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19932022
most citedThe complex network of global cargo ship movements

982 citations

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12 papers · 1 filter

nlin.CD2018★ 4 cited

Weak-winner phase synchronization: A curious case of weak interactions

Anshul Choudhary, Arindam Saha, Samuel Krueger +4

We report the observation of a novel and non-trivial synchronization state in a system consisting of three oscillators coupled in a linear chain. For certain ranges of coupling str…

nlin.CD2018★ 17 cited

The Boundaries of Synchronization in Oscillators Networks

Everton S Medeiros, Rene O. Medrano-T, Iberê L Caldas +1

We analyze the final state sensitivity of nonlocal networks with respect to initial conditions of their units. By changing the initial conditions of a single network unit, we pertu…

nlin.CD2018★ 5 cited

Complexity and irreducibility of dynamics on networks of networks

Leonardo Rydin Gorjão, Arindam Saha, Gerrit Ansmann +2

We study numerically the dynamics of a network of all-to-all-coupled, identical sub-networks consisting of diffusively coupled, non-identical FitzHugh--Nagumo oscillators. For a la…

nlin.CD2017★ 56 cited

Riddled Basins of Attraction in Systems Exhibiting Extreme Events

Arindam Saha, Ulrike Feudel

Using a system of two FitzHugh-Nagumo units, we demonstrate the occurrence of riddled basins of attraction in delay-coupled systems as the coupling between the units is increased.…

nlin.CD2017★ 14 cited

Recovery time after localized perturbations in complex dynamical networks

Chiranjit Mitra, Tim Kittel, Anshul Choudhary +2

Maintaining the synchronous motion of dynamical systems interacting on complex networks is often critical to their functionality. However, real-world networked dynamical systems op…

nlin.CD2017★ 89 cited

Extreme events in Fitzhugh-Nagumo oscillators coupled with two time delays

Arindam Saha, Ulrike Feudel

We study two identical FitzHugh-Nagumo oscillators which are coupled with one or two different time delays. If only a single delay coupling is used, the length of the delay determi…

nlin.CD2013★ 121 cited

Extreme events in excitable systems and mechanisms of their generation

Gerrit Ansmann, Rajat Karnatak, Klaus Lehnertz +1

We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular d…

nlin.CD2013★ 39 cited

Generalized synchronization in relay systems with instantaneous coupling

Ricardo Gutierrez, Ricardo Sevilla-Escoboza, Pablo Piedrahita +7

We demonstrate the existence of generalized synchronization in systems that act as mediators between two dynamical units that, in turn, show complete synchronization with each othe…

nlin.CD2013★ 4 cited

Different types of critical behavior in conservatively coupled Hénon maps

D. V. Savin, A. P. Kuznetsov, A. V. Savin +1

We study the dynamics of two conservatively coupled Hénon maps at different levels of dissipation. It is shown that the decrease of dissipation leads to changes in the parameter pl…

nlin.CD2008★ 54 cited

Plankton blooms in vortices: The role of biological and hydrodynamic time scales

M. Sandulescu, C. Lopez, E. Hernandez-Garcia +1

We study the interplay of hydrodynamic mesoscale structures and the growth of plankton in the wake of an island, and its interaction with a coastal upwelling. Our focus is on a mec…

nlin.CD2003★ 30 cited

Enhancement of Noise-induced Escape through the Existence of a Chaotic Saddle

Suso Kraut, Ulrike Feudel

We study the noise-induced escape process in a prototype dissipative nonequilibrium system, the Ikeda map. In the presence of a chaotic saddle embedded in the basin of attraction o…

nlin.CD2000★ 33 cited

Multistability and nonsmooth bifurcations in the quasiperiodically forced circle map

Hinke Osinga, Jan Wiersig, Paul Glendinning +1

It is well-known that the dynamics of the Arnold circle map is phase-locked in regions of the parameter space called Arnold tongues. If the map is invertible, the only possible dyn…