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Bifurcation curves in discontinuous maps
1. | University of Urbino, Department of Economics and Quantitative Methods, Via Saffi 42, 61029 Urbino, Italy, Italy |
2. | Marche Polytechnic University, Department of Economics, Piazzale Martelli 8, 60121 Ancona, Italy |
[1] |
Iryna Sushko, Anna Agliari, Laura Gardini. Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps. Discrete and Continuous Dynamical Systems - B, 2005, 5 (3) : 881-897. doi: 10.3934/dcdsb.2005.5.881 |
[2] |
Hun Ki Baek, Younghae Do. Dangerous Border-Collision bifurcations of a piecewise-smooth map. Communications on Pure and Applied Analysis, 2006, 5 (3) : 493-503. doi: 10.3934/cpaa.2006.5.493 |
[3] |
Zhiying Qin, Jichen Yang, Soumitro Banerjee, Guirong Jiang. Border-collision bifurcations in a generalized piecewise linear-power map. Discrete and Continuous Dynamical Systems - B, 2011, 16 (2) : 547-567. doi: 10.3934/dcdsb.2011.16.547 |
[4] |
Laura Gardini, Roya Makrooni, Iryna Sushko. Cascades of alternating smooth bifurcations and border collision bifurcations with singularity in a family of discontinuous linear-power maps. Discrete and Continuous Dynamical Systems - B, 2018, 23 (2) : 701-729. doi: 10.3934/dcdsb.2018039 |
[5] |
Miguel Mendes. A note on the coding of orbits in certain discontinuous maps. Discrete and Continuous Dynamical Systems, 2010, 27 (1) : 369-382. doi: 10.3934/dcds.2010.27.369 |
[6] |
Thorsten Hüls. A model function for non-autonomous bifurcations of maps. Discrete and Continuous Dynamical Systems - B, 2007, 7 (2) : 351-363. doi: 10.3934/dcdsb.2007.7.351 |
[7] |
Jianfei Cheng, Xiao Wang, Yicheng Liu. Collision-avoidance and flocking in the Cucker–Smale-type model with a discontinuous controller. Discrete and Continuous Dynamical Systems - S, 2022, 15 (7) : 1733-1748. doi: 10.3934/dcdss.2021169 |
[8] |
Alexander Alekseenko, Jeffrey Limbacher. Evaluating high order discontinuous Galerkin discretization of the Boltzmann collision integral in $ \mathcal{O}(N^2) $ operations using the discrete fourier transform. Kinetic and Related Models, 2019, 12 (4) : 703-726. doi: 10.3934/krm.2019027 |
[9] |
Antonio Pumariño, José Ángel Rodríguez, Joan Carles Tatjer, Enrique Vigil. Expanding Baker Maps as models for the dynamics emerging from 3D-homoclinic bifurcations. Discrete and Continuous Dynamical Systems - B, 2014, 19 (2) : 523-541. doi: 10.3934/dcdsb.2014.19.523 |
[10] |
Sergey V. Bolotin. Shadowing chains of collision orbits. Discrete and Continuous Dynamical Systems, 2006, 14 (2) : 235-260. doi: 10.3934/dcds.2006.14.235 |
[11] |
Matthias Gerdts, René Henrion, Dietmar Hömberg, Chantal Landry. Path planning and collision avoidance for robots. Numerical Algebra, Control and Optimization, 2012, 2 (3) : 437-463. doi: 10.3934/naco.2012.2.437 |
[12] |
Claudia Totzeck. An anisotropic interaction model with collision avoidance. Kinetic and Related Models, 2020, 13 (6) : 1219-1242. doi: 10.3934/krm.2020044 |
[13] |
Adriano Festa, Andrea Tosin, Marie-Therese Wolfram. Kinetic description of collision avoidance in pedestrian crowds by sidestepping. Kinetic and Related Models, 2018, 11 (3) : 491-520. doi: 10.3934/krm.2018022 |
[14] |
Vivina Barutello, Gian Marco Canneori, Susanna Terracini. Minimal collision arcs asymptotic to central configurations. Discrete and Continuous Dynamical Systems, 2021, 41 (1) : 61-86. doi: 10.3934/dcds.2020218 |
[15] |
Felipe Cucker, Jiu-Gang Dong. A conditional, collision-avoiding, model for swarming. Discrete and Continuous Dynamical Systems, 2014, 34 (3) : 1009-1020. doi: 10.3934/dcds.2014.34.1009 |
[16] |
G. Bonanno, Salvatore A. Marano. Highly discontinuous elliptic problems. Conference Publications, 1998, 1998 (Special) : 118-123. doi: 10.3934/proc.1998.1998.118 |
[17] |
Hany A. Hosham, Eman D Abou Elela. Discontinuous phenomena in bioreactor system. Discrete and Continuous Dynamical Systems - B, 2019, 24 (6) : 2955-2969. doi: 10.3934/dcdsb.2018294 |
[18] |
Mauro Garavello, Roberto Natalini, Benedetto Piccoli, Andrea Terracina. Conservation laws with discontinuous flux. Networks and Heterogeneous Media, 2007, 2 (1) : 159-179. doi: 10.3934/nhm.2007.2.159 |
[19] |
Laetitia Paoli. Vibrations of a beam between stops: Collision events and energy balance properties. Evolution Equations and Control Theory, 2020, 9 (4) : 1133-1151. doi: 10.3934/eect.2020057 |
[20] |
Helmut Maurer, Tanya Tarnopolskaya, Neale Fulton. Computation of bang-bang and singular controls in collision avoidance. Journal of Industrial and Management Optimization, 2014, 10 (2) : 443-460. doi: 10.3934/jimo.2014.10.443 |
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