252 citations · 2.2k across the 98 of their papers we have counts for
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Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities
H. Sakaguchi, B. Malomed
We introduce a model of a two-core system, based on an equation of the Ginzburg-Landau (GL) type, coupled to another GL equation, which may be linear or nonlinear. One core is acti…
Self-organization of hierarchical structures in nonlocally coupled replicator models
Hidetsugu Sakaguchi
We study a simple replicator model with non-symmetric and nonlocal interactions. Hierarchical structures with prey-predator relations are self-organized from a homogeneous state, i…
Elimination of spiral chaos by periodic force for the Aliev-Panfilov model
Hidetsugu Sakaguchi, Takefumi Fujimoto
Spiral chaos appears in the two dimensional Aliev-Panfilov model. The generation mechanism of the spiral chaos is related to the breathing instability of pulse trains. The spiral c…
Solitary pulses and periodic waves in the parametrically driven complex Ginzburg-Landau equation
Hidetsugu Sakaguchi, Boris Malomed
A one-dimensional model of a dispersive medium with intrinsic loss, compensated by a parametric drive, is proposed. It is a combination of the well-known parametrically driven nonl…