Add to ORKGWe present and analyze the first example of a dynamical system that naturally exhibits attracting periodic orbits that are unstable. These unstable attractors occur in networks of pulse-coupled oscillators, and become prevalent with increasing network size for a wide range of parameters. They are enclosed by basins of attraction of other attractors but are remote from their own basin volume such that arbitrarily small noise leads to a switching among attractors
Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form ...
We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturb...
We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturb...
We present and analyze the first example of a dynamical system that naturally exhibits attracting pe...
We present and analyze the first example of a dynamical system that naturally exhibits attracting pe...
Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems vi...
Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems vi...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
For general networks of pulse-coupled oscillators, including regular, random, and more complex netwo...
For general networks of pulse-coupled oscillators, including regular, random, and more complex netwo...
For general networks of pulse-coupled oscillators, including regular, random, and more complex netwo...
Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form ...
Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form ...
We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturb...
We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturb...
We present and analyze the first example of a dynamical system that naturally exhibits attracting pe...
We present and analyze the first example of a dynamical system that naturally exhibits attracting pe...
Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems vi...
Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems vi...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
We consider arbitrarily large networks of pulse-coupled oscillators with non-zero delay where the co...
For general networks of pulse-coupled oscillators, including regular, random, and more complex netwo...
For general networks of pulse-coupled oscillators, including regular, random, and more complex netwo...
For general networks of pulse-coupled oscillators, including regular, random, and more complex netwo...
Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form ...
Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form ...
We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturb...
We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturb...