Šepitka, Peter; Šimon Hilscher, Roman New existence results for conjoined bases of singular linear Hamiltonian systems with given Sturmian properties. (English) Zbl 07960790 Linear Algebra Appl. 707, 187-224 (2025). MSC: 34C10 × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Shiyou; Xu, Weijiao Bounding the number of limit cycles for perturbed piecewise linear Hamiltonian system. (English) Zbl 07941014 J. Math. Anal. Appl. 542, No. 2, Article ID 128866, 14 p. (2025). Reviewer: Xingwu Chen (Chengdu) MSC: 34A36 34A30 37J40 34C07 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Nicodemus, Jonas; Voigt, Matthias; Gugercin, Serkan; Unger, Benjamin KLAP: KYP lemma based low-rank approximation for \(\mathcal{H}_2\)-optimal passivation. arXiv:2501.05178 Preprint, arXiv:2501.05178 [math.OC] (2025). MSC: 37J06 37M99 65P10 93A30 93B30 93C05 × Cite Format Result Cite Full Text: arXiv
Gérard, Patrick; Pushnitski, Alexander; Treil, Sergei An inverse spectral problem for non-compact Hankel operators with simple spectrum. (English) Zbl 07965873 J. Anal. Math. 154, No. 1, 333-400 (2024). MSC: 47Bxx 35Bxx 37Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choudhary, Neelam; Gillis, Nicolas; Sharma, Punit Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach. (English) Zbl 07955129 Linear Multilinear Algebra 72, No. 17, 2984-2999 (2024). MSC: 93Bxx 93Dxx 93Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phatangare, Nanasaheb; Masalkar, Krishnat; Kendre, Subhash Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle. (English) Zbl 07954334 J. Difference Equ. Appl. 30, No. 12, 1900-1922 (2024). MSC: 37G05 37G10 37G15 37E05 37G35 37H20 37J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Šepitka, Peter; Šimon Hilscher, Roman Contributions to generalized oscillation theory of linear Hamiltonian systems. (English) Zbl 07941059 Result. Math. 79, No. 8, Paper No. 263, 47 p. (2024). Reviewer: Abdullah Özbekler (Ankara) MSC: 34C10 34A30 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Cherifi, Karim; Gernandt, Hannes; Hinsen, Dorothea; Mehrmann, Volker On discrete-time dissipative port-Hamiltonian (descriptor) systems. (English) Zbl 07927386 Math. Control Signals Syst. 36, No. 3, 561-599 (2024). MSC: 93C15 34A09 93C28 93C55 15A39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komyo, Arata Description of generalized isomonodromic deformations of rank-two linear differential equations using apparent singularities. (English) Zbl 07926276 Publ. Res. Inst. Math. Sci. 60, No. 1, 185-269 (2024). MSC: 34M56 34M55 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sfyris, Dimitris Classical elastodynamics as a linear symmetric hyperbolic system in terms of \((\mathbf{u}_{\mathbf{x}}, \mathbf{u}_t)\). (English) Zbl 07919153 J. Elasticity 156, No. 2, 525-548 (2024). MSC: 74B05 74B99 35L02 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Salhi, Tayeb Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems. (English) Zbl 07896262 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 4, 279-286 (2024). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34A36 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: Link Link
Berbache, Aziza; Tababouchet, Ines Four crossing limit cycles of a family of discontinuous piecewise linear systems with three zones separated by two parallel straight lines. (English) Zbl 07873928 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 50, 29 p. (2024). MSC: 34C07 34A36 34A30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Note on singular Sturm comparison theorem and strict majorant condition. (English) Zbl 07867877 J. Math. Anal. Appl. 538, No. 2, Article ID 128391, 16 p. (2024). Reviewer: Qiru Wang (Guangzhou) MSC: 34C10 37J06 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Pavlenko, V. A. Solutions of analogs of time-dependent Schrödinger equations corresponding to a pair of \(H^{2+2+1}\) Hamiltonian systems in the hierarchy of degenerations of an isomonodromic Garnier system. (English) Zbl 1537.35158 Differ. Equ. 60, No. 1, 77-90 (2024). MSC: 35F35 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yuan; Si, Wen Reducibility in a certain matrix Lie algebra for smooth linear quasi-periodic system. (English) Zbl 1546.34094 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 97, 30 p. (2024). MSC: 34C27 34C20 34C46 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Frenkel, Edward; Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz. (English) Zbl 1534.82005 J. Eur. Math. Soc. (JEMS) 26, No. 1, 355-405 (2024). MSC: 82B23 82D40 17B80 14D24 81R50 22E10 39A06 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Menezes Neto, José Laudelino Investigation of the nonlinear stability of a pendulum with variable length in elliptic orbit. (English) Zbl 1542.70017 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1611-1623 (2024). Reviewer: Lennard Bakker (Provo) MSC: 70K20 70J25 70H14 70H08 70M20 × Cite Format Result Cite Review PDF Full Text: DOI
Braga, Denis de Carvalho; da Fonseca, Alexander Fernandes; Mello, Luis Fernando; Ribeiro, Ronisio Moises; Pessoa, Claudio Gomes Crossing limit cycles bifurcating from two or three period annuli in discontinuous planar piecewise linear Hamiltonian differential systems with three zones. (English) Zbl 1543.34024 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 10, Article ID 2350123, 17 p. (2023). MSC: 34C05 34C07 34C23 34A36 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Dřímalová, Iva Extremal solutions at infinity for symplectic systems on time scales. II: Existence theory and limit properties. (English) Zbl 07812187 Differ. Equ. Appl. 15, No. 3, 179-213 (2023). MSC: 34N05 34C10 34A30 37J65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jie; Yu, Jiahui; Chen, Alatancang On the point spectrum and non-degenerate symplectic structure of eigenfunction systems of off-diagonal infinite dimensional Hamiltonian operators. (English) Zbl 07808398 J. Math. Res. Appl. 43, No. 6, 710-722 (2023). MSC: 47B93 47A08 47A25 47B02 × Cite Format Result Cite Review PDF Full Text: DOI
Guyenne, Philippe; Kairzhan, Adilbek; Sulem, Catherine Normal form transformations for modulated deep-water gravity waves. (English) Zbl 1532.76018 Rev. Unión Mat. Argent. 64, No. 2, 281-308 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Ortega, Juan-Pablo; Yin, Daiying Expressiveness and structure preservation in learning port-Hamiltonian systems. (English) Zbl 1533.93082 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 313-322 (2023). MSC: 93B10 93B05 93B07 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiu, Zhiping; Wang, Zhao; Zhu, Bo A symplectic finite element method based on Galerkin discretization for solving linear systems. (English) Zbl 1533.74082 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 8, 1305-1316 (2023). MSC: 74S05 74S20 74H45 74K10 74K20 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Generalized focal points and local Sturmian theory for linear Hamiltonian systems. (English) Zbl 1530.37089 Discrete Contin. Dyn. Syst. 43, No. 12, 4139-4173 (2023). MSC: 37J51 37J12 34C10 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Shuo; Sun, Huaqing; Yang, Chen Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint. (English) Zbl 07750709 Math. Nachr. 296, No. 9, 4169-4191 (2023). MSC: 47A06 47A20 47A07 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Claudia The 16th Hilbert problem for discontinuous piecewise linear differential systems separated by the algebraic curve \(y = x^n\). (English) Zbl 1533.34030 Math. Phys. Anal. Geom. 26, No. 4, Paper No. 25, 9 p. (2023). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34A36 34A30 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Zemánek, Petr Non-limit-circle and limit-point criteria for symplectic and linear Hamiltonian systems. (English) Zbl 1528.37045 Math. Nachr. 296, No. 1, 434-459 (2023). MSC: 37J06 34B20 34N05 × Cite Format Result Cite Review PDF Full Text: DOI
Qais, Imrul; Bhawal, Chayan; Pal, Debasattam Optimal singular LQR problem: a PD feedback solution. (English) Zbl 1522.49033 SIAM J. Control Optim. 61, No. 4, 2655-2681 (2023). MSC: 49N10 49N25 49N35 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Borja, Pablo; Scherpen, Jacquelien M. A.; Fujimoto, Kenji Extended balancing of continuous LTI systems: a structure-preserving approach. (English) Zbl 1541.93144 IEEE Trans. Autom. Control 68, No. 1, 257-271 (2023). MSC: 93C05 93B11 93B70 93B05 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noble, Pascal; Miguel Rodrigues, Luis; Sun, Changzhen Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system. (English) Zbl 1521.35028 Nonlinearity 36, No. 9, 4615-4640 (2023). MSC: 35B35 35C07 35B10 35P05 35Q35 37K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alberti, Angelo Symmetric periodic orbits in the Hamiltonian galactic-tidal models. (English) Zbl 1521.70021 Celest. Mech. Dyn. Astron. 135, No. 3, Paper No. 36, 22 p. (2023). MSC: 70H12 70H14 70F15 85A05 × Cite Format Result Cite Review PDF Full Text: DOI
Aktosun, Tuncay; Ercan, Ramazan; Unlu, Mehmet The Marchenko method to solve the general system of derivative nonlinear Schrödinger equations. (English) Zbl 1520.35036 J. Math. Phys. 64, No. 7, Article ID 073502, 41 p. (2023). MSC: 35G50 35Q55 37K15 45F15 45A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morandin, Riccardo; Nicodemus, Jonas; Unger, Benjamin Port-Hamiltonian dynamic mode decomposition. (English) Zbl 1523.37086 SIAM J. Sci. Comput. 45, No. 4, A1690-A1710 (2023). MSC: 37M99 37N35 65P10 93B30 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Himonas, A. Alexandrou; Yan, Fangchi The Majda-Biello system on the half-line. (English) Zbl 1523.35246 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023). Reviewer: Igor Leite Freire (São Carlos) MSC: 35Q35 35Q53 35G31 35G16 37K10 35A01 35A02 35B65 76U65 86A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breiten, Tobias; Karsai, Attila Structure-preserving \(\mathcal{H}_{\infty}\) control for port-Hamiltonian systems. (English) Zbl 1519.93063 Syst. Control Lett. 174, Article ID 105493, 11 p. (2023). MSC: 93B36 93B70 93B11 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barchiesi, Emilio; dell’Isola, Francesco; Seppecher, Pierre; Turco, Emilio A beam model for duoskelion structures derived by asymptotic homogenization and its application to axial loading problems. (English) Zbl 1514.74064 Eur. J. Mech., A, Solids 98, Article ID 104848, 21 p. (2023). MSC: 74K99 74K10 74Q05 74Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Paşaoğlu, Bilender; Tuna, Hüseyin Hahn-Hamiltonian systems. (English) Zbl 1523.39003 Turk. J. Math. 47, No. 1, 317-332 (2023). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 39A12 39A13 39A70 34B27 47B25 34L10 46A22 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems. (English) Zbl 1511.37061 Monatsh. Math. 200, No. 2, 359-387 (2023). MSC: 37J12 37N35 34C10 34B24 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Kunkel, Peter; Mehrmann, Volker Local and global canonical forms for differential-algebraic equations with symmetries. (English) Zbl 1521.34012 Vietnam J. Math. 51, No. 1, 177-198 (2023). Reviewer: Gabriel Thomas (Grenoble) MSC: 34A09 34C20 34C14 37J99 70H05 34A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jäschke, Jens; Skrepek, Nathanael; Ehrhardt, Matthias Mixed-dimensional geometric coupling of port-Hamiltonian systems. (English) Zbl 1524.70075 Appl. Math. Lett. 137, Article ID 108508, 7 p. (2023). MSC: 70Q05 93B28 93C20 37K10 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Philipp, Friedrich; Reis, Timo; Schaller, Manuel Infinite-dimensional port-Hamiltonian systems – a system node approach. arXiv:2302.05168 Preprint, arXiv:2302.05168 [math.AP] (2023). MSC: 37Kxx 47Dxx 93C20 × Cite Format Result Cite Full Text: arXiv
Sukhov, Egor A.; Volkov, Evgeniy V. Numerical orbital stability analysis of nonresonant periodic motions in the planar restricted four-body problem. (English) Zbl 1531.70014 Russ. J. Nonlinear Dyn. 18, No. 4, 563-576 (2022). Reviewer: Lennard Bakker (Provo) MSC: 70F10 70H14 70H12 70-08 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Benterki, R.; Damene, L.; Baymout, L. The solution of the second part of the 16th Hilbert problem for a class of piecewise linear Hamiltonian saddles separated by conics. (English) Zbl 1524.34086 Nonlinear Dyn. Syst. Theory 22, No. 3, 231-242 (2022). MSC: 34C07 34A36 34A30 × Cite Format Result Cite Review PDF Full Text: Link
Belichenko, M. V. On the orbital stability of pendulum-type motions in the approximate problem of Kovalevskaya top dynamics with a vibrating suspension point. (English. Russian original) Zbl 1527.70007 Mech. Solids 57, No. 7, 1607-1619 (2022); translation from Prikl. Mat. Mekh. 86, No. 2, 169-185 (2022). MSC: 70E50 70E17 × Cite Format Result Cite Review PDF Full Text: DOI
Imomov, A’zam Abdurakhimovich; Bozorov, Islom Namozovich; Khurramov, Abdimazhid Molikovich On the number of eigenvalues of a model operator on a one-dimensional lattice. (Russian. English summary) Zbl 1506.81027 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2022, No. 78, 22-37 (2022). MSC: 81Q10 47A15 47A75 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Muradyan, M. G. On the construction of general solution to an unstable system of differential equations. (English. Russian original) Zbl 1499.34100 J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 5, 296-302 (2022); translation from Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 5, 44-54 (2022). MSC: 34A30 70H05 85A25 × Cite Format Result Cite Review PDF Full Text: DOI
Sima, Vasile; Gahinet, Pascal Alternating implicit and semi-implicit iterations in the periodic QZ algorithm. (English) Zbl 1504.93142 Gusikhin, Oleg (ed.) et al., Informatics in control, automation and robotics. 17th international conference, ICINCO 2020, Lieusaint, Paris, France, July 7–9, 2020. Revised selected papers. Cham: Springer. Lect. Notes Electr. Eng. 793, 47-71 (2022). MSC: 93B60 93B25 93-08 × Cite Format Result Cite Review PDF Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones. (English) Zbl 1514.34034 São Paulo J. Math. Sci. 16, No. 2, 932-956 (2022). Reviewer: Alois Steindl (Wien) MSC: 34A36 34A30 34C37 34C05 34C07 34C23 34E10 37J46 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Jimenez, Johana; Llibre, Jaume; Valls, Claudia Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by nonregular curves. (English) Zbl 1537.34029 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250184, 23 p. (2022). MSC: 34A36 34C05 34A30 37J20 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones. (English) Zbl 1513.34140 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 27, 19 p. (2022). MSC: 34C05 34A36 34A30 34C07 37J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhengkang; Liu, Xingbo Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. (English) Zbl 1507.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C05 34A36 34C07 37J46 34A30 34D20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems. (English) Zbl 1506.37118 Ann. Mat. Pura Appl. (4) 201, No. 5, 2121-2136 (2022). MSC: 37N35 37J25 37J65 34H05 93B05 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Güdücü, Candan; Liesen, Jörg; Mehrmann, Volker; Szyld, Daniel B. On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs. (English) Zbl 1501.65026 SIAM J. Sci. Comput. 44, No. 4, A2871-A2894 (2022). MSC: 65L80 65P10 65F10 93A15 93B11 93B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Yiyun; Tang, Maoning; Meng, Qingxin A mean-field stochastic linear-quadratic optimal control problem with jumps under partial information. (English) Zbl 1498.93795 ESAIM, Control Optim. Calc. Var. 28, Paper No. 53, 33 p. (2022). MSC: 93E20 49N10 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones. (English) Zbl 1504.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34A36 34C23 34C05 34E10 37J40 34C20 34C07 34A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kirchhoff, Jonas Linear port-Hamiltonian systems are generically controllable. (English) Zbl 1537.93090 IEEE Trans. Autom. Control 67, No. 6, 3220-3222 (2022). MSC: 93B05 93C15 93C05 93B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Zhiping; Zhang, Duanzhi; Zhou, Yuting; Zhu, Chaofeng Some progress on minimal period problems in reversible semi-positive Hamiltonian systems. (English) Zbl 1513.70061 J. Differ. Equations 334, 490-519 (2022). MSC: 70H05 34C25 58E05 53D12 58J30 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zi-Xue; Jiang, Yao-Lin; Xu, Kang-Li Riemannian optimization model order reduction method for general linear port-Hamiltonian systems. (English) Zbl 1496.93026 IMA J. Math. Control Inf. 39, No. 2, 590-608 (2022). MSC: 93B11 93B70 93C05 49Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Breiten, Tobias; Unger, Benjamin Passivity preserving model reduction via spectral factorization. (English) Zbl 1494.93024 Automatica 142, Article ID 110368, 12 p. (2022). MSC: 93B11 93B70 93D20 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breiten, Tobias; Morandin, Riccardo; Schulze, Philipp Error bounds for port-Hamiltonian model and controller reduction based on system balancing. (English) Zbl 1524.93007 Comput. Math. Appl. 116, 100-115 (2022). MSC: 93B11 93E20 93E11 93B70 93C05 49N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manita, Larisa; Ronzhina, Mariya Optimal spiral-like solutions near a singular extremal in a two-input control problem. (English) Zbl 1543.49002 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3325-3343 (2022). Reviewer: Savin Treanţă (Bucureşti) MSC: 49J10 49N60 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaolei; Xiong, Yanqin; Zhang, Yi The number of limit cycles by perturbing a piecewise linear system with three zones. (English) Zbl 1501.34021 Commun. Pure Appl. Anal. 21, No. 5, 1833-1855 (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C05 34C07 34E10 34C23 37J40 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Li; Sun, Huaqing On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint. (English) Zbl 1496.37056 Linear Algebra Appl. 645, 9-29 (2022). MSC: 37J06 34L05 47A55 47A12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yanpeng; Jiang, Yaolin; Yang, Ping Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians. (English) Zbl 1510.93057 Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022). MSC: 93B11 65P10 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yu; Liu, Hao; Wong, Tak Kwong Regularity structure of conservative solutions to the Hunter-Saxton equation. (English) Zbl 1482.35059 SIAM J. Math. Anal. 54, No. 1, 423-452 (2022). MSC: 35B65 35A21 37K10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pankaj, RamDayal; Lal, Chiman Numerical elucidation of Klein-Gordon-Zakharov system. (English) Zbl 07750594 Jñānābha 51, No. 1, 207-212 (2021). MSC: 65P10 35M11 37M15 × Cite Format Result Cite Review PDF Full Text: DOI
Briozzo, Carlos B. A generic impulsive controller for Hamiltonian linear time-periodic systems. (English) Zbl 1498.70026 Chaos Solitons Fractals 153, Part 1, Article ID 111557, 29 p. (2021). MSC: 70H12 34C25 34H05 37N35 70Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Jacob, Birgit; Kaiser, Julia T.; Zwart, Hans Riesz bases of port-Hamiltonian systems. (English) Zbl 1487.37081 SIAM J. Control Optim. 59, No. 6, 4646-4665 (2021). MSC: 37K06 35P10 47B06 47D06 35L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jacob, Birgit; Laasri, Hafida Well-posedness of infinite-dimensional non-autonomous passive boundary control systems. (English) Zbl 1480.93195 Evol. Equ. Control Theory 10, No. 2, 385-409 (2021). MSC: 93C20 93C25 93C35 93B70 47D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yueqin; Shen, Jianhua Lyapunov inequalities of impulsive linear Hamilton system. (Chinese. English summary) Zbl 1499.37095 J. Hangzhou Norm. Univ., Nat. Sci. 20, No. 3, 289-294 (2021). MSC: 37J25 15A39 × Cite Format Result Cite Review PDF Full Text: DOI
Grivet-Talocia, Stefano; Silveira, Luis Miguel Post-processing methods for passivity enforcement. (English) Zbl 1480.93305 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 139-179 (2021). MSC: 93D05 93B11 93C05 93C73 × Cite Format Result Cite Review PDF Full Text: DOI
Tashpulatov, S. M. Structure of essential spectrum and discrete spectrum of the energy operator of five-electron systems in the Hubbard model – doublet states. (English) Zbl 1480.81060 Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 275-301 (2021). MSC: 81Q35 81V10 62M15 46L60 47L90 70H06 70F10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Fazzi, Antonio; Guglielmi, Nicola; Lubich, Christian Finding the nearest passive or nonpassive system via Hamiltonian eigenvalue optimization. (English) Zbl 1483.65097 SIAM J. Matrix Anal. Appl. 42, No. 4, 1553-1580 (2021). MSC: 65K05 93B60 93C05 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchwald, S.; Ciaramella, G.; Salomon, J. Analysis of a greedy reconstruction algorithm. (English) Zbl 1485.65065 SIAM J. Control Optim. 59, No. 6, 4511-4537 (2021). MSC: 65K10 81Q93 49N10 49N45 93B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galashin, Pavel Periodicity and integrability for the cube recurrence. (English) Zbl 1479.13026 Math. Z. 299, No. 3-4, 1533-1563 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 37K10 05E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kozlov, V. V. Linear system of differential equations with a quadratic invariant as the Schrödinger equation. (English. Russian original) Zbl 1482.37068 Dokl. Math. 103, No. 1, 39-43 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 48-52 (2021). MSC: 37K10 37K06 35G35 35Q51 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Cruz Araujo, Gerson; Cabral, Hildeberto E. Parametric stability of a charged pendulum with an oscillating suspension point. (English) Zbl 1493.70066 Regul. Chaotic Dyn. 26, No. 1, 39-60 (2021). MSC: 70H14 70J25 70J40 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Zhiping; Jiang, Nan A symplectic conservative perturbation series expansion method for linear Hamiltonian systems with perturbations and its applications. (English) Zbl 1488.74077 Adv. Appl. Math. Mech. 13, No. 6, 1535-1557 (2021). MSC: 74H15 37N15 65P10 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. Methods for studying the stability of linear periodic systems depending on a small parameter. (English. Russian original) Zbl 1484.34060 J. Math. Sci., New York 258, No. 1, 115-127 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 113-126 (2019). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34A30 34D20 34E10 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Chen; Sun, Huaqing Essential spectra of singular Hamiltonian differential operators of arbitrary order under a class of perturbations. (English) Zbl 1489.34121 Stud. Appl. Math. 147, No. 1, 209-229 (2021). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34L05 47E05 47A55 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval. (English) Zbl 1478.37057 J. Differ. Equations 298, 1-29 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J06 37J51 34B24 37N35 15A10 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Chen; Sun, Huaqing Friedrichs extensions of a class of singular Hamiltonian systems. (English) Zbl 07379511 J. Differ. Equations 293, 359-391 (2021). MSC: 47H06 47B25 34B05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaofei; Liu, Chungen Minimal period estimates on \(P\)-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems. (English) Zbl 1478.37064 Front. Math. China 16, No. 1, 239-253 (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37J51 34B05 58E05 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Gillis, Nicolas; Sharma, Punit Minimal-norm static feedbacks using dissipative Hamiltonian matrices. (English) Zbl 1467.93250 Linear Algebra Appl. 623, 258-281 (2021). MSC: 93D15 93C15 93C05 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Yanxia; Xia, Zhihong Instability of periodic orbits by Conley-Zehnder index theory. (English) Zbl 1467.37056 Proc. Am. Math. Soc. 149, No. 6, 2461-2472 (2021). Reviewer: Mohsen Timoumi (Monastir) MSC: 37J46 37J25 37J51 37J06 37J39 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Shan; Woolley, Matthew J.; Petersen, Ian R.; Yamamoto, Naoki Linear open quantum systems with passive Hamiltonians and a single local dissipative process. (English) Zbl 1461.81062 Automatica 125, Article ID 109477, 11 p. (2021). MSC: 81S22 81Q05 81R20 81R30 81Q15 47B44 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Peixing; Yang, Yuan; Yu, Jiang Up to second order Melnikov functions for general piecewise Hamiltonian systems with nonregular separation line. (English) Zbl 1469.34049 J. Differ. Equations 285, 583-606 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34E10 34C23 34A36 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Cabral, Hildeberto E.; Carvalho, Adecarlos C. Parametric stability of a charged pendulum with oscillating suspension point. (English) Zbl 1479.70049 J. Differ. Equations 284, 23-38 (2021). Reviewer: Girish Kumar Ramaiah (Bangalore) MSC: 70H14 70J40 70J25 × Cite Format Result Cite Review PDF Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Distribution and number of focal points for linear Hamiltonian systems. (English) Zbl 1460.37082 Linear Algebra Appl. 611, 26-45 (2021). MSC: 37N35 34L15 37J37 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Novak, Tina; Žerovnik, Janez Real forms of the complex Neumann system: a method for finding real roots of polynomial \(U_{\mathcal{S}} ( \lambda )\). (English) Zbl 1457.37079 J. Comput. Appl. Math. 390, Article ID 113362, 14 p. (2021). MSC: 37J39 37J35 15A06 26C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Min; Li, Na; Wu, Zhen Linear-quadratic mean-field game for stochastic large-population systems with jump diffusion. (English) Zbl 1544.93768 IET Control Theory Appl. 14, No. 3, 481-489 (2020). MSC: 93E03 93A15 49N80 49N10 91A16 × Cite Format Result Cite Review PDF Full Text: DOI
Szalai, Robert Invariant spectral foliations with applications to model order reduction and synthesis. (English) Zbl 1517.70039 Nonlinear Dyn. 101, No. 4, 2645-2669 (2020). MSC: 70K42 70H33 93B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paşaoğlu, Bilender; Tuna, Hüseyin \(q\)-Hamiltonian systems. (English) Zbl 1496.39004 Turk. J. Math. 44, No. 6, 2241-2258 (2020). MSC: 39A13 39A70 34B27 47B25 34L10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Mehrmann, V.; Van Dooren, P. Optimal robustness of passive discrete-time systems. (English) Zbl 1472.93112 IMA J. Math. Control Inf. 37, No. 4, 1248-1269 (2020). MSC: 93C55 93B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zemánek, Petr Linear operators associated with differential and difference systems: what is different? (English) Zbl 1472.39040 Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 435-448 (2020). MSC: 39A70 39A12 37J70 37J11 34L05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chungen; Zhong, Yuyou Existence and multiplicity of periodic solutions for nonautonomous second-order discrete Hamiltonian systems. (English) Zbl 1488.39006 Constr. Math. Anal. 3, No. 4, 178-188 (2020). MSC: 39A12 47B39 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jie; Huang, Junjie; Chen, Alatancang Semigroup generations of unbounded block operator matrices based on the space decomposition. (English) Zbl 1496.47005 Oper. Matrices 14, No. 2, 295-304 (2020). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 47A08 47D03 47B99 37K99 × Cite Format Result Cite Review PDF Full Text: DOI
Bulatović, Ranislav M. On the stability and instability criteria for circulatory systems: a review. (English) Zbl 1474.70032 Theor. Appl. Mech. (Belgrade) 47, No. 2, 169-179 (2020). MSC: 70J25 70H14 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Zhaowen; Shao, Jing Limit point, strong limit point and Dirichlet conditions for discrete Hamiltonian systems. (English) Zbl 1461.39004 J. Appl. Anal. Comput. 10, No. 3, 875-891 (2020). MSC: 39A12 39A70 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan On a discretization of confocal quadrics. A geometric approach to general parametrizations. (English) Zbl 1466.37056 Int. Math. Res. Not. 2020, No. 24, 10180-10230 (2020). Reviewer: Paul Melotti (Paris) MSC: 37K25 39A36 37K60 51A50 51A15 51A45 51B05 51E14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv