586 citations · 1.7k across the 28 of their papers we have counts for
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Stratified spatiotemporal chaos in anisotropic reaction-diffusion systems
Markus Baer, Aric Hagberg, Ehud Meron +1
Numerical simulations of two dimensional pattern formation in an anisotropic bistable reaction-diffusion medium reveal a new dynamical state, stratified spatiotemporal chaos, chara…
A Phase Front Instability in Periodically Forced Oscillatory Systems
Christian Elphick, Aric Hagberg, Ehud Meron
Multiplicity of phase states within frequency locked bands in periodically forced oscillatory systems may give rise to front structures separating states with different phases. A n…
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…