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 423 articles , 1 standard article )

Showing results 1 to 20 of 423.
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  1. Bera, Bidesh K.: Quenching and restoration of oscillations under environmental interactions (2021)
  2. Cao, Ben; Gu, Huaguang; Bai, Jiawei; Wu, Fuqiang: Bifurcation and chaos of spontaneous oscillations of hair bundles in auditory hair cells (2021)
  3. Fan, Guihong; Wolkowicz, Gail S. K.: Chaotic dynamics in a simple predator-prey model with discrete delay (2021)
  4. 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)
  5. Jia, Yanbing; Gu, Huaguang; Li, Yuye; Ding, Xueli: Inhibitory autapses enhance coherence resonance of a neuronal network (2021)
  6. 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)
  7. Sataev, I. R.; Stankevich, N. V.: Cascade of torus birth bifurcations and inverse cascade of Shilnikov attractors merging at the threshold of hyperchaos (2021)
  8. van den Berg, Jan Bouwe; Queirolo, Elena: A general framework for validated continuation of periodic orbits in systems of polynomial ODEs (2021)
  9. Abuthahir; Malangadan, Nizar; Raina, Gaurav: Effect of two forms of feedback on the performance of the rate control protocol (RCP) (2020)
  10. Ahn, Sungwoo; Rubchinsky, Leonid L.: Temporal patterns of dispersal-induced synchronization in population dynamics (2020)
  11. Aksim, Dan; Pavlov, Dmitry: On the extension of Adams-Bashforth-Moulton methods for numerical integration of delay differential equations and application to the Moon’s orbit (2020)
  12. Andò, Alessia; Breda, Dimitri: Collocation techniques for structured populations modeled by delay equations (2020)
  13. Antwi-Fordjour, Kwadwo; Parshad, Rana D.; Beauregard, Matthew A.: Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference (2020)
  14. bi, Yuanhong; Liu, Quansheng; Wang, Lixin; Yang, Wuritu; Wu, Xinwei: Bifurcation and potential landscape of p53 dynamics depending on PDCD5 level and ATM degradation rate (2020)
  15. Dixit, Shiva; Shrimali, Manish Dev: Static and dynamic attractive-repulsive interactions in two coupled nonlinear oscillators (2020)
  16. Duan, Lixia; Liang, Wangjuan; Ji, Wenchao; Xi, Hongguang: Bifurcation patterns of bursting within pre-Bötzinger complex and their control (2020)
  17. Fatoyinbo, H. O.; Brown, R. G.; Simpson, D. J. W.; van Brunt, B.: Numerical bifurcation analysis of pacemaker dynamics in a model of smooth muscle cells (2020)
  18. Hao, Wenrui; Xue, Chuan: Spatial pattern formation in reaction-diffusion models: a computational approach (2020)
  19. Köhnke, Merlin C.; Siekmann, Ivo; Seno, Hiromi; Malchow, Horst: A type IV functional response with different shapes in a predator-prey model (2020)
  20. Kuelbs, Daniel; Dunefsky, Jacob; Monga, Bharat; Moehlis, Jeff: Analysis of neural clusters due to deep brain stimulation pulses (2020)

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