This is a list of geomorphology papers that map onto the chapter headings of Strogatz — ‘Nonlinear Dynamics and Chaos’. This is a work in progress — some headings are left blank because I can’t find concrete examples (i.e., strange attractors) and while others remain blank because of too many examples (i.e., fractals). I envision this list could be used when teaching or discussing nonlinear dynamics in a geomorphology setting.

**Part I: One-Dimensional Flows****Ch. 2: Flows on a Line****Ch. 3: Bifurcations**- Fagherazzi, S., Carniello, L., D’Alpaos, L., & Defina, A. (2006). Critical bifurcation of shallow microtidal landforms in tidal flats and salt marshes.
*Proceedings of the National Academy of Sciences*,*103*(22), 8337-8341. 10.1073/pnas.0508379103 - Anderson, R. S. (2002). Modeling the tor-dotted crests, bedrock edges, and parabolic profiles of high alpine surfaces of the Wind River Range, Wyoming.
*Geomorphology*,*46*(1), 35-58. 10.1016/S0169-555X(02)00053-3 - Pelak, N. F., Parolari, A. J., & Porporato, A. (2016). Bistable plant–soil dynamics and biogenic controls on the soil production function.
*Earth Surface Processes and Landforms*,*41*(8), 1011-1017.10.1002/esp.3878 - Yizhaq, H., Ashkenazy, Y., & Tsoar, H. (2007). Why do active and stabilized dunes coexist under the same climatic conditions?.
*Physical Review Letters*,*98*(18), 188001. 10.1103/PhysRevLett.98.188001 - Yizhaq, H., Ashkenazy, Y., & Tsoar, H. (2009). Sand dune dynamics and climate change: A modeling approach.
*Journal of Geophysical Research: Earth Surface*,*114*(F1). 10.1029/2008JF001138 - Bel, G., & Ashkenazy, Y. (2014). The effects of psammophilous plants on sand dune dynamics.
*Journal of Geophysical Research: Earth Surface*,*119*(7), 1636-1650. 10.1002/2014JF003170 - Goldstein, E.B., and L.J. Moore, (2016) Stability and bistability in a one-dimensional model of coastal foredune height, J. Geophys. Res. Earth Surf., 121, 964–977, doi: 10.1002/2015JF003783

- Fagherazzi, S., Carniello, L., D’Alpaos, L., & Defina, A. (2006). Critical bifurcation of shallow microtidal landforms in tidal flats and salt marshes.
**Ch. 4: Flows on a Circle**

**Part II: Two-Dimensional Flows****Ch. 5: Linear Systems**- Plant, N. G., Todd Holland, K., & Holman, R. A. (2006). A dynamical attractor governs beach response to storms.
*Geophysical Research Letters*,*33*(17). 10.1029/2006GL027105

- Plant, N. G., Todd Holland, K., & Holman, R. A. (2006). A dynamical attractor governs beach response to storms.
**Ch. 6: Phase Plane**- Marani, M., D’Alpaos, A., Lanzoni, S., Carniello, L., & Rinaldo, A. (2007). Biologically‐controlled multiple equilibria of tidal landforms and the fate of the Venice lagoon.
*Geophysical Research Letters*,*34*(11).10.1029/2007GL030178 - Marani, M., D’Alpaos, A., Lanzoni, S., Carniello, L., & Rinaldo, A. (2010). The importance of being coupled: Stable states and catastrophic shifts in tidal biomorphodynamics.
*Journal of Geophysical Research: Earth Surface*,*115*(F4). 10.1029/2009JF001600 - Stark, C. P., & Passalacqua, P. (2014). A dynamical system model of eco‐geomorphic response to landslide disturbance.
*Water Resources Research*,*50*(10), 8216-8226.10.1002/2013WR014810 - 2006), A self-regulating model of bedrock river channel geometry, Geophys. Res. Lett., 32, L04402, doi:10.1029/2005GL023193. (
- Limber, P. W., A.B. Murray, P. N. Adams and E.B. Goldstein, (2014), Unraveling the dynamics that scale cross-shore headland amplitude on rocky coastlines, Part 1: Model Development,
*Journal of Geophysical Research: Earth Surface*, 119, doi: 10.1002/2013JF002950 - Limber, P. W., & Murray, A. B. (2014). Unraveling the dynamics that scale cross‐shore headland relief on rocky coastlines: 2. Model predictions and initial tests.
*Journal of Geophysical Research: Earth Surface*,*119*(4), 874-891.10.1002/2013JF002978 - Mariotti, G., & Fagherazzi, S. (2013). Critical width of tidal flats triggers marsh collapse in the absence of sea-level rise.
*Proceedings of the National Academy of Sciences*,*110*(14), 5353-5356. 10.1073/pnas.1219600110

- Marani, M., D’Alpaos, A., Lanzoni, S., Carniello, L., & Rinaldo, A. (2007). Biologically‐controlled multiple equilibria of tidal landforms and the fate of the Venice lagoon.
**Ch. 7: Limit Cycles**- Stark, C. P. (2010). Oscillatory motion of drainage divides.
*Geophysical Research Letters*,*37*(4).10.1029/2009GL040851

- Stark, C. P. (2010). Oscillatory motion of drainage divides.
**Ch. 8: Bifurcations revisited**- Mariotti, G., & Fagherazzi, S. (2013). A two‐point dynamic model for the coupled evolution of channels and tidal flats.
*Journal of Geophysical Research: Earth Surface*,*118*(3), 1387-1399. 10.1002/jgrf.20070

- Mariotti, G., & Fagherazzi, S. (2013). A two‐point dynamic model for the coupled evolution of channels and tidal flats.

**Part III: Chaos****Ch. 9: Lorenz Equations****Ch. 10: One-Dimensional Maps**- Goldstein, E.B., and L.J. Moore, (2016) Stability and bistability in a one-dimensional model of coastal foredune height, J. Geophys. Res. Earth Surf., 121, 964–977, doi: 10.1002/2015JF003783

**Ch. 11: Fractals**- There are too many papers/books/issues to discuss here…

**Ch. 12: Strange Attractors**