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 220 articles , 1 standard article )

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  1. 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)
  2. Ashwin, Peter; Coombes, Stephen; Nicks, Rachel: Mathematical frameworks for oscillatory network dynamics in neuroscience (2016)
  3. González-Navarrete, Manuel: Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module (2016)
  4. Gou, J.; Ward, M.J.: An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion (2016)
  5. Gou, J.; Ward, M.J.: Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics (2016)
  6. 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)
  7. 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)
  8. 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)
  9. Jerez, S.; Chen, B.: Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling (2015)
  10. Merrison-Hort, Robert: Fireflies: new software for interactively exploring dynamical systems using GPU computing (2015)
  11. 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)
  12. Snyder, Abigail C.; Rubin, Jonathan E.: Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching (2015)
  13. West, Simon; Bridge, Lloyd J.; White, Michael R.H.; Paszek, Pawel; Biktashev, Vadim N.: A method of `speed coefficients’ for biochemical model reduction applied to the NF-$\kappa$B system (2015)
  14. Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E.: A boundary value approach to optimization with an application to salmonella competition (2015)
  15. Young, Glenn; Shim, Eunha; Ermentrout, G.Bard: Qualitative effects of monovalent vaccination against rotavirus: A comparison of north America and south America (2015)
  16. Yu, Na; Canavier, Carmen C.: A mathematical model of a midbrain dopamine neuron identifies two slow variables likely responsible for bursts evoked by SK channel antagonists and terminated by depolarization block (2015)
  17. Zhang, Wei; Tian, Tianhai; Zou, Xiufen: Negative feedback contributes to the stochastic expression of the interferon-$\beta$ gene in virus-triggered type I interferon signaling pathways (2015)
  18. Dong, Yueping; Miyazaki, Rinko; Takeuchi, Yasuhiro: Mathematical modeling on helper T cells in a tumor immune system (2014)
  19. Li, Bo; He, Zhimin: Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model (2014)
  20. McLennan-Smith, Timothy A.; Mercer, Geoffry N.: Complex behaviour in a dengue model with a seasonally varying vector population (2014)

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