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 289 articles , 1 standard article )

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  1. Akcay, Zeynep; Huang, Xinxian; Nadim, Farzan; Bose, Amitabha: Phase-locking and bistability in neuronal networks with synaptic depression (2018)
  2. Biswas, Debabrata; Banerjee, Tanmoy: Time-delayed chaotic dynamical systems. From theory to electronic experiment (2018)
  3. Campbell, Sue Ann; Wang, Zhen: Phase models and clustering in networks of oscillators with delayed coupling (2018)
  4. Ibrahim, Bashar: Mathematical analysis and modeling of DNA segregation mechanisms (2018)
  5. Jia, Bing: Negative feedback mediated by fast inhibitory autapse enhances neuronal oscillations near a Hopf bifurcation point (2018)
  6. Li, Li; Xu, Jian: Bifurcation analysis and spatiotemporal patterns in unidirectionally delay-coupled vibratory gyroscopes (2018)
  7. Seo, Gunog; Wolkowicz, Gail S. K.: Sensitivity of the dynamics of the general Rosenzweig-Macarthur model to the mathematical form of the functional response: a bifurcation theory approach (2018)
  8. Varshney, Vaibhav; Sabarathinam, S.; Prasad, Awadhesh; Thamilmaran, K.: Infinite number of hidden attractors in memristor-based autonomous Duffing oscillator (2018)
  9. Wilson, Dan; Ermentrout, Bard: Greater accuracy and broadened applicability of phase reduction using isostable coordinates (2018)
  10. Young, Glenn; Belmonte, Andrew: Fast cheater migration stabilizes coexistence in a public goods dilemma on networks (2018)
  11. Biswas, Debabrata; Banerjee, Tanmoy; Kurths, Jürgen: Control of birhythmicity: a self-feedback approach (2017)
  12. Booth, Victoria; Xique, Ismael; Diniz Behn, Cecilia G.: One-dimensional map for the circadian modulation of sleep in a sleep-wake regulatory network model for human sleep (2017)
  13. Chen, Xinfu; Ermentrout, Bard: Traveling pulses in a nonlocal equation arising near a saddle-node infinite cycle bifurcation (2017)
  14. da S. Costa, Michel Iskin; Esteves, Pedro. V.; Faria, Lucas Del Bianco; dos Anjos, Lucas: Prey dynamics under generalist predator culling in stage structured models (2017)
  15. Gou, Jia; Chiang, Wei-Yin; Lai, Pik-Yin; Ward, Michael J.; Li, Yue-Xian: A theory of synchrony by coupling through a diffusive chemical signal (2017)
  16. Ibrahim, Bashar: A mathematical framework for kinetochore-driven activation feedback in the mitotic checkpoint (2017)
  17. Köhnke, Merlin C.; Malchow, Horst: Impact of parameter variability and environmental noise on the Klausmeier model of vegetation pattern formation (2017)
  18. Köksal Ersöz, Elif; Desroches, Mathieu; Krupa, Martin: Synchronization of weakly coupled canard oscillators (2017)
  19. Ravigné, Virginie; Lemesle, Valérie; Walter, Alicia; Mailleret, Ludovic; Hamelin, Frédéric M.: Mate limitation in fungal plant parasites can lead to cyclic epidemics in perennial host populations (2017)
  20. Stankevich, Nataliya V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Chua, Leon O.: Scenario of the birth of hidden attractors in the Chua circuit (2017)

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