XPPAUT

XPPAUT is software for the analysis and simulation of dynamic systems. It includes AUTO, a bifurcation package, as well as dozens of other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems are easily solved and plotted. Animation scripts, Poincare maps, and statistical measures are among its many features. (Source: http://freecode.com/)


References in zbMATH (referenced in 244 articles , 1 standard article )

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  1. Booth, Victoria; Xique, Ismael; Diniz Behn, Cecilia G.: One-dimensional map for the circadian modulation of sleep in a sleep-wake regulatory network model for human sleep (2017)
  2. Ibrahim, Bashar: A mathematical framework for kinetochore-driven activation feedback in the mitotic checkpoint (2017)
  3. Ravigné, Virginie; Lemesle, Valérie; Walter, Alicia; Mailleret, Ludovic; Hamelin, Frédéric M.: Mate limitation in fungal plant parasites can lead to cyclic epidemics in perennial host populations (2017)
  4. Zhang, Shu; Yuan, Yuan: The Filippov equilibrium and sliding motion in an Internet congestion control model (2017)
  5. Antoneli, Fernando; Ferreira, Renata C.; Briones, Marcelo R.S.: A model of gene expression based on random dynamical systems reveals modularity properties of gene regulatory networks (2016)
  6. Ashwin, Peter; Coombes, Stephen; Nicks, Rachel: Mathematical frameworks for oscillatory network dynamics in neuroscience (2016)
  7. Boie, Sebastian; Kirk, Vivien; Sneyd, James; Wechselberger, Martin: Effects of quasi-steady-state reduction on biophysical models with oscillations (2016)
  8. González-Navarrete, Manuel: Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module (2016)
  9. Gou, J.; Ward, M.J.: An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion (2016)
  10. Gou, J.; Ward, M.J.: Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics (2016)
  11. Hao, Lijie; Yang, Zhuoqin; Bi, Yuanhong: Stochasticity and bifurcations in a reduced model with interlinked positive and negative feedback loops of CREB1 and CREB2 stimulated by 5-HT (2016)
  12. Leung, Tiffany; Hughes, Barry D.; Frascoli, Federico; McCaw, James M.: Periodic solutions in an SIRWS model with immune boosting and cross-immunity (2016)
  13. Linaro, Daniele; Storace, Marco: BAL: a library for the \itbrute-force analysis of dynamical systems (2016)
  14. Mouser, Christina; Bose, Amitabha; Nadim, Farzan: The role of electrical coupling in generating and modulating oscillations in a neuronal network (2016)
  15. Wolkowicz, Gail S.K.; Yuan, Yuan: Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system (2016)
  16. Gou, J.; Li, Y.X.; Nagata, W.; Ward, M.J.: Synchronized oscillatory dynamics for a 1-D model of membrane kinetics coupled by linear bulk diffusion (2015)
  17. Jerez, S.; Chen, B.: Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling (2015)
  18. Merrison-Hort, Robert: Fireflies: new software for interactively exploring dynamical systems using GPU computing (2015)
  19. Nicoli, Emily J.; Ayabina, Diepreye; Trotter, Caroline L.; Turner, Katherine M.E.; Colijn, Caroline: Competition, coinfection and strain replacement in models of \itBordetella pertussis (2015)
  20. Snyder, Abigail C.; Rubin, Jonathan E.: Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching (2015)

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