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 468 articles , 1 standard article )

Showing results 1 to 20 of 468.
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  1. Chen, Liam; Hannawi, Yousef; Terman, David: Modeling the effect of cerebral capillary blood flow on neuronal firing (2022)
  2. Fatoyinbo, H. O.; Brown, R. G.; Simpson, D. J. W.; van Brunt, B.: Pattern formation in a spatially extended model of pacemaker dynamics in smooth muscle cells (2022)
  3. Hua, Hongtao; Gu, Huaguang; Jia, Yanbing; Lu, Bo: The nonlinear mechanisms underlying the various stochastic dynamics evoked from different bursting patterns in a neuronal model (2022)
  4. Madeira, João Luiz de Oliveira; Antoneli, Fernando: Homeostasis in networks with multiple input nodes and robustness in bacterial chemotaxis (2022)
  5. Revilla, Tomás A.; Křivan, Vlastimil: Prey-predator dynamics with adaptive protection mutualism (2022)
  6. Tay, Chai Jian; Mohd, Mohd Hafiz; Teh, Su Yean; Koh, Hock Lye: Internal phosphorus recycling promotes rich and complex dynamics in an algae-phosphorus model: implications for eutrophication management (2022)
  7. Wang, Xianjun; Gu, Huaguang: Post inhibitory rebound spike related to nearly vertical nullcline for small homoclinic and saddle-node bifurcations (2022)
  8. Wu, Fuqiang; Hu, Xikui; Ma, Jun: Estimation of the effect of magnetic field on a memristive neuron (2022)
  9. Astakhov, Sergey; Astakhov, Oleg; Fadeeva, Natalia; Astakhov, Vladimir: Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator (2021)
  10. Baspinar, E.; Avitabile, D.; Desroches, M.: Canonical models for torus canards in elliptic bursters (2021)
  11. Bera, Bidesh K.: Quenching and restoration of oscillations under environmental interactions (2021)
  12. Cao, Ben; Gu, Huaguang; Bai, Jiawei; Wu, Fuqiang: Bifurcation and chaos of spontaneous oscillations of hair bundles in auditory hair cells (2021)
  13. Chakraborty, Saumen; Dandapathak, Manaj; De Sarkar, Saumendra Sankar: Effect of self feedback on mean-field coupled oscillators: revival and quenching of oscillations (2021)
  14. Fan, Guihong; Wolkowicz, Gail S. K.: Chaotic dynamics in a simple predator-prey model with discrete delay (2021)
  15. Frank, Anna S.; Larripa, Kamila; Ryu, Hwayeon; Snodgrass, Ryan G.; Röblitz, Susanna: Bifurcation and sensitivity analysis reveal key drivers of multistability in a model of macrophage polarization (2021)
  16. Gulbudak, Hayriye; Salceanu, Paul L.; Wolkowicz, Gail S. K.: A delay model for persistent viral infections in replicating cells (2021)
  17. Hemami, Mohammad; Rad, Jamal Amani; Parand, Kourosh: Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach (2021)
  18. Iyaniwura, Sarafa A.; Ward, Michael J.: Localised signalling compartments in 2D coupled by a bulk diffusion field: quorum sensing and synchronous oscillations in the well-mixed limit (2021)
  19. Jia, Yanbing; Gu, Huaguang; Li, Yuye; Ding, Xueli: Inhibitory autapses enhance coherence resonance of a neuronal network (2021)
  20. Kraikivski, Pavel: Computational software (2021)

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