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 236 articles , 1 standard article )

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  1. Lu, Min; Huang, Jicai: Global analysis in Bazykin’s model with Holling II functional response and predator competition (2021)
  2. Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.: (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model (2021)
  3. Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.: Computation of all the coefficients for the global connections in the (\mathbbZ_2)-symmetric Takens-Bogdanov normal forms (2020)
  4. Bolzoni, Luca; Marca, Rossella Della; Groppi, Maria; Gragnani, Alessandra: Dynamics of a metapopulation epidemic model with localized culling (2020)
  5. Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga: Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis (2020)
  6. Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.: Computing connecting orbits to infinity associated with a homoclinic flip bifurcation (2020)
  7. 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)
  8. 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)
  9. Páez Chávez, Joseph; Zhang, Zhi; Liu, Yang: A numerical approach for the bifurcation analysis of nonsmooth delay equations (2020)
  10. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: Analytical approximation of cuspidal loops using a nonlinear time transformation method (2020)
  11. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: High-order analysis of canard explosion in the Brusselator equations (2020)
  12. Tavallaeinejad, Mohammad; Païdoussis, Michael P.; Legrand, Mathias; Kheiri, Mojtaba: Instability and the post-critical behaviour of two-dimensional inverted flags in axial flow (2020)
  13. Witting, Katrin; Molo, Mirko Hessel-Von; Dellnitz, Michael: Structural properties of Pareto fronts: the occurrence of dents in classical and parametric multiobjective optimization problems (2020)
  14. 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)
  15. Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J.: Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case (\mathbfC_\mathbfin) (2019)
  16. 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)
  17. Kalia, Manu; Kuznetsov, Yuri A.; Meijer, Hil G. E.: Homoclinic saddle to saddle-focus transitions in 4D systems (2019)
  18. Kepley, Shane; Mireles James, J. D.: Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set (2019)
  19. Lee, Min-Gi; Katsaounis, Theodoros; Tzavaras, Athanasios E.: Localization in adiabatic shear flow via geometric theory of singular perturbations (2019)
  20. Postlethwaite, Claire M.; Rucklidge, Alastair M.: A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors (2019)

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