32 citations · 33 across the 2 of their papers we have counts for
3 papers
math.OC2014
Transverse Contraction Criteria for Stability of Nonlinear Hybrid Limit Cycles
Justin Z. Tang, Ian R. Manchester
In this paper, we derive differential conditions guaranteeing the orbital stability of nonlinear hybrid limit cycles. These conditions are represented as a series of pointwise line…
math-ph2012★ 1 cited
Dynamics of shock induced ignition in Fickett's model with chain-branching kinetics: influence of
Justin Tang, Matei I. Radulescu
The problem of shock induced ignition by a piston is addressed in the framework of Fickett's model for reactive compressible flows, i.e., the reactive form of Burgers' equation. An…
physics.flu-dyn2011★ 32 cited
Nonlinear dynamics of self-sustained supersonic reaction waves: Fickett's detonation analogue
Matei I. Radulescu, Justin Tang
The present study investigates the spatio-temporal variability in the dynamics of self-sustained supersonic reaction waves propagating through an excitable medium. The model is an…