782 citations · 4.1k across the 31 of their papers we have counts for
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Dynamics on Complex Networks and Applications
Adilson E. Motter, Manuel A. Matias, Juergen Kurths +1
At the eight-year anniversary of Watts & Strogatz's work on the collective dynamics of small-world networks and seven years after Barabasi & Albert's discovery of scale-free networ…
Maximum Performance at Minimum Cost in Network Synchronization
Takashi Nishikawa, Adilson E. Motter
We consider two optimization problems on synchronization of oscillator networks: maximization of synchronizability and minimization of synchronization cost. We first develop an ext…
Stochastic Model for Power Grid Dynamics
Marian Anghel, Kenneth A. Werley, Adilson E. Motter
We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random remo…
Synchronization is optimal in non-diagonalizable networks
Takashi Nishikawa, Adilson E. Motter
We consider the problem of maximizing the synchronizability of oscillator networks by assigning weights and directions to the links of a given interaction topology. We first extend…
Universality in the synchronization of weighted random networks
Changsong Zhou, Adilson E. Motter, Jurgen Kurths
Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in…
Stickiness in Hamiltonian systems: from sharply divided to hierarchical phase space
Eduardo G. Altmann, Adilson E. Motter, Holger Kantz
We investigate the dynamics of chaotic trajectories in simple yet physically important Hamiltonian systems with non-hierarchical borders between regular and chaotic regions with po…