112 citations · 201 across the 10 of their papers we have counts for
13 papers
WaveGSSM: Graph Wave State Space Models for Propagating Spatio-Temporal Patterns
Junyou Zhu, Fenying Cai, Ping Xiong +5
Spatio-temporal graph models typically encode each snapshot with a GNN and then connect the resulting representations through a temporal module. This space-then-time design is effe…
Stability-Shaped Deep Graph Learning
Junyou Zhu, Langzhou He, Fenying Cai +7
In deep graph neural networks, increasing depth enlarges the receptive field but often leads to over-smoothing, where node representations tend to align. We develop a unified, mode…
Nodal Braess's Paradox and Inertia Destabilization with Dynamic Node and Line Failures in Power Grids
Nubius Brandner, Frank Hellmann, Hans Würfel +3
Large-scale power outages are typically caused by cascading failures. These unfold dynamically through complex interactions between network dynamics and individual component failur…
Canard cascading in networks with adaptive mean-field coupling
Juan Balzer, Rico Berner, Kathy Lüdge +3
Canard cascading (CC) is observed in dynamical networks with global adaptive coupling. It is a fast-slow phenomenon characterized by a recurrent sequence of fast transitions betwee…
Dynamical robustness of network of oscillators
Soumen Majhi, Biswambhar Rakshit, Amit Sharma +2
Most complex systems are nonlinear, relying on emergent behavior from interacting subsystems, often characterized by oscillatory dynamics. Collective oscillatory behavior is essent…
Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning
Christian Nauck, Michael Lindner, Nora Molkenthin +4
A central question of network science is how functional properties of systems emerge from their structure. For networked dynamical systems, structure is typically captured through…
Impact of Network Topology on the Stability of DC Microgrids
Julian F. Wienand, David Eidmann, Julian Kremers +3
We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's cir…
Network-induced multistability: Lossy coupling and exotic solitary states
Frank Hellmann, Paul Schultz, Patrycja Jaros +4
The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids.…
The Contribution of Different Electric Vehicle Control Strategies to Dynamical Grid Stability
Sabine Auer, Casper Roos, Jobst Heitzig +2
A major challenge for power grids with a high share of renewable energy systems (RES), such as island grids, is to provide frequency stability in the face of renewable fluctuations…
From lakes and glades to viability algorithms: Automatic classification of system states according to the Topology of Sustainable Management
Tim Kittel, Finn Müller-Hansen, Rebekka Koch +4
The framework Topology of Sustainable Management by Heitzig et al. (2016) distinguishes qualitatively different regions in state space of dynamical models representing manageable s…
A Network of Networks Approach to Interconnected Power Grids
Paul Schultz, Frank Hellmann, Jobst Heitzig +1
We present two different approaches to model power grids as interconnected networks of networks. Both models are derived from a model for spatially embedded mono-layer networks and…
Deciphering the imprint of topology on nonlinear dynamical network stability
Jan Nitzbon, Paul Schultz, Jobst Heitzig +2
Coupled oscillator networks show a complex interrelations between topological characteristics of the network and the nonlinear stability of single nodes with respect to large but r…
Taming Instabilities in Power Grid Networks by Decentralized Control
Benjamin Schäfer, Carsten Grabow, Sabine Auer +3
Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major de…