15 citations · 25 across the 6 of their papers we have counts for
6 papers
From Local Payoffs to Global Instabilities: A Spectral Cartography of Spatiotemporal Chaos in Canonical 2x2 Evolutionary Games
Ozgur Aydogmus
We develop a motif-based framework for spatiotemporal chaos in spatial evolutionary games and use it to map the dynamical phase diagram in the payoff plane. Using Boolean lineariza…
Deterministic Approximation of a Stochastic Imitation Dynamics with Memory
Ozgur Aydogmus, Yun Kang
We provide results of a deterministic approximation for non-Markovian stochastic processes modeling finite populations of individuals who recurrently play symmetric finite games an…
A Modified Multiple Shooting Algorithm for Parameter Estimation in ODEs Using Adjoint Sensitivity Analysis
Ozgur Aydogmus, Ali Hakan Tor
To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffe…
Discovering the effect of nonlocal payoff calculation on the stabilty of ESS: Spatial patterns of Hawk-Dove game in metapopulations
Ozgur Aydogmus
The classical idea of evolutionarily stable strategy (ESS) modeling animal behavior does not involve any spatial dependence. We considered a spatial Hawk-Dove game played by animal…
Phase Transitions in a Logistic Metapopulation Model with Nonlocal Interactions
Ozgur Aydogmus
The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal in…
Moran-type bounds for the fixation probability in a frequency-dependent Wright-Fisher model
Timothy Chumley, Ozgur Aydogmus, Anastasios Matzavinos +1
We study stochastic evolutionary game dynamics in a population of finite size. Individuals in the population are divided into two dynamically evolving groups. The structure of the…