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 261 articles , 1 standard article )

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  1. Campbell, Sue Ann; Wang, Zhen: Phase models and clustering in networks of oscillators with delayed coupling (2018)
  2. Ibrahim, Bashar: Mathematical analysis and modeling of DNA segregation mechanisms (2018)
  3. 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)
  4. Chen, Xinfu; Ermentrout, Bard: Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation (2017)
  5. da S.Costa, Michel Iskin; Esteves, Pedro.V.; Faria, Lucas Del Bianco; dos Anjos, Lucas: Prey dynamics under generalist predator culling in stage structured models (2017)
  6. Ibrahim, Bashar: A mathematical framework for kinetochore-driven activation feedback in the mitotic checkpoint (2017)
  7. 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)
  8. Zhang, Shu; Yuan, Yuan: The Filippov equilibrium and sliding motion in an Internet congestion control model (2017)
  9. 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)
  10. Ashwin, Peter; Coombes, Stephen; Nicks, Rachel: Mathematical frameworks for oscillatory network dynamics in neuroscience (2016)
  11. Astakhov, Sergey; Astakhov, Oleg; Astakhov, Vladimir; Kurths, Jürgen: Bifurcational mechanism of multistability formation and frequency entrainment in a van der Pol oscillator with an additional oscillatory circuit (2016)
  12. Boie, Sebastian; Kirk, Vivien; Sneyd, James; Wechselberger, Martin: Effects of quasi-steady-state reduction on biophysical models with oscillations (2016)
  13. Colacchio, Giorgio: Transitions to chaos in a seven-equation model of the business cycle with income redistribution and private debt (2016)
  14. Desroches, Mathieu; Krupa, Martin; Rodrigues, Serafim: Spike-adding in parabolic bursters: the role of folded-saddle canards (2016)
  15. Duan, Lixia; Chen, Xi; Tang, Xuhui; Su, Jianzhong: Bursting transition dynamics within the pre-Bötzinger complex (2016)
  16. Duanmu, M.; Whitaker, N.; Kevrekidis, P.G.; Vainchtein, A.; Rubin, J.E.: Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators (2016)
  17. Fallah, Haniyeh: Symmetric fold/super-Hopf bursting, chaos and mixed-mode oscillations in Pernarowski model of pancreatic beta-cells (2016)
  18. González-Navarrete, Manuel: Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module (2016)
  19. Gou, J.; Ward, M.J.: Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics (2016)
  20. Gou, J.; Ward, M.J.: An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion (2016)

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