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 241 articles , 1 standard article )

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  1. Zhang, Shu; Yuan, Yuan: The Filippov equilibrium and sliding motion in an Internet congestion control model (2017)
  2. 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)
  3. Ashwin, Peter; Coombes, Stephen; Nicks, Rachel: Mathematical frameworks for oscillatory network dynamics in neuroscience (2016)
  4. Boie, Sebastian; Kirk, Vivien; Sneyd, James; Wechselberger, Martin: Effects of quasi-steady-state reduction on biophysical models with oscillations (2016)
  5. González-Navarrete, Manuel: Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module (2016)
  6. Gou, J.; Ward, M.J.: Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics (2016)
  7. Gou, J.; Ward, M.J.: An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion (2016)
  8. 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)
  9. Leung, Tiffany; Hughes, Barry D.; Frascoli, Federico; McCaw, James M.: Periodic solutions in an SIRWS model with immune boosting and cross-immunity (2016)
  10. Linaro, Daniele; Storace, Marco: BAL: a library for the \itbrute-force analysis of dynamical systems (2016)
  11. Mouser, Christina; Bose, Amitabha; Nadim, Farzan: The role of electrical coupling in generating and modulating oscillations in a neuronal network (2016)
  12. 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)
  13. 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)
  14. Jerez, S.; Chen, B.: Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling (2015)
  15. Merrison-Hort, Robert: Fireflies: new software for interactively exploring dynamical systems using GPU computing (2015)
  16. 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)
  17. Snyder, Abigail C.; Rubin, Jonathan E.: Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching (2015)
  18. 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)
  19. Yi, Guosheng; Wang, Jiang; Tsang, Kai-Ming; Wei, Xile; Deng, Bin; Han, Chunxiao: Spike-frequency adaptation of a two-compartment neuron modulated by extracellular electric fields (2015)
  20. Young, Glenn; Ermentrout, Bard; Rubin, Jonathan E.: A boundary value approach to optimization with an application to salmonella competition (2015)

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