Chehab, Jean-Paul; Oviedo, Harry; Raydan, Marcos Optimization schemes on manifolds for structured matrices with fixed eigenvalues. (English) Zbl 07971692 Comput. Optim. Appl. 90, No. 1, 1-26 (2025). MSC: 90Cxx 15A29 65F18 15A83 15B10 05C50 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael Rapid GPU-assisted search and parameterization-based refinement and continuation of connections between tori in periodically perturbed planar circular restricted 3-body problems. (English) Zbl 07971547 SIAM J. Appl. Dyn. Syst. 24, No. 1, 219-258 (2025). MSC: 70F07 70H12 70K44 70-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Si-Qi; Wang, Zhe; Zhang, Youjin Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds. (English) Zbl 07966475 Adv. Math. 460, Article ID 110046, 32 p. (2025). MSC: 53D45 37K25 37K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsvetkova, Anna V. Lagrangian manifolds in the theory of wave beams and solutions of the Helmholtz equation. (English) Zbl 07983744 Regul. Chaotic Dyn. 29, No. 6, 866-885 (2024). MSC: 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chandra, Vinod; Lal, Shankar On Lorentzian para-Kenmotsu manifolds within the framework of Zamkovoy canonical paracontact connection. (English) Zbl 07969899 Gaṇita 74, No. 2, 143-154 (2024). MSC: 53D12 53C15 53D10 53C25 53A30 × Cite Format Result Cite Review PDF Full Text: Link
Kruglikov, Boris; Makhmali, Omid Zero-curvature subconformal structures and dispersionless integrability in dimension five. (English) Zbl 07963340 J. Lond. Math. Soc., II. Ser. 110, No. 6, Article ID e70026, 41 p. (2024). MSC: 35A30 35L70 37K10 53C25 53C28 58A20 58J60 14D21 32L25 35Q75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morozov, O. I. Lax representations for the Euler ideal hydrodynamics equation in vorticity form on a two-dimensional Riemannian manifold. (English) Zbl 07944305 J. Geom. Phys. 206, Article ID 105299, 5 p. (2024). MSC: 37K10 37K25 35Q31 76B03 76B25 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Geiersbach, Caroline; Suchan, Tim; Welker, Kathrin Stochastic augmented Lagrangian method in Riemannian shape manifolds. (English) Zbl 07942668 J. Optim. Theory Appl. 203, No. 1, 165-195 (2024). Reviewer: Fabián Flores-Bazan (Concepción) MSC: 49Q10 60H35 35R15 49K20 41A25 60H15 60H30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magnot, Jean-Pierre; Reyes, Enrique G.; Rubtsov, Vladimir Towards a theory of homotopy structures for differential equations: first definitions and examples. (English) Zbl 07941402 J. Differ. Equations 413, 805-827 (2024). MSC: 37K58 37K30 55S30 55P43 58A20 58J10 × Cite Format Result Cite Review PDF Full Text: DOI
Batov, A. V.; Galyaev, I. A.; Kostiuchek, M. I.; Salnikov, A. M. Some features of the modified solid-liquid-vapor equation of state. (English) Zbl 1549.76238 Lobachevskii J. Math. 45, No. 5, 1905-1916 (2024). MSC: 76T30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Di Analytic theory of Legendre-type transformations for a Frobenius manifold. (English) Zbl 07935238 Commun. Math. Phys. 405, No. 10, Paper No. 234, 50 p. (2024). MSC: 37K25 37K10 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hailong; Ma, Junwei; Meng, Guowu; Xiao, Jiazhuo On Fock transform and Moser regularization map. (English) Zbl 1547.70011 J. Geom. Symmetry Phys. 68, 43-57 (2024). MSC: 70F05 70G45 37J06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Si-Qi; Qu, Haonan; Wang, Yuewei; Zhang, Youjin Solutions of the loop equations of a class of generalized Frobenius manifolds. (English) Zbl 07923628 Commun. Math. Phys. 405, No. 10, Paper No. 225, 47 p. (2024). MSC: 37K10 37K25 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esen, Oğul; Gezici, Ayten; Gümral, Hasan Variational aspect and kinetic theory of locally conformal dynamics. (English) Zbl 07909770 J. Phys. A, Math. Theor. 57, No. 36, Article ID 365201, 37 p. (2024). MSC: 37J39 37J51 70G45 70G75 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
Balandin, A. V. Cosymmetries of chiral-type systems. (English. Russian original) Zbl 1547.37085 Theor. Math. Phys. 219, No. 3, 992-1003 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 531-544 (2024). MSC: 37K30 37K10 37K25 58J60 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Gündüzalp, Yılmaz; Polat, Murat Lagrangian and Clairaut anti-invariant semi-Riemannian submersions in para-Kaehler geometry. (English) Zbl 07905415 Bol. Soc. Parana. Mat. (3) 42, Paper No. 136, 12 p. (2024). MSC: 53C15 53C40 × Cite Format Result Cite Review PDF Full Text: DOI
Giuliani, Filippo; Guardia, Marcel Arnold diffusion in Hamiltonian systems on infinite lattices. (English) Zbl 07896923 Commun. Pure Appl. Math. 77, No. 8, 3333-3426 (2024). MSC: 37J40 37J25 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khesin, Boris The Euler non-mixing made easy. (English) Zbl 1545.35096 Nonlinearity 37, No. 9, Article ID 095025, 6 p. (2024). MSC: 35Q31 76B03 37K06 57Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Podobryaev, A. V. Sub-Lorentzian extremals defined by an antinorm. (English) Zbl 1546.49046 Differ. Equ. 60, No. 3, 361-373 (2024). Reviewer: Tihomir Valchev (Sofia) MSC: 49K30 22E15 53C17 53C50 37J37 37J39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salvai, Marcos A split special Lagrangian calibration associated with frame vorticity. (English) Zbl 1542.49035 Adv. Calc. Var. 17, No. 3, 545-557 (2024). MSC: 49Q20 53C30 53C38 53D12 58J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yang; Tosatti, Valentino Special Kähler geometry and holomorphic Lagrangian fibrations. (Géométrie Kählérienne spéciale et fibrations Lagrangiennes holomorphes.) (English. French summary) Zbl 07863260 C. R., Math., Acad. Sci. Paris 362, No. S1, 171-196 (2024). Reviewer: Quanting Zhao (Wuhan) MSC: 14J10 53C12 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwon, Oh-Ran; Lu, Zhaosong; Zou, Hui Exactly uncorrelated sparse principal component analysis. (English) Zbl 07862319 J. Comput. Graph. Stat. 33, No. 1, 231-241 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Katsanikas, Matthaios; Wiggins, Stephen 2D generating surfaces and dividing surfaces in Hamiltonian systems with three degrees of freedom. (English) Zbl 1546.37110 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 1, Article ID 2430002, 13 p. (2024). MSC: 37J46 37J20 37J25 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Gonzalez Montoya, Francisco; Katsanikas, Matthaios; Wiggins, Stephen Periodic orbit dividing surfaces in a quartic Hamiltonian system with three degrees of freedom. I. (English) Zbl 1546.37106 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2430011, 11 p. (2024). MSC: 37J46 37J40 37D10 37J20 × Cite Format Result Cite Review PDF Full Text: DOI
Dohnal, Tomáš; Pelinovsky, Dmitry E.; Schneider, Guido Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media. (English) Zbl 1537.35138 Nonlinearity 37, No. 5, Article ID 055005, 36 p. (2024). MSC: 35C07 35C20 35L71 37K50 37L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Contreras, Gonzalo; Estrada, Yuriria Homogenization on arbitrary manifolds proof with test functions. (English) Zbl 1547.35180 Discrete Contin. Dyn. Syst. 44, No. 6, 1781-1809 (2024). Reviewer: Abderrazek Benhassine (Monastir) MSC: 35F21 35B27 35R01 49L25 37J51 70H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Juan; Chen, Xueting Periodic solutions for second-order even and noneven Hamiltonian systems. (English) Zbl 1541.37071 Bound. Value Probl. 2024, Paper No. 3, 18 p. (2024). MSC: 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Gutt, Jan; Manno, Gianni; Moreno, Giovanni; Śmiech, Robert The moment map on the space of symplectic 3D Monge-Ampère equations. (English) Zbl 1547.58016 Adv. Differ. Equ. 29, No. 7-8, 575-654 (2024). Reviewer: Benjamin McKay (Cork) MSC: 58J60 35A30 35J96 35K96 58A15 53D05 53D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bolotin, S.; Treschev, D. Another billiard problem. (English) Zbl 1540.37084 Russ. J. Math. Phys. 31, No. 1, 50-59 (2024). MSC: 37J39 37C83 37D40 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Xueying; Yue, Haitian On the global well-posedness for the periodic quintic nonlinear Schrödinger equation. (English) Zbl 1534.35380 SIAM J. Math. Anal. 56, No. 2, 1851-1902 (2024). MSC: 35Q55 35Q41 26A33 35R01 37K06 37L50 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arnaud, Marie-Claude; Fejoz, Jacques Invariant submanifolds of conformal symplectic dynamics. (Variétés invariantes des dynamiques conformément symplectiques.) (English. French summary) Zbl 1541.37062 J. Éc. Polytech., Math. 11, 159-185 (2024). MSC: 37J39 37C79 53D05 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pelayo, Álvaro; Tang, Xiudi Vũ Ngọc’s conjecture on focus-focus singular fibers with multiple pinched points. (English) Zbl 07810746 J. Fixed Point Theory Appl. 26, No. 1, Paper No. 6, 34 p. (2024). Reviewer: King-Leung Lee (Montpellier) MSC: 37J35 37J39 37J11 53D20 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Xueying; Yue, Haitian; Zhao, Zehua Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds. (English) Zbl 1534.35381 SIAM J. Math. Anal. 56, No. 1, 1427-1458 (2024). MSC: 35Q55 35Q41 35C08 35R01 37K06 37L50 35P25 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Di GUE via Frobenius manifolds. I: From matrix gravity to topological gravity and back. (English) Zbl 1530.53086 Acta Math. Sin., Engl. Ser. 40, No. 1, 383-405 (2024). MSC: 53D45 53Z05 81T45 83C60 15B52 37K10 14N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blaga, Adara M.; Chen, Bang-Yen Harmonic forms and generalized solitons. (English) Zbl 1535.37092 Result. Math. 79, No. 1, Paper No. 16, 18 p. (2024). Reviewer: Andreas Arvanitoyeorgos (Pátra) MSC: 37K25 37K40 35C08 58J60 53C15 53E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rahman, Shamsur; Ahmad, Sabi; Mishra, Niranjan Kumar On geometry of warped product semi invariant submanifolds of nearly \((\varepsilon, \delta)\)-trans Sasakian manifold with a certain connection. (English) Zbl 07974799 J. Hyperstruct. 12, No. 1, 158-172 (2023). MSC: 53D12 53C05 × Cite Format Result Cite Review PDF Full Text: Link
Amerik, Ekaterina; Campana, Frédéric On algebraically coisotropic submanifolds of holomorphic symplectic manifolds. (English) Zbl 1544.14041 Épijournal de Géom. Algébr., EPIGA Spec. Vol., in honour of Claire Voisin, Paper No. 11, 14 p. (2023). Reviewer: Calla Tschanz (Kraków) MSC: 14J42 14K12 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katsanikas, Matthaios; Wiggins, Stephen The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom – IV. (English) Zbl 1546.37109 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 8, Article ID 2330020, 10 p. (2023). MSC: 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Katsanikas, Matthaios; Wiggins, Stephen The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom-III. (English) Zbl 1546.37108 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 7, Article ID 2350088, 13 p. (2023). MSC: 37J46 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Theoretical investigations on a variable-coefficient generalized forced-perturbed Korteweg-de Vries-Burgers model for a dilated artery, blood vessel or circulatory system with experimental support. (English) Zbl 1537.76188 Commun. Theor. Phys. 75, No. 11, Article ID 115006, 7 p. (2023). MSC: 76Z05 35Q51 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Grytchuk, M. V.; Klevchuk, I. I. Bifurcation of tori for parabolic systems of differential equations with weak diffusion. (Ukrainian. English summary) Zbl 1549.35041 Bukovyn. Mat. Zh. 11, No. 2, 100-103 (2023). MSC: 35B32 35B15 35B25 35C07 35K51 35K58 37K55 × Cite Format Result Cite Review PDF Full Text: DOI
Pronevich, Andreĭ Frantsevich The Jacobi-Poisson method of building first integrals for system of ordinary differential equations. (Russian. English summary) Zbl 1540.70027 Differ. Uravn. Protsessy Upr. 2023, No. 4, 125-141 (2023). Reviewer: Nenad Manojlović (Faro) MSC: 70H06 70E40 70G45 × Cite Format Result Cite Review PDF Full Text: Link
Galyaev, I. A.; Kostiuchek, M. I.; Batov, A. V.; Salnikov, A. M. Critical phenomena of Massieu-Plank potential for gas mixtures described by the Beattie-Bridgeman equations of state. (English) Zbl 07792255 Lobachevskii J. Math. 44, No. 9, 3919-3926 (2023). MSC: 80Axx 35Qxx 82Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Amirzadeh-Fard, H.; Haghighatdoost, Gh.; Rezaei-Aghdam, A. Integrable bi-Hamiltonian systems by Jacobi structure on real three-dimensional Lie groups. (English) Zbl 1529.37034 J. Nonlinear Math. Phys. 30, No. 4, 1483-1509 (2023). MSC: 37J39 37J35 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gay-Balmaz, François; Wu, Meng; Eldred, Chris Variational geometric description for fluids with permeable boundaries. (English) Zbl 07789307 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, 282-289 (2023). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 76M60 76M30 × Cite Format Result Cite Review PDF Full Text: DOI
Boyom, Michel Nguiffo Canonical Hamiltonian systems in symplectic statistical manifolds. (English) Zbl 1537.37069 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, 173-180 (2023). MSC: 37J39 37J06 17B63 53Z05 53D05 53B12 × Cite Format Result Cite Review PDF Full Text: DOI
Peterson, Luke T.; Rosales, José J.; Scheeres, Daniel J. The vicinity of Earth-Moon \(L_1\) and \(L_2\) in the Hill restricted 4-body problem. (English) Zbl 1534.70028 Physica D 455, Article ID 133889, 15 p. (2023). MSC: 70F10 70H12 70K45 × Cite Format Result Cite Review PDF Full Text: DOI
Oganesyan, Vardan Zoo of monotone Lagrangians in \(\mathbb{C}P^n\). (English) Zbl 1531.53089 Sel. Math., New Ser. 29, No. 5, Paper No. 82, 65 p. (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 53D40 57R17 57R58 57S12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pezzutto, Paolo; Shrira, Victor I. Apparent singularities of the finite-depth Zakharov equation. (English) Zbl 1544.76023 J. Fluid Mech. 972, Paper No. A35, 24 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 70H15 × Cite Format Result Cite Review PDF Full Text: DOI
Pelayo, Álvaro Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems. (English) Zbl 1532.37002 Topology Appl. 339, Part A, Article ID 108577, 35 p. (2023). MSC: 37-02 37J35 37J39 53D20 53D05 53D30 70H06 81Q10 58D27 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Fairon, M.; Fehér, L. Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\). (English) Zbl 1530.37077 Ann. Henri Poincaré 24, No. 10, 3461-3529 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J37 17B80 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caruso, Matías I.; Fernández, Javier; Tori, Cora; Zuccalli, Marcela Lagrangian reduction of forced discrete mechanical systems. (English) Zbl 1537.70020 J. Phys. A, Math. Theor. 56, No. 35, Article ID 355202, 25 p. (2023). MSC: 70G65 70G45 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldomá, Inmaculada; Giralt, Mar; Guardia, Marcel Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula. (English) Zbl 1526.70009 Adv. Math. 430, Article ID 109218, 72 p. (2023). MSC: 70F07 70K44 70H09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Kangkang; Peng, Zheng A manifold inexact augmented Lagrangian method for nonsmooth optimization on Riemannian submanifolds in Euclidean space. (English) Zbl 07726045 IMA J. Numer. Anal. 43, No. 3, 1653-1684 (2023). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yifei; Deng, Kangkang; Liu, Haoyang; Wen, Zaiwen A decomposition augmented Lagrangian method for low-rank semidefinite programming. (English) Zbl 1522.90032 SIAM J. Optim. 33, No. 3, 1361-1390 (2023). MSC: 90C06 90C22 90C26 90C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Lucas, Javier; Rivas, Xavier; Vilariño, Silvia; Zawora, Bartosz M. On \(k\)-polycosymplectic Marsden-Weinstein reductions. (English) Zbl 1520.53069 J. Geom. Phys. 191, Article ID 104899, 36 p. (2023). MSC: 53D20 70S05 70S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murtaza, Isma Ghulam; Raza, Nauman; Arshed, Saima Painlevé integrability and a collection of new wave structures related to an important model in shallow water waves. (English) Zbl 1519.35265 Commun. Theor. Phys. 75, No. 7, Article ID 075008, 11 p. (2023). MSC: 35Q51 37K10 35Q35 35C07 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
de Lucas, Javier; Rivas, Xavier Contact Lie systems: theory and applications. (English) Zbl 1530.37090 J. Phys. A, Math. Theor. 56, No. 33, Article ID 335203, 37 p. (2023). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 37J55 37J37 37J39 17B62 53D10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yuhao; Bao, Chenglong; Ding, Chao; Zhu, Jun A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds. (English) Zbl 1522.90215 Math. Program. 201, No. 1-2 (A), 1-61 (2023). MSC: 90C30 49J52 58C20 65K05 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bizyaev, Ivan A.; Mamaev, Ivan S. Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors. (English) Zbl 1522.37074 Regul. Chaotic Dyn. 28, No. 1, 107-130 (2023). MSC: 37J60 37J25 37J20 70E18 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Čap, Andreas; Mettler, Thomas Geometric theory of Weyl structures. (English) Zbl 1521.53014 Commun. Contemp. Math. 25, No. 7, Article ID 2250026, 40 p. (2023). Reviewer: Andreas Vollmer (Hamburg) MSC: 53C07 53A20 53B15 53C15 53C40 53D15 58J60 17B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Si-Qi; Wang, Zhe; Zhang, Youjin Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations. (English) Zbl 1540.37091 Commun. Math. Phys. 401, No. 1, 985-1031 (2023). MSC: 37K06 37K10 37K25 53D45 53D42 70S05 70S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aquib, Mohd; Lone, Mohamd Saleem; Neacşu, Crina; Vîlcu, Gabriel-Eduard On \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant \(q\)-sectional curvature. (English) Zbl 1521.53055 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 107, 21 p. (2023). Reviewer: Daniel Thung (Amsterdam) MSC: 53D12 53B25 53C26 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation. (English) Zbl 1520.78040 Appl. Math. Lett. 140, Article ID 108546, 6 p. (2023). MSC: 78A60 68W30 37K35 35R01 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Revuelta, F.; Arranz, F. J.; Benito, R. M.; Borondo, F. Unraveling the highly nonlinear dynamics of KCN molecular system using Lagrangian descriptors. (English) Zbl 1523.81214 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107265, 14 p. (2023). MSC: 81V55 70J10 37D10 70H03 37D45 70M20 14J25 35B38 × Cite Format Result Cite Review PDF Full Text: DOI
Entov, Michael; Polterovich, Leonid Contact topology and non-equilibrium thermodynamics. (English) Zbl 07693241 Nonlinearity 36, No. 6, 3349-3375 (2023). MSC: 82Cxx 53Dxx 37Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem. (English) Zbl 1540.70019 Celest. Mech. Dyn. Astron. 135, No. 2, Paper No. 15, 47 p. (2023). MSC: 70F10 70H12 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Besse, Nicolas Stochastic Lagrangian perturbation of Lie transport and applications to fluids. (English) Zbl 1518.35541 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113249, 42 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q30 35Q31 76D05 76W05 76M60 35B06 35B20 35A01 35A02 60H40 17B81 35R01 35R60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ghosh, Aritra Generalized virial theorem for contact Hamiltonian systems. (English) Zbl 1517.70027 J. Phys. A, Math. Theor. 56, No. 23, Article ID 235205, 16 p. (2023). MSC: 70H05 70G45 70H03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sire, Yannick; Yu, Xueying; Yue, Haitian; Zhao, Zehua Singular Levy processes and dispersive effects of generalized Schrödinger equations. (English) Zbl 1516.35387 Dyn. Partial Differ. Equ. 20, No. 2, 153-178 (2023). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35R01 37K06 37L50 35P25 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maurelli, Mario; Modin, Klas; Schmeding, Alexander Incompressible Euler equations with stochastic forcing: a geometric approach. (English) Zbl 1517.35168 Stochastic Processes Appl. 159, 101-148 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 76B03 76M60 60H15 58D15 58B25 35B65 35D35 35A01 35A02 35R01 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jang, Donghoon; Tolman, Susan Non-Hamiltonian actions with fewer isolated fixed points. (English) Zbl 1517.37059 Int. Math. Res. Not. 2023, No. 7, 6045-6077 (2023). Reviewer: Jianbo Wang (Tianjin) MSC: 37J12 37J39 37E10 14J28 53D05 53D20 58C30 58D19 58J20 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides. (English. Russian original) Zbl 1519.35061 Theor. Math. Phys. 214, No. 1, 1-23 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 3-29 (2023). MSC: 35C20 35S05 53D12 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Di; Zhou, Jian Grothendieck’s dessins d’enfants in a web of dualities. III. (English) Zbl 1524.37066 J. Phys. A, Math. Theor. 56, No. 5, Article ID 055201, 34 p. (2023). MSC: 37K25 37K10 53D45 53D42 81T45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fish, Joel; Hofer, Helmut Feral curves and minimal sets. (English) Zbl 1517.70029 Ann. Math. (2) 197, No. 2, 533-738 (2023). MSC: 70H15 70G75 32Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fontich, Ernest; Vieiro, Arturo Dynamics near the invariant manifolds after a Hamiltonian-Hopf bifurcation. (English) Zbl 1509.37065 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106971, 30 p. (2023). MSC: 37J20 37J11 37D10 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Kailong; Zhao, Zehua On scattering asymptotics for the 2D cubic resonant system. (English) Zbl 1504.35505 J. Differ. Equations 345, 447-484 (2023). MSC: 35Q55 35Q41 35R01 37K06 37L50 35A01 35A02 35B06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giacobbe, Andrea A geometric classification of Hamiltonian equilibria by spectral types. (English) Zbl 1505.70042 J. Geom. Phys. 183, Article ID 104707, 9 p. (2023). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70H14 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Berceanu, Stefan Hamiltonian systems on almost cosymplectic manifolds. (English) Zbl 1512.37075 J. Geom. Phys. 183, Article ID 104700, 20 p. (2023). Reviewer: Francesco Cattafi (Würzburg) MSC: 37J55 37J39 53D05 53D15 53D22 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xueting; Krawcewicz, Wieslaw; Xiao, Huafeng Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems. (English) Zbl 1507.37086 J. Math. Anal. Appl. 518, No. 2, Article ID 126715, 18 p. (2023). MSC: 37J46 37J39 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Zhou, Tian-Yu Singular manifold, auto-Bäcklund transformations and symbolic-computation steps with solitons for an extended three-coupled Korteweg-de Vries system. (English) Zbl 1541.35424 Int. J. Geom. Methods Mod. Phys. 19, No. 14, Article ID 2250229, 15 p. (2022). MSC: 35Q53 37K35 37K40 35C08 68W30 33E17 76B25 × Cite Format Result Cite Review PDF Full Text: DOI
Chirco, Goffredo; Malagò, Luigi; Pistone, Giovanni Lagrangian and Hamiltonian dynamics for probabilities on the statistical bundle. (English) Zbl 1533.53017 Int. J. Geom. Methods Mod. Phys. 19, No. 13, Article ID 2250214, 46 p. (2022). MSC: 53B12 62B11 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Álvarez-Gavela, Daniel; Darrow, David Caustics of Lagrangian homotopy spheres with stably trivial Gauss map. (English) Zbl 1518.53059 J. Symplectic Geom. 20, No. 5, 995-1036 (2022). Reviewer: Tseleung So (London, Ontario) MSC: 53D12 53D37 57R17 57R45 57Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azizpour, Esmaeil; Moazzami, Ghazale Tracking a target in a three-dimensional space by a nonholonomic constraint. (English) Zbl 1519.70013 J. Finsler Geom. Appl. 3, No. 1, 72-85 (2022). MSC: 70F25 70H03 70G45 70P99 × Cite Format Result Cite Review PDF Full Text: DOI
Nazaikinskii, V. E. Canonical operator on punctured Lagrangian manifolds and commutation with pseudodifferential operators: local theory. (English. Russian original) Zbl 1505.35378 Math. Notes 112, No. 5, 709-725 (2022); translation from Mat. Zametki 112, No. 5, 733-751 (2022). MSC: 35S05 53D12 × Cite Format Result Cite Review PDF Full Text: DOI
Mishchenko, A. S. [Fomenko, A. T.] Maslov index on symplectic manifolds. With supplement by A. T. Fomenko “Constructing the generalized Maslov class for the total space \(W=\mathbb{T}^*(M)\) of the cotangent bundle”. (English. Russian original) Zbl 1512.53078 Math. Notes 112, No. 5, 697-708 (2022); translation from Mat. Zametki 112, No. 5, 718-732 (2022). MSC: 53D12 53D05 53D40 57R17 × Cite Format Result Cite Review PDF Full Text: DOI
Kikuchi, Keiichi; Takeuchi, Tsukasa Integrability theorems of free systems and symplectic Haantjes structures. (English) Zbl 1518.37066 J. Geom. Symmetry Phys. 63, 39-64 (2022). Reviewer: Luen-Chau Li (University Park) MSC: 37J35 37J39 53C43 53D05 70H03 70H06 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Si-Qi; Yang, Di; Zhang, Youjin; Zhou, Chunhui On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions. (English) Zbl 1507.53085 Lett. Math. Phys. 112, No. 6, Paper No. 129, 30 p. (2022). MSC: 53D45 14N35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Nachuan; Liu, Xin; Yuan, Ya-xiang A class of smooth exact penalty function methods for optimization problems with orthogonality constraints. (English) Zbl 1505.65170 Optim. Methods Softw. 37, No. 4, 1205-1241 (2022). MSC: 65F15 65K05 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Moukala, N. Mahoungou; Milounguidi, M. M.; Bossoto, B. G. R. Jacobi structures on a Lie-Rinehart algebra. (English) Zbl 1513.53142 JP J. Geom. Topol. 28, 55-79 (2022). MSC: 53D17 17B63 37J37 × Cite Format Result Cite Review PDF Full Text: DOI
de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia Reduction and reconstruction of multisymplectic Lie systems. (English) Zbl 1507.34066 J. Phys. A, Math. Theor. 55, No. 29, Article ID 295204, 34 p. (2022). MSC: 34G20 53D05 53D20 37J37 37J65 70G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo Riemannian F-manifolds, bi-flat F-manifolds, and flat pencils of metrics. (English) Zbl 1509.37098 Int. Math. Res. Not. 2022, No. 21, 16730-16778 (2022). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K25 37K20 37K10 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sy, Mouhamadou; Yu, Xueying Global well-posedness and long-time behavior of the fractional NLS. (English) Zbl 1501.35447 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 4, 1261-1317 (2022). MSC: 35R11 35Q55 60H15 37K06 37L50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergmann, Ronny; Herzog, Roland; Ortiz López, Julián; Schiela, Anton First- and second-order analysis for optimization problems with manifold-valued constraints. (English) Zbl 1511.90386 J. Optim. Theory Appl. 195, No. 2, 596-623 (2022). Reviewer: Pál Burai (Debrecen) MSC: 90C30 90C46 49Q99 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jingyi Regularity of critical points of the volume functional for Lagrangian submanifolds. (English) Zbl 1498.35132 J. Geom. Anal. 32, No. 12, Paper No. 289, 15 p. (2022). MSC: 35B65 35D40 53C38 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Si-Qi; Wang, Zhe; Zhang, Youjin Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries. (English) Zbl 1511.37079 Commun. Math. Phys. 395, No. 1, 459-519 (2022). Reviewer: Arsen Melikyan (Brasília) MSC: 37K10 37K25 37K20 37K06 53D45 57K16 57R56 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oganesyan, Vardan Monotone Lagrangian submanifolds of \(\mathbb{C}^n\) and toric topology. (English) Zbl 1501.53089 Algebr. Geom. Topol. 22, No. 3, 1017-1056 (2022). MSC: 53D12 53D40 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Peng; Tang, Xianhua Ground states for a system of nonlinear Schrödinger equations with singular potentials. (English) Zbl 1506.37091 Discrete Contin. Dyn. Syst. 42, No. 10, 5105-5136 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 37K40 35C07 37K15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Shiyin; Zhang, Yufeng; Zhou, Jian; Zhang, Hongyi Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy. (English) Zbl 1502.37071 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106622, 27 p. (2022). MSC: 37K10 35Q51 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Xiaoyu; Zhu, Shihui Cross-invariant manifolds for the Gross-Pitaevskii-Poisson equation. (English) Zbl 1497.35165 Z. Angew. Math. Phys. 73, No. 4, Paper No. 160, 15 p. (2022). MSC: 35J35 35Q55 37K45 × Cite Format Result Cite Review PDF Full Text: DOI