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A general approach to stability and sensitivity in dynamical systems
Dense set of negative Schwarzian maps whose critical points have minimal limit sets
1. | Department of Mathematics, University of Alabama in Birmingham, University Station, Birmingham, AL 35294-1170 |
2. | University of Alabama in Birmingham and Indiana University - Purdue University Indianapolis, United States |
[1] |
Eduardo Liz, Manuel Pinto, Gonzalo Robledo, Sergei Trofimchuk, Victor Tkachenko. Wright type delay differential equations with negative Schwarzian. Discrete and Continuous Dynamical Systems, 2003, 9 (2) : 309-321. doi: 10.3934/dcds.2003.9.309 |
[2] |
Benjamin Webb. Dynamics of functions with an eventual negative Schwarzian derivative. Discrete and Continuous Dynamical Systems, 2009, 24 (4) : 1393-1408. doi: 10.3934/dcds.2009.24.1393 |
[3] |
Michal Málek, Peter Raith. Stability of the distribution function for piecewise monotonic maps on the interval. Discrete and Continuous Dynamical Systems, 2018, 38 (5) : 2527-2539. doi: 10.3934/dcds.2018105 |
[4] |
Daniel Amin, Mikael Vejdemo-Johansson. Intrinsic disease maps using persistent cohomology. Foundations of Data Science, 2021 doi: 10.3934/fods.2021008 |
[5] |
Jean Lerbet, Noël Challamel, François Nicot, Félix Darve. Kinematical structural stability. Discrete and Continuous Dynamical Systems - S, 2016, 9 (2) : 529-536. doi: 10.3934/dcdss.2016010 |
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Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto. Escape dynamics for interval maps. Discrete and Continuous Dynamical Systems, 2019, 39 (11) : 6241-6260. doi: 10.3934/dcds.2019272 |
[7] |
M'hamed Kesri. Structural stability of optimal control problems. Communications on Pure and Applied Analysis, 2005, 4 (4) : 743-756. doi: 10.3934/cpaa.2005.4.743 |
[8] |
Christopher Cleveland. Rotation sets for unimodal maps of the interval. Discrete and Continuous Dynamical Systems, 2003, 9 (3) : 617-632. doi: 10.3934/dcds.2003.9.617 |
[9] |
Jason Atnip, Mariusz Urbański. Critically finite random maps of an interval. Discrete and Continuous Dynamical Systems, 2020, 40 (8) : 4839-4906. doi: 10.3934/dcds.2020204 |
[10] |
L'ubomír Snoha, Vladimír Špitalský. Recurrence equals uniform recurrence does not imply zero entropy for triangular maps of the square. Discrete and Continuous Dynamical Systems, 2006, 14 (4) : 821-835. doi: 10.3934/dcds.2006.14.821 |
[11] |
Pooja Bansal, Aparna Mehra. Integrated dynamic interval data envelopment analysis in the presence of integer and negative data. Journal of Industrial and Management Optimization, 2022, 18 (2) : 1339-1363. doi: 10.3934/jimo.2021023 |
[12] |
M. Zuhair Nashed, Alexandru Tamasan. Structural stability in a minimization problem and applications to conductivity imaging. Inverse Problems and Imaging, 2011, 5 (1) : 219-236. doi: 10.3934/ipi.2011.5.219 |
[13] |
Augusto Visintin. Structural stability of rate-independent nonpotential flows. Discrete and Continuous Dynamical Systems - S, 2013, 6 (1) : 257-275. doi: 10.3934/dcdss.2013.6.257 |
[14] |
Davor Dragičević. Admissibility, a general type of Lipschitz shadowing and structural stability. Communications on Pure and Applied Analysis, 2015, 14 (3) : 861-880. doi: 10.3934/cpaa.2015.14.861 |
[15] |
Augusto Visintin. Weak structural stability of pseudo-monotone equations. Discrete and Continuous Dynamical Systems, 2015, 35 (6) : 2763-2796. doi: 10.3934/dcds.2015.35.2763 |
[16] |
Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier Gómez-Serrano. Structural stability for the splash singularities of the water waves problem. Discrete and Continuous Dynamical Systems, 2014, 34 (12) : 4997-5043. doi: 10.3934/dcds.2014.34.4997 |
[17] |
Zayd Hajjej, Mohammad Al-Gharabli, Salim Messaoudi. Stability of a suspension bridge with a localized structural damping. Discrete and Continuous Dynamical Systems - S, 2022, 15 (5) : 1165-1181. doi: 10.3934/dcdss.2021089 |
[18] |
James P. Kelly, Kevin McGoff. Entropy conjugacy for Markov multi-maps of the interval. Discrete and Continuous Dynamical Systems, 2021, 41 (5) : 2071-2094. doi: 10.3934/dcds.2020353 |
[19] |
Jozef Bobok, Martin Soukenka. On piecewise affine interval maps with countably many laps. Discrete and Continuous Dynamical Systems, 2011, 31 (3) : 753-762. doi: 10.3934/dcds.2011.31.753 |
[20] |
Christopher F. Novak. Discontinuity-growth of interval-exchange maps. Journal of Modern Dynamics, 2009, 3 (3) : 379-405. doi: 10.3934/jmd.2009.3.379 |
2020 Impact Factor: 1.392
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