12 citations · 20 across the 7 of their papers we have counts for
8 papers
Transition Dynamics in General Two-Component Reaction-Diffusion Systems
Taylan Şengül, Burhan Tiryakioglu, Esmanur Yıldız Akıl
This work provides a comprehensive characterization of the first dynamic transition of a general two-component reaction-diffusion system on a bounded interval in one spatial dimens…
Variational Nonlinearities and Wave Selection at an -Hopf Bifurcation
Taylan Şengül
At an -equivariant Hopf bifurcation, the real parts and of the two cubic normal-form coefficients govern selection between traveling and standing waves. In a four…
Delay Placement Governs Feasibility and Hopf Bifurcation in a Pollution-Based Tourism Model
Taylan Şengül, Bünyamin Kurtkaya
We compare eight variants of a three-variable pollution-based tourism model obtained by assigning the same discrete delay to different terms. The delay may enter three slots: the v…
Wave Selection at an -Hopf Bifurcation in Conservative Two-Component PDE Systems
Saadet S. Özer, Taylan Şengül, Burhan Tiryakioglu
At an -equivariant Hopf bifurcation a spatially periodic system selects between traveling waves and standing waves, and which branch appears and whether it is stable is decid…
Transitions of zonal flows in a two-layer quasi-geostrophic ocean model
Mickael D. Chekroun, Henk Dijkstra, Taylan Şengül +1
We consider a 2-layer quasi-geostrophic ocean model where the upper layer is forced by a steady Kolmogorov wind stress in a periodic channel domain, which allows to mathematically…
Dynamic Transitions and Baroclinic Instability for 3D Continuously Stratified Boussinesq Flows
Taylan Şengül, Shouhong Wang
The main objective of this article is to study the nonlinear stability and dynamic transitions of the basic (zonal) shear flows for the three-dimensional continuously stratified ro…