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 440 articles , 1 standard article )

Showing results 1 to 20 of 440.
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  1. Baspinar, E.; Avitabile, D.; Desroches, M.: Canonical models for torus canards in elliptic bursters (2021)
  2. Bera, Bidesh K.: Quenching and restoration of oscillations under environmental interactions (2021)
  3. Cao, Ben; Gu, Huaguang; Bai, Jiawei; Wu, Fuqiang: Bifurcation and chaos of spontaneous oscillations of hair bundles in auditory hair cells (2021)
  4. Chakraborty, Saumen; Dandapathak, Manaj; De Sarkar, Saumendra Sankar: Effect of self feedback on mean-field coupled oscillators: revival and quenching of oscillations (2021)
  5. Fan, Guihong; Wolkowicz, Gail S. K.: Chaotic dynamics in a simple predator-prey model with discrete delay (2021)
  6. 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)
  7. Gulbudak, Hayriye; Salceanu, Paul L.; Wolkowicz, Gail S. K.: A delay model for persistent viral infections in replicating cells (2021)
  8. Jia, Yanbing; Gu, Huaguang; Li, Yuye; Ding, Xueli: Inhibitory autapses enhance coherence resonance of a neuronal network (2021)
  9. Liu, Yue; Rens, Elisabeth G.; Edelstein-Keshet, Leah: Spots, stripes, and spiral waves in models for static and motile cells. GTPase patterns in cells (2021)
  10. Ma, Kaihua; Gu, Huaguang; Zhao, Zhiguo: Fast-slow variable dissection with two slow variables: a case study on bifurcations underlying bursting for seizure and spreading depression (2021)
  11. Mondal, Ritwika; Saha, Suman; Kesh, Dipak; Mukherjee, Debasis: Basin transition and alternative states: role of multi-species herbivores-induced volatile in plant-insect interactions (2021)
  12. Ramya, C.; Gopal, R.; Suresh, R.; Chandrasekar, V. K.: Dynamics of coupled modified Rössler oscillators: the role of nonisochronicity parameter (2021)
  13. Sadhu, Susmita: Complex oscillatory patterns near singular Hopf bifurcation in a two-timescale ecosystem (2021)
  14. Sataev, I. R.; Stankevich, N. V.: Cascade of torus birth bifurcations and inverse cascade of Shilnikov attractors merging at the threshold of hyperchaos (2021)
  15. Su, Rina; Zhang, Chunrui: Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay (2021)
  16. Terman, David; Chen, Liam; Hannawi, Yousef: Mathematical modeling of cerebral capillary blood flow heterogeneity and its effect on brain tissue oxygen levels (2021)
  17. van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena: Rigorous verification of Hopf bifurcations via desingularization and continuation (2021)
  18. van den Berg, Jan Bouwe; Queirolo, Elena: A general framework for validated continuation of periodic orbits in systems of polynomial ODEs (2021)
  19. Verma, Tina; Gupta, Arvind Kumar: Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model (2021)
  20. Wang, Yangyang; Gill, Jeffrey P.; Chiel, Hillel J.; Thomas, Peter J.: Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation (2021)

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