212 citations · 1.5k across the 29 of their papers we have counts for
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Propagation Failure in Excitable Media
Aric Hagberg, Ehud Meron
We study a mechanism of pulse propagation failure in excitable media where stable traveling pulse solutions appear via a subcritical pitchfork bifurcation. The bifurcation plays a…
Kinematic Equations for Front Motion and Spiral-Wave Nucleation
Aric Hagberg, Ehud Meron
We present a new set of kinematic equations for front motion in bistable media. The equations extend earlier kinematic approaches by coupling the front curvature with the order par…
Order Parameter Equations for Front Transitions: Nonuniformly Curved Fronts
Aric Hagberg, Ehud Meron
Kinematic equations for the motion of slowly propagating, weakly curved fronts in bistable media are derived. The equations generalize earlier derivations where algebraic relations…
On the Origin of Traveling Pulses in Bistable Systems
C. Elphick, A. Hagberg, B. A. Malomed +1
The interaction between a pair of Bloch fronts forming a traveling domain in a bistable medium is studied. A parameter range beyond the nonequilibrium Ising-Bloch bifurcation is fo…
Order Parameter Equations for Front Transitions: Planar and Circular Fronts
Aric Hagberg, Ehud Meron, I. Rubinstein +1
Near a parity breaking front bifurcation, small perturbations may reverse the propagation direction of fronts. Often this results in nonsteady asymptotic motion such as breathing a…