in laser systems with optical feedback are still to be understood [@Pieroux2003]. The situation is even more complicated when several systems are interacting with non-identical delays. In this case, somewhat more is known about some specific coupling configurations, e.g. ring [@Popovych2011; @Yanchuk2011; @Choe2014; @Bungay2007], and less on more complex coupling schemes [@Izhikevich2006; @Luecken2013b; @DHuys2013; @Dahms2012; @Cakan2014]. Recently, it has been shown that a ring of delay coupled systems possesses a rich variety of stable spatiotemporal patterns [@Popovych2011; @Yanchuk2011]. For the neuronal models in particular, this implies the existence of a variety of spiking patterns induced by the delayed synaptic connections.

Here we present a system with time delayed couplings, which is capable of producing a variety of stable two-dimensional spatio-temporal patterns. More specifically, we show that a 2D regular set of dynamical systems $\mathbf{u}_{m,n}(t)$ (neuronal models can be used) may exhibit a stable periodic behavior (periodic spiking) such that the oscillator $\mathbf{u}_{m,n}(t)$ reaches its maximum (spikes) at a time $\eta_{m,n}$, which can be practically arbitrary chosen within the period. For this, time delays should be selected accordingly to some given simple rule. As particular cases, the synchronous, cluster, or splay states can be realized.

Our work is a generalization of 