Andò, Alessia; Edwards, Roderick; Guglielmi, Nicola Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations. (English) Zbl 07873807 SIAM J. Appl. Dyn. Syst. 23, No. 2, 1345-1371 (2024). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 34A36 34C23 34E15 93B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nurkanović, Armin; Sperl, Mario; Albrecht, Sebastian; Diehl, Moritz Finite elements with switch detection for direct optimal control of nonsmooth systems. (English) Zbl 07872233 Numer. Math. 156, No. 3, 1115-1162 (2024). MSC: 65-XX 34A36 49M25 49Q12 65L99 49M37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gudoshnikov, Ivan; Makarenkov, Oleg; Rachinskii, Dmitrii Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input. (English) Zbl 1533.34025 ESAIM, Control Optim. Calc. Var. 29, Paper No. 84, 42 p. (2023). MSC: 34A60 34D45 93D40 47J22 74C05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Guglielmi, Nicola; Hairer, Ernst Sliding modes of high codimension in piecewise-smooth dynamical systems. (English) Zbl 07730428 Numer. Algorithms 94, No. 1, 257-273 (2023). MSC: 65-XX 34A36 34A60 34C40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hua, Duo; Liu, Xingbo Dynamical analysis in a piecewise smooth predator-prey model with predator harvesting. (English) Zbl 1519.92196 Int. J. Biomath. 16, No. 6, Article ID 2250118, 22 p. (2023). MSC: 92D25 34C37 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, William Z.; Song, Hyunjong; Czarkowski, Dariusz; Kim, Joo H. Switched electromechanical dynamics for transient phase control of brushed DC servomotor. (English) Zbl 07880313 Chaos 32, No. 12, Article ID 123119, 18 p. (2022). MSC: 37-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Marx, Swann; Pauwels, Edouard Path differentiability of ODE flows. (English) Zbl 1497.49023 J. Differ. Equations 338, 321-351 (2022). MSC: 49J52 49J15 49J45 90C56 34H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brogliato, Bernard Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems. (English) Zbl 1510.65124 J. Convex Anal. 29, No. 2, 481-517 (2022); correction ibid. 31, No. 3, 1035-1037 (2024). MSC: 65K15 65L80 49J53 34A09 34A12 34A60 90C33 × Cite Format Result Cite Review PDF Full Text: Link
Difonzo, Fabio V. Isochronous attainable manifolds for piecewise smooth dynamical systems. (English) Zbl 1497.34026 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 6, 26 p. (2022). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 34A36 34A60 65L20 34C45 × Cite Format Result Cite Review PDF Full Text: DOI
D’Ambrosio, Lorenzo; Gallo, Marco; Pugliese, Alessandro A note on the Kuramoto-Sivashinsky equation with discontinuity. (English) Zbl 1510.34034 Math. Eng. (Springfield) 3, No. 5, Paper No. 41, 29 p. (2021). Reviewer: Guglielmo Feltrin (Udine) MSC: 34A36 34C10 34D20 34C05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Luo, Jianfeng; Zhao, Yi Simulation-based study of biological systems with threshold policy by a differential linear complementarity system. (English) Zbl 1472.34094 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2130025, 21 p. (2021). MSC: 34C60 34A36 34C23 34C05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jun; Yu, Lei; Shi, Minjie Observer design for stochastic one-sided Lipschitz Lur’e differential inclusion system. (English) Zbl 1479.34093 Int. J. Comput. Math. 97, No. 3, 624-637 (2020). MSC: 34D20 34H15 × Cite Format Result Cite Review PDF Full Text: DOI
Difonzo, Fabio V. A note on attractivity for the intersection of two discontinuity manifolds. (English) Zbl 1469.34028 Opusc. Math. 40, No. 6, 685-702 (2020). MSC: 34A36 34C45 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Hamdallah, Soliman A. A.; Tang, Sanyi Stability and bifurcation analysis of Filippov food chain system with food chain control strategy. (English) Zbl 1441.34057 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1631-1647 (2020). MSC: 34C60 92D25 34A36 34C25 34D05 34H20 34H05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Brogliato, Bernard; Tanwani, Aneel Dynamical systems coupled with monotone set-valued operators: formalisms, applications, well-posedness, and stability. (English) Zbl 1450.34002 SIAM Rev. 62, No. 1, 3-129 (2020). Reviewer: Ba Khiet Le (Rancagua) MSC: 34-02 34A36 34A60 34D20 49J52 49J53 93D15 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Bertrand, Charlelie; Ture Savadkoohi, A.; Lamarque, C.-H. Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support. (English) Zbl 1437.34040 Nonlinear Dyn. 96, No. 2, 1303-1315 (2019). MSC: 34C15 34E13 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong Fractional-order PWC systems without zero Lyapunov exponents. (English) Zbl 1398.37028 Nonlinear Dyn. 92, No. 3, 1061-1078 (2018). MSC: 37D45 34A08 34C23 34A36 34D08 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Alessandro; Del Buono, Nicoletta; Lopez, Luciano; Pugliese, Alessandro Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems. (English) Zbl 1398.65159 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2911-2934 (2018). MSC: 65L05 34L99 × Cite Format Result Cite Review PDF Full Text: DOI
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. (English) Zbl 1392.34005 Nonlinear Dyn. 91, No. 4, 2523-2540 (2018). MSC: 34A08 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lopez, L.; Maset, S. Time-transformations for the event location in discontinuous ODEs. (English) Zbl 1410.65481 Math. Comput. 87, No. 313, 2321-2341 (2018). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L05 34A36 65L06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nev, O. A.; van den Berg, H. A. Microbial metabolism and growth under conditions of starvation modelled as the sliding mode of a differential inclusion. (English) Zbl 1386.34092 Dyn. Syst. 33, No. 1, 93-112 (2018). MSC: 34C60 34A60 92D25 92C45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Le Thi, Huong; Junca, Stéphane; Legrand, Mathias Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases. (English) Zbl 1386.70038 Nonlinear Anal., Hybrid Syst. 28, 54-74 (2018). MSC: 70J10 34C25 34A36 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Legrand, Mathias; Junca, Stéphane; Heng, Sokly Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law. (English) Zbl 1487.70081 Commun. Nonlinear Sci. Numer. Simul. 45, 190-219 (2017). MSC: 70J10 34C46 × Cite Format Result Cite Review PDF Full Text: DOI
Castro, Jose; Alvarez, Joaquin; Verduzco, Fernando; Palomares-Ruiz, Juan E. Chaotic behavior of driven, second-order, piecewise linear systems. (English) Zbl 1380.34031 Chaos Solitons Fractals 105, 8-13 (2017). MSC: 34A36 34C28 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Skandari, M. H. Noori; Ghaznavi, M. Optimal control approach for discontinuous dynamical systems. (English) Zbl 1386.93151 Optim. Control Appl. Methods 38, No. 6, 1004-1013 (2017). MSC: 93C15 93C30 93C10 49M15 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Guglielmi, Nicola; Hairer, Ernst Solutions leaving a codimension-\(2\) sliding. (English) Zbl 1375.34025 Nonlinear Dyn. 88, No. 2, 1427-1439 (2017). MSC: 34A36 34A09 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Thorin, Anders; Delezoide, Pierre; Legrand, Mathias Nonsmooth modal analysis of piecewise-linear impact oscillators. (English) Zbl 1427.70056 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1710-1747 (2017). MSC: 70K75 34A36 34C25 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Difonzo, Fabio The moments sliding vector field on the intersection of two manifolds. (English) Zbl 1366.34024 J. Dyn. Differ. Equations 29, No. 1, 169-201 (2017). Reviewer: Rodica Luca (Iaşi) MSC: 34A36 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Sessa, Valentina; Iannelli, Luigi; Vasca, Francesco; Acary, Vincent A complementarity approach for the computation of periodic oscillations in piecewise linear systems. (English) Zbl 1355.93076 Nonlinear Dyn. 85, No. 2, 1255-1273 (2016). MSC: 93B52 34A36 34C25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Berardi, Marco; D’Abbicco, Marcello A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks. (English) Zbl 1366.34023 Mediterr. J. Math. 13, No. 6, 4829-4844 (2016). Reviewer: Xiang Zhang (Shanghai) MSC: 34A36 34D20 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Adam, Lukáš; Červinka, Michal; Pištěk, Miroslav Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets. (English) Zbl 1338.90397 Set-Valued Var. Anal. 24, No. 2, 207-229 (2016). MSC: 90C31 90C33 65K10 34D20 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Difonzo, Fabio Minimum variation solutions for sliding vector fields on the intersection of two surfaces in \(\mathbb{R}^3\). (English) Zbl 1335.34035 J. Comput. Appl. Math. 292, 732-745 (2016). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34A36 65P99 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, L.; Elia, C.; Lopez, L. Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface. (English) Zbl 1540.34045 Math. Comput. Simul. 110, 3-14 (2015). MSC: 34A36 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, L. Sliding motion on the intersection of two manifolds: spirally attractive case. (English) Zbl 1463.34050 Commun. Nonlinear Sci. Numer. Simul. 26, No. 1-3, 65-74 (2015). MSC: 34A36 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Del Buono, Nicoletta; Lopez, Luciano Direct event location techniques based on Adams multistep methods for discontinuous ODEs. (English) Zbl 1382.65202 Appl. Math. Lett. 49, 152-158 (2015). MSC: 65L06 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Xiaogang; Kikuuwe, Ryo; Yamamoto, Motoji Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws. (English) Zbl 1350.49044 Adv. Comput. Math. 41, No. 6, 1039-1057 (2015). MSC: 49M30 49J53 86A15 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Lopez, Luciano One-sided direct event location techniques in the numerical solution of discontinuous differential systems. (English) Zbl 1338.65181 BIT 55, No. 4, 987-1003 (2015). Reviewer: Fernando Casas (Castellon) MSC: 65L05 34A36 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Danca, Marius-F. Continuous approximations of a class of piecewise continuous systems. (English) Zbl 1327.34024 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550146, 14 p. (2015). MSC: 34A36 34A60 41A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guglielmi, Nicola; Hairer, Ernst Classification of hidden dynamics in discontinuous dynamical systems. (English) Zbl 1329.34028 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1454-1477 (2015). MSC: 34A36 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Din, Q.; Donchev, T.; Nosheen, A.; Rafaqat, M. Runge-Kutta methods for differential equations with variable time of impulses. (English) Zbl 1329.65152 Numer. Funct. Anal. Optim. 36, No. 6, 777-791 (2015). MSC: 65L06 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Berardi, Marco Rosenbrock-type methods applied to discontinuous differential systems. (English) Zbl 1533.65097 Math. Comput. Simul. 95, 229-243 (2014). MSC: 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garrappa, Roberto On some generalizations of the implicit Euler method for discontinuous fractional differential equations. (English) Zbl 1533.65102 Math. Comput. Simul. 95, 213-228 (2014). MSC: 65L06 34A08 65L05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Junfeng; Han, Zhengzhi; Zhu, Fubo; Zhang, Wei Further results on adaptive full-order and reduced-order observers for Lur’e differential inclusions. (English) Zbl 1457.93052 Commun. Nonlinear Sci. Numer. Simul. 19, No. 5, 1582-1590 (2014). MSC: 93C40 93B07 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Difonzo, Fabio A comparison of Filippov sliding vector fields in codimension 2. (English) Zbl 1302.34018 J. Comput. Appl. Math. 262, 161-179 (2014); corrigendum ibid. 272, 273 (2014). Reviewer: Joseph Páez Chávez (Dresden) MSC: 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jun; Han, Zhengzhi Adaptive non-fragile observer design for the uncertain Lur’e differential inclusion system. (English) Zbl 1349.93075 Appl. Math. Modelling 37, No. 1-2, 72-81 (2013). MSC: 93B07 93C40 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Auer, Ekaterina; Kiel, Stefan; Rauh, Andreas A verified method for solving piecewise smooth initial value problems. (English) Zbl 1287.65056 Int. J. Appl. Math. Comput. Sci. 23, No. 4, 731-747 (2013). MSC: 65L05 34A34 65G40 65G20 74M10 × Cite Format Result Cite Review PDF Full Text: DOI
Depouhon, A.; Denoël, V.; Detournay, E. A drifting impact oscillator with periodic impulsive loading: application to percussive drilling. (English) Zbl 1457.70026 Physica D 258, 1-10 (2013). MSC: 70K50 34C23 37N05 70F35 34C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Miller, B. M.; Rubinovich, E. Ya. Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations. (English. Russian original) Zbl 1284.49011 Autom. Remote Control 74, No. 12, 1969-2006 (2013); translation from Avtom. Telemekh. 2013, No. 12, 56-103 (2013). MSC: 49J30 49N25 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Greenhalgh, Scott; Acary, Vincent; Brogliato, Bernard On preserving dissipativity properties of linear complementarity dynamical systems with the \(\theta\)-method. (English) Zbl 1305.65178 Numer. Math. 125, No. 4, 601-637 (2013). Reviewer: Roland Pulch (Greifswald) MSC: 65L80 65L05 34A36 90C33 34A09 65L12 × Cite Format Result Cite Review PDF Full Text: DOI
Bastien, Jérôme Convergence order of implicit Euler numerical scheme for maximal monotone differential inclusions. (English) Zbl 1281.34109 Z. Angew. Math. Phys. 64, No. 4, 955-966 (2013). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34G25 34A60 34K28 47H05 47J35 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Xiaogang; Kikuuwe, Ryo; Yamamoto, Motoji A differential algebraic method to approximate nonsmooth mechanical systems by ordinary differential equations. (English) Zbl 1266.74035 J. Appl. Math. 2013, Article ID 320276, 13 p. (2013). MSC: 74M10 34A36 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Xiaojun; Xiang, Shuhuang Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. (English) Zbl 1276.90066 Math. Program. 138, No. 1-2 (A), 579-606 (2013). Reviewer: Karel Zimmermann (Praha) MSC: 90C30 90C33 34A30 65L12 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Guglielmi, Nicola Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface. (English) Zbl 1271.34009 J. Dyn. Differ. Equations 25, No. 1, 71-94 (2013). Reviewer: Francesca Papalini (Ancona) MSC: 34A36 65L99 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Grahovac, Nenad; Zigic, Miodrag; Spasic, Dragan On impact scripts with both fractional and dry friction type of dissipation. (English) Zbl 1258.34159 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250076, 10 p. (2012). MSC: 34K60 26A33 70F40 34K09 34K30 74D99 × Cite Format Result Cite Review PDF Full Text: DOI
Adly, Samir; Goeleven, Daniel; Le, Ba Khiet Stability analysis and attractivity results of a DC-DC Buck converter. (English) Zbl 1279.34058 Set-Valued Var. Anal. 20, No. 3, 331-353 (2012). Reviewer: Vasile Lupulescu (Târgu Jiu) MSC: 34C60 49J53 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Schindler, Thorsten; Ulbrich, Heinz; Pfeiffer, Friedrich; van der Velde, Arie; Brandsma, Arjen Spatial simulation of pushbelt CVTs with time-stepping schemes. (English) Zbl 1295.70005 Appl. Numer. Math. 62, No. 10, 1515-1530 (2012). MSC: 70E55 65L06 34A36 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Lopez, Luciano A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side. (English) Zbl 1246.65111 J. Comput. Appl. Math. 236, No. 16, 3967-3991 (2012). MSC: 65L05 34A34 65-02 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Lopez, Luciano Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field. (English) Zbl 1219.34015 Numer. Math. 117, No. 4, 779-811 (2011). Reviewer: Igor Andrianov (Köln) MSC: 34A36 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dieci, Luca; Lopez, Luciano Fundamental matrix solutions of piecewise smooth differential systems. (English) Zbl 1215.65121 Math. Comput. Simul. 81, No. 5, 932-953 (2011). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 34A36 74M10 × Cite Format Result Cite Review PDF Full Text: DOI
Fusco, Giorgio; Guglielmi, Nicola A regularization for discontinuous differential equations with application to state-dependent delay differential equations of neutral type. (English) Zbl 1218.34012 J. Differ. Equations 250, No. 7, 3230-3279 (2011). Reviewer: Panagiotis Ch. Tsamatos (Ioannina) MSC: 34A36 34K26 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Brogliato, Bernard; Goeleven, Daniel Well-posedness, stability and invariance results for a class of multivalued Lur’e dynamical systems. (English) Zbl 1204.49023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 195-212 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49K40 34D20 × Cite Format Result Cite Review PDF Full Text: DOI HAL