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We study the dynamics of fronts in parametrically forced oscillating lattices. Using as a prototypical example the discrete Ginzburg-Landau equation, we show that much information about front bifurcations can be extracted by projecting onto a cylindrical phase space. Starting from a normal form that describes the nonequilibrium Ising-Bloch bifurcation in… (More)

- Ernest Montbrió, Diego Pazó, Jürgen Schmidt
- Physical review. E, Statistical, nonlinear, and…
- 2006

We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular, we… (More)

- Y Zou, D Pazó, M C Romano, M Thiel, J Kurths
- Physical review. E, Statistical, nonlinear, and…
- 2007

We propose a procedure to distinguish quasiperiodic from chaotic orbits in short-time series, which is based on the recurrence properties in phase space. The histogram of the return times in a recurrence plot is introduced to disclose the recurrence property consisting of only three peaks imposed by Slater's theorem. Noise effects on the statistics are… (More)

- Diego Pazó, Michael A Zaks, Jürgen Kurths
- Chaos
- 2003

An increase of the coupling strength in the system of two coupled Rössler oscillators leads from a nonsynchronized state through phase synchronization to the regime of lag synchronization. The role of unstable periodic orbits in these transitions is investigated. Changes in the structure of attracting sets are discussed. We demonstrate that the onset of… (More)

- Diego Pazó, Ernest Montbrió
- Physical review. E, Statistical, nonlinear, and…
- 2009

We investigate the transition to synchronization in the Kuramoto model with bimodal distributions of the natural frequencies. Previous studies have concluded that the model exhibits a hysteretic phase transition if the bimodal distribution is close to a unimodal one due to the shallowness of the central dip. Here we show that proximity to the… (More)

- Diego Pazó, Ivan G Szendro, Juan M López, Miguel A Rodríguez
- Physical review. E, Statistical, nonlinear, and…
- 2008

We study Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in systems with spatiotemporal chaos. We focus on characteristic LVs and compare the results with backward LVs obtained via successive Gram-Schmidt orthonormalizations. Systems of a very different nature such as coupled-map lattices and the (continuous-time) Lorenz '96 model… (More)

- Ernest Montbrió, Diego Pazó
- Physical review letters
- 2011

Large ensembles of heterogeneous oscillators often exhibit collective synchronization as a result of mutual interactions. If the oscillators have distributed natural frequencies and common shear (or nonisochronicity), the transition from incoherence to collective synchronization is known to occur at large enough values of the coupling strength. However,… (More)

- Diego Pazó, Ernest Montbrió
- Physical review. E, Statistical, nonlinear, and…
- 2006

We study the robustness of self-sustained oscillatory activity in a globally coupled ensemble of excitable and oscillatory units. The critical balance to achieve collective self-sustained oscillations is analytically established. We also report a universal scaling function for the ensemble's mean frequency. Our results extend the framework of the "aging… (More)

- Diego Pazó, Inés P. Mariño, V. Pérez-Villar, Vicente Pérez-Muñuzuri
- I. J. Bifurcation and Chaos
- 2000

Phase synchronization is shown to occur between opposite cells of a ring consisting of chaotic Lorenz oscillators coupled unidirectionally through driving. As the coupling strength is diminished, full phase synchronization cannot be achieved due to random generation of phase jumps. The brownian dynamics underlying this process is studied in terms of a… (More)

- Sarah Hallerberg, Diego Pazó, Juan M López, Miguel A Rodríguez
- Physical review. E, Statistical, nonlinear, and…
- 2010

Bred vectors are a type of finite perturbation used in prediction studies of atmospheric models that exhibit spatially extended chaos. We study the structure, spatial correlations, and the growth rates of logarithmic bred vectors (which are constructed by using a given norm). We find that, after a suitable transformation, logarithmic bred vectors are… (More)