232 citations · 930 across the 41 of their papers we have counts for
49 papers
Pattern Formation in Mesic Savannas
Denis D. Patterson, Simon A. Levin, A. Carla Staver +1
We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study…
Spatial Dynamics with Heterogeneity
Denis D. Patterson, Simon A. Levin, A. Carla Staver +1
Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling g…
Reliability and robustness of oscillations in some slow-fast chaotic systems
Jonathan Jaquette, Sonal Kedia, Evelyn Sander +1
A variety of nonlinear models of biological systems generate complex chaotic behaviors that contrast with biological homeostasis, the observation that many biological systems prove…
The Symmetry Basis of Pattern Formation in Reaction-Diffusion Networks
Ian Hunter, Michael M. Norton, Bolun Chen +4
In networks of nonlinear oscillators, symmetries place hard constraints on the system that can be exploited to predict universal dynamical features and steady-states, providing a r…
Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models
Jonathan Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul
Experimental characterization of neuronal dynamics involves recording both of spontaneous activity patterns and of responses to transient and sustained inputs. While much theoretic…
Is there sufficient evidence for criticality in cortical systems?
Alain Destexhe, Jonathan D. Touboul
Many studies have found evidence that the brain operates at a critical point, a processus known as self-organized criticality. A recent paper found remarkable scalings suggestive o…