189 citations · 201 across the 3 of their papers we have counts for
3 papers
Suppressing escape events in maps of the unit interval with demographic noise
César Parra-Rojas, Joseph D. Challenger, Duccio Fanelli +1
We explore the properties of discrete-time stochastic processes with a bounded state space, whose deterministic limit is given by a map of the unit interval. We find that, in the m…
Intrinsic noise and two-dimensional maps: Quasicycles, quasiperiodicity, and chaos
César Parra-Rojas, Joseph D. Challenger, Duccio Fanelli +1
We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting…
Topology-driven instabilities: the theory of pattern formation on directed networks
Malbor Asllani, Joseph D. Challenger, Francesco Saverio Pavone +2
The theory of pattern formation in reaction-diffusion systems is extended to the case of a directed network. Due to the structure of the network Laplacian of the scrutinised system…