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 360 articles , 1 standard article )

Showing results 1 to 20 of 360.
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  1. Ahn, Sungwoo; Rubchinsky, Leonid L.: Temporal patterns of dispersal-induced synchronization in population dynamics (2020)
  2. Hao, Wenrui; Xue, Chuan: Spatial pattern formation in reaction-diffusion models: a computational approach (2020)
  3. Ang, Tau Keong; Safuan, Hamizah M.; Sidhu, Harvinder S.; Jovanoski, Zlatko; Towers, Isaac N.: Impact of harvesting on a bioeconomic predator-prey fishery model subject to environmental toxicant (2019)
  4. De Caluwé, Joëlle; Tosenberger, Alen; Gonze, Didier; Dupont, Geneviève: Signalling-modulated gene regulatory networks in early mammalian development (2019)
  5. Guan, Linan; Jia, Bing; Gu, Huaguang: A novel threshold across which the negative stimulation evokes action potential near a saddle-node bifurcation in a neuronal model with (I_\texth) current (2019)
  6. Hsu, Ting-Hao: Number and stability of relaxation oscillations for predator-prey systems with small death rates (2019)
  7. Hurtado, Paul J.; Kirosingh, Adam S.: Generalizations of the `linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models (2019)
  8. Jenner, Adrianne L.; Kim, Peter S.; Frascoli, Federico: Oncolytic virotherapy for tumours following a Gompertz growth law (2019)
  9. Kaouri, K.; Maini, P. K.; Skourides, P. A.; Christodoulou, N.; Chapman, S. J.: A simple mechanochemical model for calcium signalling in embryonic epithelial cells (2019)
  10. Köhnke, M. C.: Invasion dynamics in an intraguild predation system with predator-induced defense (2019)
  11. Köksal Ersöz, Elif; Desroches, Mathieu; Mirasso, Claudio R.; Rodrigues, Serafim: Anticipation via canards in excitable systems (2019)
  12. Kundu, Prosenjit; Sharma, Lekha; Nandan, Mauparna; Ghosh, Dibakar; Hens, Chittaranjan; Pal, Pinaki: Emergent dynamics in delayed attractive-repulsively coupled networks (2019)
  13. Liu, Yue; Milton, John; Campbell, Sue Ann: Outgrowing seizures in childhood absence epilepsy: time delays and bistability (2019)
  14. Lü, Zhuosheng; Chen, Lina; Duan, Lixia: Bifurcation analysis of mixed bursting in the pre-Bötzinger complex (2019)
  15. Mannix, P. M.; Mestel, A. J.: Weakly nonlinear mode interactions in spherical Rayleigh-Bénard convection (2019)
  16. Monga, Bharat; Moehlis, Jeff: Optimal phase control of biological oscillators using augmented phase reduction (2019)
  17. Monga, Bharat; Wilson, Dan; Matchen, Tim; Moehlis, Jeff: Phase reduction and phase-based optimal control for biological systems: a tutorial (2019)
  18. Peace, Angela; Wang, Hao: Compensatory foraging in stoichiometric producer-grazer models (2019)
  19. Ramirez-Zuniga, Ivan; Rubin, Jonathan E.; Swigon, David; Clermont, Gilles: Mathematical modeling of energy consumption in the acute inflammatory response (2019)
  20. Rocşoreanu, Carmen; Sterpu, Mihaela: Approximations of the heteroclinic orbits near a double-zero bifurcation with symmetry of order two. Application to a Liénard equation (2019)

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