article published Sören von der Gracht author 973590000-0002-8054-2058 Eddie Nijholt author Bob Rink author We investigate bifurcations in feedforward coupled cell networks. Feedforward structure (the absence of feedback) can be defined by a partial order on the cells. We use this property to study generic one-parameter steady state bifurcations for such networks. Branching solutions and their asymptotics are described in terms of Taylor coefficients of the internal dynamics. They can be determined via an algorithm that only exploits the network structure. Similar to previous results on feedforward chains, we observe amplifications of the growth rates of steady state branches induced by the feedforward structure. However, contrary to these earlier results, as the interaction scenarios can be more complicated in general feedforward networks, different branching patterns and different amplifications can occur for different regions in the space of Taylor coefficients. IOP Publishing2022 eng Applied MathematicsGeneral Physics and AstronomyMathematical PhysicsStatistical and Nonlinear Physics 0951-7715 1361-6544 2105.0254710.1088/1361-6544/ac5463 3542073-2120 yes S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120. von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward Networks.” <i>Nonlinearity</i>, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120, doi:<a href="https://doi.org/10.1088/1361-6544/ac5463">10.1088/1361-6544/ac5463</a>. @article{von der Gracht_Nijholt_Rink_2022, title={Amplified steady state bifurcations in feedforward networks}, volume={35}, DOI={<a href="https://doi.org/10.1088/1361-6544/ac5463">10.1088/1361-6544/ac5463</a>}, number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2022}, pages={2073–2120} } von der Gracht, S., Nijholt, E., &#38; Rink, B. (2022). Amplified steady state bifurcations in feedforward networks. <i>Nonlinearity</i>, <i>35</i>(4), 2073–2120. <a href="https://doi.org/10.1088/1361-6544/ac5463">https://doi.org/10.1088/1361-6544/ac5463</a> von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in feedforward networks. <i>Nonlinearity</i>. 2022;35(4):2073-2120. doi:<a href="https://doi.org/10.1088/1361-6544/ac5463">10.1088/1361-6544/ac5463</a> Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady State Bifurcations in Feedforward Networks.” <i>Nonlinearity</i> 35, no. 4 (2022): 2073–2120. <a href="https://doi.org/10.1088/1361-6544/ac5463">https://doi.org/10.1088/1361-6544/ac5463</a>. S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations in feedforward networks,” <i>Nonlinearity</i>, vol. 35, no. 4, pp. 2073–2120, 2022, doi: <a href="https://doi.org/10.1088/1361-6544/ac5463">10.1088/1361-6544/ac5463</a>. 332642022-09-06T11:38:15Z2022-09-07T08:36:46Z