Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling

摘要: We explore the emergence of a variety different spatiotemporal patterns in 2D lattice self-sustained oscillators, which interact nonlocally through an active nonlinear element. A basic element is van der Pol oscillator regime relaxation oscillations. The coupling can be implemented by radiophysical with negative resistance its current–voltage curve taking into account characteristics (for example, tunnel diode). show that such consists two parts, namely, repulsive linear term and attractive term. This interaction leads to only standing waves periodic dynamics time absence any propagating wave processes. At same time, many occur when parameters are varied, regular complex cluster structures, as chimera states. effect associated appearance new states individual oscillators part coupling, while attenuates this effect. also influence nonlinearity on dynamics.