HomCont, jointly developed with Alan Champneys (University of Bristol) and Yuri A Kuznetsov (Utrecht University), is a numerical toolbox for homoclinic bifurcation analysis. It is designed for use with AUTO written by Eusebius Doedel (Concordia University). Specifically, HomCont deals with continuation of codimension-one heteroclinic and homoclinic orbits to hyperbolic and saddle-node equilibria, including the detection of many codimension-two singularities and the continuation of these singularities in three or more parameters.

References in zbMATH (referenced in 225 articles , 1 standard article )

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  1. Bolzoni, Luca; Marca, Rossella Della; Groppi, Maria; Gragnani, Alessandra: Dynamics of a metapopulation epidemic model with localized culling (2020)
  2. Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga: Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis (2020)
  3. Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.: Computing connecting orbits to infinity associated with a homoclinic flip bifurcation (2020)
  4. Leonov, G. A.; Mokaev, R. N.; Kuznetsov, N. V.; Mokaev, T. N.: Homoclinic bifurcations and chaos in the fishing principle for the Lorenz-like systems (2020)
  5. Lin, Wei; Páez Chávez, Joseph; Liu, Yang; Yang, Yingxin; Kuang, Yuchun: Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control (2020)
  6. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: High-order analysis of canard explosion in the Brusselator equations (2020)
  7. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: Analytical approximation of cuspidal loops using a nonlinear time transformation method (2020)
  8. Tavallaeinejad, Mohammad; Païdoussis, Michael P.; Legrand, Mathias; Kheiri, Mojtaba: Instability and the post-critical behaviour of two-dimensional inverted flags in axial flow (2020)
  9. Yagasaki, Kazuyuki; Stachowiak, Tomasz: Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in (\mathbbR^d) for (d=3,4) (2020)
  10. Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.: A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form (2019)
  11. Kalia, Manu; Kuznetsov, Yuri A.; Meijer, Hil G. E.: Homoclinic saddle to saddle-focus transitions in 4D systems (2019)
  12. Lee, Min-Gi; Katsaounis, Theodoros; Tzavaras, Athanasios E.: Localization in adiabatic shear flow via geometric theory of singular perturbations (2019)
  13. Postlethwaite, Claire M.; Rucklidge, Alastair M.: A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors (2019)
  14. Tuwankotta, Johan Matheus; Harjanto, Eric: Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation (2019)
  15. Tuwankotta, Johan M.; Harjanto, Eric; Owen, Livia: Dynamics and bifurcations in a dynamical system of a predator-prey type with nonmonotonic response function and time-periodic variation (2019)
  16. Amabili, Marco: Nonlinear vibrations and stability of laminated shells using a modified first-order shear deformation theory (2018)
  17. Bujalski, Julia; Dwyer, Grace; Kapitula, Todd; Le, Quang-Nhat; Malvai, Harjasleen; Rosenthal-Kay, Jordan; Ruiter, Joshua: Consensus and clustering in opinion formation on networks (2018)
  18. Burylko, Oleksandr; Mielke, Alexander; Wolfrum, Matthias; Yanchuk, Serhiy: Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling (2018)
  19. Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.: Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study (2018)
  20. Qin, B. W.; Chung, K. W.; Rodríguez-Luis, A. J.; Belhaq, M.: Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with (D_4) symmetry (2018)

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