examples of hyperbolic…

math.DS2019★ 2 cited

Conley index methods detecting bifurcations in a modified van der Pol oscillator appearing in heart action models

Ibrahim Jawarneh, Ross Staffeldt

In this paper, a modified van der Pol oscillator equation is considered which appears in several heart action models. We study its global dynamics and verify many interesting bifur…

math.DS2018

A Nutrient-Prey-Predator Model: Stability and Bifurcations

Mary Ballyk, Ibrahim Jawarneh, Ross Staffeldt

In this paper we consider a model of a nutrient-prey-predator system in a chemostat with general functional responses, using the input concentration of nutrient as the bifurcation…

math.AT2017

Segal operations in the algebraic -theory of topological spaces

Thomas Gunnarsson, Ross Staffeldt

We extend earlier work of Waldhausen which defines operations on the algebraic -theory of the one-point space. For a connected simplicial abelian group and symmetric groups…

math.GT2017

The Jones Polynomial and Khovanov Homology of Weaving Knots

Rama Mishra, Ross Staffeldt

In this paper we compute the signature for a family of knots , the weaving knots of type . By work of E.~S.~Lee the signature calculation implies a vanishing theorem…