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 351 articles , 1 standard article )

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  1. 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)
  2. De Caluwé, Joëlle; Tosenberger, Alen; Gonze, Didier; Dupont, Geneviève: Signalling-modulated gene regulatory networks in early mammalian development (2019)
  3. Hsu, Ting-Hao: Number and stability of relaxation oscillations for predator-prey systems with small death rates (2019)
  4. Hurtado, Paul J.; Kirosingh, Adam S.: Generalizations of the `linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models (2019)
  5. Jenner, Adrianne L.; Kim, Peter S.; Frascoli, Federico: Oncolytic virotherapy for tumours following a Gompertz growth law (2019)
  6. 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)
  7. Köhnke, M. C.: Invasion dynamics in an intraguild predation system with predator-induced defense (2019)
  8. Köksal Ersöz, Elif; Desroches, Mathieu; Mirasso, Claudio R.; Rodrigues, Serafim: Anticipation via canards in excitable systems (2019)
  9. Kundu, Prosenjit; Sharma, Lekha; Nandan, Mauparna; Ghosh, Dibakar; Hens, Chittaranjan; Pal, Pinaki: Emergent dynamics in delayed attractive-repulsively coupled networks (2019)
  10. Liu, Yue; Milton, John; Campbell, Sue Ann: Outgrowing seizures in childhood absence epilepsy: time delays and bistability (2019)
  11. Mannix, P. M.; Mestel, A. J.: Weakly nonlinear mode interactions in spherical Rayleigh-Bénard convection (2019)
  12. Monga, Bharat; Moehlis, Jeff: Optimal phase control of biological oscillators using augmented phase reduction (2019)
  13. Monga, Bharat; Wilson, Dan; Matchen, Tim; Moehlis, Jeff: Phase reduction and phase-based optimal control for biological systems: a tutorial (2019)
  14. Ramirez-Zuniga, Ivan; Rubin, Jonathan E.; Swigon, David; Clermont, Gilles: Mathematical modeling of energy consumption in the acute inflammatory response (2019)
  15. 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)
  16. Roussel, Marc R.: Nonlinear dynamics. A hands-on introductory survey (2019)
  17. Szalisznyó, Krisztina; Silverstein, David N.; Tóth, János: Neural dynamics in co-morbid schizophrenia and OCD: a computational approach (2019)
  18. Viertel, Ryan; Borisyuk, Alla: A computational model of the mammalian external tufted cell (2019)
  19. Wang, Jiaoyan; Zhao, Xiaoshan; Lei, Chao: Pulse inputs affect timings of spikes in neurons with or without time delays (2019)
  20. Akcay, Zeynep; Huang, Xinxian; Nadim, Farzan; Bose, Amitabha: Phase-locking and bistability in neuronal networks with synaptic depression (2018)

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