Bustamante, Adrián P.; Celletti, Alessandra; Lhotka, Christoph The dynamics of the spin-spin problem in celestial mechanics. (English) Zbl 07984218 Commun. Nonlinear Sci. Numer. Simul. 142, Article ID 108548, 17 p. (2025). MSC: 70Fxx 70Hxx 70Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Henheik, Joscha Deformational rigidity of integrable metrics on the torus. (English) Zbl 07983557 Ergodic Theory Dyn. Syst. 45, No. 2, 467-503 (2025). MSC: 37J35 37J39 53D25 37C83 37J40 70H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vollmer, Andreas Torsion-free connections of second-order maximally superintegrable systems. (English) Zbl 07983167 Bull. Lond. Math. Soc. 57, No. 2, 565-581 (2025). MSC: 53A20 53B50 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tu, Son N. T.; Zhang, Jianlu On the regularity of stochastic effective Hamiltonian. (English) Zbl 07983015 Proc. Am. Math. Soc. 153, No. 3, 1191-1203 (2025). MSC: 35D40 35J60 70H20 37J40 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sechin, Ivan; Vasilev, Mikhail Ruijsenaars duality for \(B, C, D\) Toda chains. (English) Zbl 07980892 Lett. Math. Phys. 115, No. 1, Paper No. 4, 30 p. (2025). MSC: 17B80 37J35 37J39 53D20 70H06 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crespo, Francisco; Vidarte, Jhon; Villafañe, Jersson Symplectic Reeb atlas and determination of periodic solutions in perturbed isotropic \(n\)-oscillators. (English) Zbl 07980339 J. Math. Anal. Appl. 543, No. 2, Part 2, Article ID 129000, 17 p. (2025). MSC: 70H15 70H12 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Gutierrez-Sagredo, I.; Iglesias-Ponte, D.; Marrero, J. C.; Padrón, E. Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces. (English) Zbl 07978620 Anal. Math. Phys. 15, No. 1, Paper No. 8, 42 p. (2025). MSC: 37C40 37J39 53D17 70G45 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pasquali, Stefano Energy cascade for the Klein-Gordon lattice. (English) Zbl 07978230 Discrete Contin. Dyn. Syst. 45, No. 6, 1823-1869 (2025). MSC: 37K55 37K60 70H08 70K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azuaje, R.; Escobar-Ruiz, A. M. On particular integrability for (co)symplectic and (co)contact Hamiltonian systems. (English) Zbl 07978184 J. Phys. A, Math. Theor. 58, No. 4, Article ID 045201, 17 p. (2025). MSC: 70H08 70H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joung, Chankyu; van Koert, Otto Computational symplectic topology and symmetric orbits in the restricted three-body problem. (English) Zbl 07977837 Nonlinearity 38, No. 2, Article ID 025015, 27 p. (2025). MSC: 37C27 53D12 70H05 70M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boscaggin, Alberto; Feltrin, Guglielmo; Papini, Duccio Nearly-circular periodic solutions of perturbed relativistic Kepler problems: the fixed-period and the fixed-energy problems. (English) Zbl 07976227 Calc. Var. Partial Differ. Equ. 64, No. 2, Paper No. 64, 29 p. (2025). MSC: 34C25 70H12 70H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lempert, László To the geometry of spaces of plurisubharmonic functions on a Kähler manifold. (English) Zbl 07973655 Berman, Robert J. (ed.) et al., Convex and complex: perspectives on positivity in geometry. Conference in honor of Bo Berndtsson’s 70th birthday, Cetraro, Italy, October 31 – November 2, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 810, 231-263 (2025). MSC: 32Q15 32U15 53C35 58B20 58E30 70H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anand, Amit; Mann, Robert B.; Ghose, Shohini Non-linearity and chaos in the kicked top. (English) Zbl 07973256 Physica D 471, Article ID 134455, 7 p. (2025). MSC: 37Jxx 70Hxx 37Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qu, Ru; Zhang, DongFeng The existence of invariant tori of reversible systems with Liouvillean frequency and its applications. (English) Zbl 07973253 Physica D 471, Article ID 134447, 11 p. (2025). MSC: 70H08 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Caracciolo, Chiara; Figueras, Jordi-Lluís; Haro, Alex A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems. (English) Zbl 07972417 Nonlinearity 38, No. 2, Article ID 025005, 25 p., 25 p. (2025). MSC: 37J25 70H08 37M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaoming; Li, Denghui; Liu, Xianbin Time-dependent billiards, variational method, and invariant tori. (English) Zbl 07972415 Nonlinearity 38, No. 2, Article ID 025003, 24 p., 24 p. (2025). MSC: 37J40 70F99 70H30 × Cite Format Result Cite Review PDF Full Text: DOI
Timoumi, Mohsen Ground state homoclinic solutions for damped vibration systems with periodicity. (English) Zbl 07971679 Differ. Equ. Dyn. Syst. 33, No. 1, 333-354 (2025). MSC: 34C37 49J20 70H05 × 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
Matveev, Vladimir S.; Nikolayevsky, Yuri Killing tensors on reducible spaces. (English) Zbl 07965627 Manuscr. Math. 176, No. 1, Paper No. 3, 9 p. (2025). MSC: 37J35 70H06 53C29 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bereanu, Cristian Mountain pass periodic solutions for the Lorentz force equation via the Poincaré action functional. (English) Zbl 07965277 Commun. Contemp. Math. 27, No. 3, Article ID 2450009, 15 p. (2025). MSC: 34C25 58E35 34C25 83A05 70H40 × Cite Format Result Cite Review PDF Full Text: DOI
Hassainia, Zineb; Roulley, Emeric Boundary effects on the emergence of quasi-periodic solutions for Euler equations. (English) Zbl 07964139 Nonlinearity 38, No. 1, Article ID 015016, 81 p. (2025). MSC: 35Q31 76B47 37K55 35B05 35B65 44A15 47B35 70H08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S. Orthogonal separation of variables for spaces of constant curvature. (English) Zbl 07963409 Forum Math. 37, No. 1, 13-41 (2025). MSC: 37J35 70H20 37J11 37J06 37J38 70H15 70S10 37K06 37K10 37K25 53B50 53A20 53B20 53B30 53B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Ansari, B.; El Kinani, E. H.; Ouhadan, A. Symmetry analysis of the time fractional potential-KdV equation. (English) Zbl 07959250 Comput. Appl. Math. 44, No. 1, Paper No. 34, 14 p. (2025). MSC: 76M60 35Q53 26A33 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Aceto, Lidia; Grassi, Pietro Antonio A charge-preserving method for solving graph neural diffusion networks. (English) Zbl 07954710 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108392, 13 p. (2025). MSC: 65P10 37J06 65L05 68T07 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lanchares, Ernesto; Palacián, Jesús F. Extension of Delaunay normalisation for arbitrary powers of the radial distance. (English) Zbl 07954651 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108322, 11 p. (2025). MSC: 70F05 70H05 33C05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Duanzhi; Zhao, Zhihao Maslov-type \((L,P)\)-index and subharmonic \(P\)-symmetric brake solutions for Hamiltonian systems. (English) Zbl 07950084 J. Differ. Equations 415, 383-433 (2025). MSC: 70H05 37J06 × Cite Format Result Cite Review PDF Full Text: DOI
Voit, Michael On the differential equations of frozen Calogero-Moser-Sutherland particle models. (English) Zbl 07923646 J. Math. Anal. Appl. 541, No. 2, Article ID 128710, 32 p. (2025). MSC: 37J38 37J35 33C45 70H06 60J65 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kobtsev, Ivan F.; Kudryavtseva, Elena A. Bifurcations of magnetic geodesic flows on surfaces of revolution. arXiv:2502.06977 Preprint, arXiv:2502.06977 [math.DS] (2025). MSC: 53D12 53D20 37J35 70H06 × Cite Format Result Cite Full Text: arXiv OA License
Wagner, Maxime; Wurzbacher, Tilmann Hamiltonian dynamics and geometry on the two-plectic six-sphere. arXiv:2502.00756 Preprint, arXiv:2502.00756 [math.DG] (2025). MSC: 53C15 53D05 70G45 70H05 × Cite Format Result Cite Full Text: arXiv
Zareef, Diana Al; Hajj, Ahmad El; Ibrahim, Hassan; Zurek, Antoine Convergence of a semi-explicit scheme for a one dimensional periodic nonlocal eikonal equation modeling dislocation dynamics. arXiv:2501.18428 Preprint, arXiv:2501.18428 [math.NA] (2025). MSC: 35F20 35F21 70H20 65M12 65M06 × Cite Format Result Cite Full Text: arXiv
Kress, Jonathan M; Matveev, Vladimir Self-adjoint quantization of Stäckel integrable systems. arXiv:2501.18082 Preprint, arXiv:2501.18082 [math.DG] (2025). MSC: 37J35 70H06 × Cite Format Result Cite Full Text: arXiv OA License
Turner, Edward A.; Crespo, Francisco; Vidarte, Jhon; Villafañe, Jersson; Zapata, Jorge Stability, periodic orbits and KAM tori in the dynamics of the three fixed centers problem. arXiv:2501.13089 Preprint, arXiv:2501.13089 [math.DS] (2025). MSC: 37J25 70F10 70H05 70H09 70H33 × Cite Format Result Cite Full Text: arXiv
Agapov, S. V.; Mironov, A. E. Finite-gap potentials and integrable geodesic equations on a 2-surface. arXiv:2501.12721 Preprint, arXiv:2501.12721 [math.DS] (2025). MSC: 37J35 34L05 53D25 14H70 70H06 × Cite Format Result Cite Full Text: DOI arXiv
Kaplun, Aleksandr; Katsnelson, Boris Dynamical space-time ray tracing and modified horizontal ray method. arXiv:2501.03856 Preprint, arXiv:2501.03856 [math-ph] (2025). MSC: 34A30 34A12 34B24 35L05 35L20 70H05 70H09 76Q05 × Cite Format Result Cite Full Text: arXiv OA License
Fu, Wei-Jie; Huang, Chuang; Pawlowski, Jan M.; Tan, Yang-Yang Four-quark scatterings in QCD. II. (English) Zbl 07982739 SciPost Phys. 17, No. 5, Paper No. 148, 30 p. (2024). MSC: 81Txx 81Vxx 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khorrami, Mohammad A generalized formulation of dynamics and constraints in the phase space-time. (English) Zbl 07982358 Int. J. Theor. Phys. 63, No. 12, Paper No. 325, 15 p. (2024). MSC: 70-XX 70Gxx 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Marco, Jean-Pierre A symplectic approach to Arnold diffusion problems. (English) Zbl 07981185 Fathi, Albert (ed.) et al., Hamiltonian systems. Dynamics, analysis, applications. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 72, 229-296 (2024). MSC: 37Jxx 70Hxx 53D05 53D17 53D20 57R17 × Cite Format Result Cite Review PDF Full Text: DOI
Foskett, Michael S.; Tronci, Cesare Holonomy and vortex structures in quantum hydrodynamics. (English) Zbl 07981183 Fathi, Albert (ed.) et al., Hamiltonian systems. Dynamics, analysis, applications. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 72, 173-214 (2024). MSC: 37Jxx 70Hxx 53D05 53D17 53D20 57R17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gullentops, Yannick; Hohloch, Sonja Recent examples of hypersemitoric systems and first steps towards a classification: a brief survey. (English) Zbl 07980638 Chatzakou, Marianna (ed.) et al., Women in analysis and PDE. Contributions given by female speakers during many scientific events of GAPC since 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 5, 187-195 (2024). MSC: 37D05 37J20 37J35 37J39 70H06 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozlov, Valery On the diffusion mechanism in Hamiltonian systems. (English. Russian original) Zbl 07976872 Funct. Anal. Appl. 58, No. 4, 362-370 (2024); translation from Funkts. Anal. Prilozh. 58, No. 4, 20-31 (2024). MSC: 37J40 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Peng Persistence of invariant tori in infinite dimensional reversible systems. (Chinese. English summary) Zbl 07974362 Acta Math. Sin., Chin. Ser. 67, No. 6, 1207-1220 (2024). MSC: 37J40 37K55 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Neagu, Mircea; Ovsiyuk, Elena From Pikovsky-Rabinovich dynamical system to Lagrange-Hamilton geometrical objects. (English) Zbl 07973100 An. Univ. Vest Timiș., Ser. Mat.-Inform. 60, No. 1, 123-129 (2024). MSC: 53C60 37J05 70H40 × Cite Format Result Cite Review PDF Full Text: DOI
Beauville, Arnaud; Etesse, Antoine; Höring, Andreas; Liu, Jie; Voisin, Claire Symmetric tensors on the intersection of two quadrics and Lagrangian fibration. (English) Zbl 07969268 Moduli 1, Article ID e4, 19 p. (2024). MSC: 70H06 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rahmati, H. Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method. (English. Russian original) Zbl 07967533 Theor. Math. Phys. 221, No. 3, 2144-2154 (2024); translation from Teor. Mat. Fiz. 221, No. 3, 629-641 (2024). MSC: 37J40 37J35 37J37 70H09 70G45 70G65 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Rehman, Haseeb Ur; Feroze, Tooba Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms. (English) Zbl 07966121 Stud. Appl. Math. 153, No. 4, Article ID e12766, 14 p. (2024). MSC: 70H11 70H33 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiao Fei; Wang, Fan Jing Symmetric brake orbits with minimal period of first-order anisotropic Hamiltonian systems. (English) Zbl 07965381 Acta Math. Sin., Engl. Ser. 40, No. 12, 3079-3092 (2024). MSC: 70H05 70H12 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Frederico, Gastão; Vanterler da Costa Sousa, José; Oliveira, Daniela dos Santos; Costa, Felix Silva A formulation of Noether’s theorem for pseudo-problems of the calculus of variations. (English) Zbl 07965211 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 301, 17 p. (2024). MSC: 47G30 49S05 70H03 × Cite Format Result Cite Review PDF Full Text: DOI
Goliński, Tomasz; Tumpach, Alice Barbora Geometry of integrable systems related to the restricted Grassmannian. (English) Zbl 07962308 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 104, 18 p. (2024). MSC: 70H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Makhaldiani, Nugzar New physics, W-boson mass and non-Riemannian zeros of the zeta function. (English) Zbl 07961996 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 38, 54-57 (2024). MSC: 11M26 81T13 70H09 81T13 81T15 81V05 81V15 × Cite Format Result Cite Review PDF Full Text: Link
Shamolin, M. V. Integrability of dynamic equations of generalized four-dimensional pendulum motion. (English) Zbl 07961748 Lobachevskii J. Math. 45, No. 8, 3737-3759 (2024). MSC: 37Jxx 70Hxx 37Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Ri, Won-Hak; Jong, Ju-Song; Jong, Un-Gyong; Jong, Kwang-Hyon Multi-Dirac structures for Lie bialgebroids. (English) Zbl 07959853 Differ. Geom. Appl. 97, Article ID 102178, 11 p. (2024). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D18 70H45 70H50 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Shi-Lei; Song, Chuan-Jing Noether theorem for non-standard Lagrangian system under generalized fractional operators. (Chinese. English summary) Zbl 07959392 Acta Math. Appl. Sin. 47, No. 4, 531-548 (2024). MSC: 70H33 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Burtea, Cosmin; Gavrilyuk, Sergey L.; Perrin, Charlotte Hamilton’s principle of stationary action in multiphase flow modeling. (English) Zbl 07958501 Charve, Frédéric (ed.) et al., Mathematical methods and modeling for mixtures of fluids and interface evolution. Paris: Société Mathématique de France (SMF). Panor. Synth. 61, 77-106 (2024). MSC: 76T10 76M30 70H05 × Cite Format Result Cite Review PDF
Castera, Guillaume; Chabassier, Juliette Linearly implicit time integration scheme of Lagrangian systems via quadratization of a nonlinear kinetic energy. Application to a rotating flexible piano hammer shank. (English) Zbl 07957229 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1881-1905 (2024). MSC: 65M60 35L05 35Q74 65M06 37M15 37N15 70H03 × Cite Format Result Cite Review PDF Full Text: DOI
Campoamor-Stursberg, Rutwig; Carballal, Oscar; Herranz, Francisco J. Lie-Hamilton systems on Riemannian and Lorentzian spaces from conformal transformations and some of their applications. (English) Zbl 07955206 J. Phys. A, Math. Theor. 57, No. 48, Article ID 485203, 42 p. (2024). MSC: 53C21 53C30 34A26 70H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Talamucci, Federico Motion of general nonholonomic systems from the d’Alembert principle via an algebraic method. (English) Zbl 07955030 Acta Mech. 235, No. 10, 6305-6319 (2024). MSC: 70F25 70H03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yumagulov, M. G.; Ibragimova, L. S. Equivalent Hamiltonian systems for differential equations with even order derivatives. (English) Zbl 07954466 Lobachevskii J. Math. 45, No. 6, 2792-2801 (2024). MSC: 70H05 70K45 × Cite Format Result Cite Review PDF Full Text: DOI
Budochkina, S. A.; Luu, T. H. On variational symmetries and conservation laws of a fifth-order partial differential equation. (English) Zbl 07954436 Lobachevskii J. Math. 45, No. 6, 2466-2477 (2024). MSC: 70H33 70G65 70G75 × Cite Format Result Cite Review PDF Full Text: DOI
Kaloshin, V.; Koudjinan, C. E.; Zhang, Ke Birkhoff conjecture for nearly centrally symmetric domains. (English) Zbl 07953386 Geom. Funct. Anal. 34, No. 6, 1973-2007 (2024). MSC: 37Jxx 37Dxx 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caudrelier, Vincent; Singh, Anup Anand; Vicedo, Benoît Lagrangian multiform for cyclotomic Gaudin models. (English) Zbl 07951894 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 100, 30 p. (2024). MSC: 17B80 37J35 70H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
M-Seara, Tere; Silva, Luan V. M. F.; Villanueva, Jordi On the boundedness of solutions of a forced discontinuous oscillator. (English) Zbl 07950702 J. Differ. Equations 412, 529-567 (2024). MSC: 37J40 34A36 70H08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shamolin, M. V. New cases of integrable ninth-order conservative and dissipative dynamical systems. (English) Zbl 07950004 Dokl. Math. 110, No. 1, 337-345 (2024). MSC: 37Jxx 70Hxx 37Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, A. G. On tautochronic motions. (English) Zbl 07950000 Dokl. Math. 110, No. 1, 312-317 (2024). MSC: 70H05 70H12 70K45 × Cite Format Result Cite Review PDF Full Text: DOI
Cid, J. Ángel A survey on some existence results for the relativistic pendulum equation. (English) Zbl 07949831 Amster, Pablo (ed.) et al., Topological methods for delay and ordinary differential equations. With applications to continuum mechanics. Cham: Birkhäuser. Adv. Mech. Math. 51, 43-62 (2024). MSC: 70H40 70K42 70-02 83C55 × Cite Format Result Cite Review PDF Full Text: DOI
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo Prescribed energy periodic solutions of Kepler problems with relativistic corrections. (English) Zbl 07949830 Amster, Pablo (ed.) et al., Topological methods for delay and ordinary differential equations. With applications to continuum mechanics. Cham: Birkhäuser. Adv. Mech. Math. 51, 21-41 (2024). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 47J15 37J40 70H08 70H12 83A05 83C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fonda, Alessandro Periodic solutions of Hamiltonian systems with symmetries. (English) Zbl 07949829 Amster, Pablo (ed.) et al., Topological methods for delay and ordinary differential equations. With applications to continuum mechanics. Cham: Birkhäuser. Adv. Mech. Math. 51, 1-19 (2024). MSC: 37J46 70H12 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Soize, Christian; Ghanem, Roger Transient anisotropic kernel for probabilistic learning on manifolds. (English) Zbl 07949605 Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117453, 38 p. (2024). MSC: 74S99 53Z50 62R30 65C30 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schneider, Simeon; Betsch, Peter Optimal control of constrained mechanical systems in redundant coordinates: formulation and structure-preserving discretization. (English) Zbl 07949597 Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117443, 31 p. (2024). MSC: 49K15 70G45 70H05 70Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Klein, Ulf Quantizing Galilean spacetime: a reconstruction of Maxwell’s equations in empty space. (English) Zbl 07947959 Quantum Stud. Math. Found. 11, No. 3, 717-737 (2024). MSC: 81-XX 70S99 70H05 81P05 81S99 83C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jie; Shan, Yuan; Wang, Jing Reducibility of three dimensional skew symmetric system with high dimensional weak Liouvillean frequencies. (English) Zbl 07946953 Acta Math. Sin., Engl. Ser. 40, No. 10, 2388-2410 (2024). MSC: 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Derakhshani, Maaneli; Kiessling, Michael K.-H.; Tahvildar-Zadeh, A. Shadi Covariant guiding laws for fields. (English) Zbl 07946797 Pure Appl. Math. Q. 20, No. 4, 1923-1972 (2024). MSC: 35Q41 70H20 70S05 81Q65 81S99 81T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garibaldi, Eduardo; Petite, Samuel; Thieullen, Philippe Classification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets. (English) Zbl 07946629 Commun. Math. Phys. 405, No. 12, Paper No. 291, 48 p. (2024). MSC: 37J40 37J46 37K60 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xing, Xiumei; Wang, Haiyan; Lai, Shaoyong Boundedness of solutions to a second-order periodic system with \(p\)-Laplacian and unbounded perturbation terms. (English) Zbl 07946118 Bound. Value Probl. 2024, Paper No. 103, 13 p. (2024). MSC: 34C55 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Medvedev, Anton G. On the measure of the KAM-tori in a neighbourhood of a separatrix. (English. Russian original) Zbl 07945694 Sb. Math. 215, No. 6, 755-774 (2024); translation from Mat. Sb. 215, No. 6, 41-60 (2024). MSC: 37J40 37J35 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Boscaggin, Alberto; Dambrosio, Walter; Papini, Duccio Periodic solutions to relativistic Kepler problems: a variational approach. (English) Zbl 07944257 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 25, No. 3, 1465-1504 (2024). MSC: 34C25 58E05 58E30 70H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cordani, Bruno Geography of order and chaos in mechanics. Investigations of quasi-integrable systems with analytical, numerical, and graphical tools. 2nd edition. (English) Zbl 07944191 Progress in Mathematical Physics 64. Cham: Birkhäuser (ISBN 978-3-031-72225-7/hbk; 978-3-031-72228-8/pbk; 978-3-031-72226-4/ebook). xxv, 395 p. (2024). MSC: 70-01 37J40 70F15 37J06 70H08 70H33 65P10 37N05 37M10 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Vaquero, Miguel; Cortés, Jorge; de Diego, David Martín Symmetry preservation in Hamiltonian systems: simulation and learning. (English) Zbl 07941641 J. Nonlinear Sci. 34, No. 6, Paper No. 115, 29 p. (2024). MSC: 37M05 37M15 37M21 37J39 53D05 70H33 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fonda, Alessandro; Mamo, Natnael Gezahegn; Sfecci, Andrea An extension of the Poincaré-Birkhoff theorem to systems involving Landesman-Lazer conditions. (English) Zbl 07941121 Ric. Mat. 73, No. 5, 2877-2900 (2024). MSC: 37J46 37J06 37J25 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhiqiang; Hou, Guolin; Qiao, Yanfen; Liu, Jincun Hamiltonian system for three-dimensional problem of two-dimensional decagonal piezoelectric quasicrystals and its symplectic analytical solutions. (English) Zbl 07940395 Comput. Math. Math. Phys. 64, No. 7, 1549-1563 (2024). MSC: 74F15 74E15 74E30 74G10 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yi-Heng; Yao, Zhenwei Anisotropic odd elasticity with Hamiltonian curl forces. (English) Zbl 07939485 J. Phys. A, Math. Theor. 57, No. 45, Article ID 455204, 21 p. (2024). MSC: 74B20 74E10 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matveev, Vladimir S.; Nikolayevsky, Yuri Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields. (Tenseurs de Killing quadratiques sur des espaces symétriques qui ne sont pas générés par des champs de Killing vectoriels.) (English. French summary) Zbl 07939442 C. R., Math., Acad. Sci. Paris 362, 1043-1049 (2024). Reviewer: Giovanni Russo (Trieste) MSC: 53C35 53B20 37J30 37J35 70H06 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Guowei Regularizable collinear periodic solutions in the \(n\)-body problem with arbitrary masses. (English) Zbl 07939029 Adv. Math. 457, Article ID 109947, 17 p. (2024). MSC: 70Fxx 37Jxx 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rivas, Xavier; Salgado, Modesto; Souto, Silvia Some contributions to \(k\)-contact Lagrangian field equations, symmetries and dissipation laws. (English) Zbl 07938490 Rev. Math. Phys. 36, No. 8, Article ID 2450019, 31 p. (2024). Reviewer: Mohammad Khorrami (Tehrān) MSC: 70S05 70S10 70G45 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Jingli; Xiang, Chun; Yin, Chen; Guo, Yong-Xin; Yin, Zuo-Yuan; Cheng, Hui-Dong; Sun, Xiaofan Basic principles of deformed objects with methods of analytical mechanics. (English) Zbl 07938331 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 57, 27 p. (2024). MSC: 74C05 74A05 70G75 70H30 × Cite Format Result Cite Review PDF Full Text: DOI
Kawasaki, Morimichi; Kimura, Mitsuaki; Maruyama, Shuhei; Matsushita, Takahiro; Mimura, Masato Survey on invariant quasimorphisms and stable mixed commutator length. (English) Zbl 07938078 Topol. Proc. 64, 129-174 (2024). MSC: 20F65 20J06 70H15 20E36 20F12 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Deriglazov, Alexei A. Rigid body as a constrained system. Lagrangian and Hamiltonian formalism. (English) Zbl 07938077 Newcastle upon Tyne: Cambridge Scholars Publishing (ISBN 978-1-0364-1287-6/hbk). (2024). MSC: 70-02 37-02 70Exx 70H45 37J06 × Cite Format Result Cite Review PDF
Hirata, Jun; Matsugi, Yoshitaka; Tanaka, Kazunaga Periodic bounce trajectories in moving domains. (English) Zbl 07937998 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 35, No. 1, 77-103 (2024). MSC: 37J46 37C27 58E05 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Moody T. Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation. (English) Zbl 07937547 IMA J. Numer. Anal. 44, No. 3, 1406-1434 (2024). MSC: 65P10 70H99 × Cite Format Result Cite Review PDF Full Text: DOI
Pérez Rothen, Yocelyn; Vidal, Claudio Reduction and reconstruction of the oscillator in 1:1:2 resonance plus an axially symmetric polynomial perturbation. (English) Zbl 07935909 SIAM J. Appl. Dyn. Syst. 23, No. 3, 2489-2532 (2024). MSC: 37J40 37J46 70H12 70K30 × Cite Format Result Cite Review PDF Full Text: DOI
Polimeni, Davide; Terracini, Susanna On the existence of minimal expansive solutions to the \(N\)-body problem. (English) Zbl 07935204 Invent. Math. 238, No. 2, 585-635 (2024). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 70F10 70H20 70G75 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reyes, Daniel; Tempesta, Piergiulio; Tondo, Giorgio Partial separability and symplectic-Haantjes manifolds. (English) Zbl 07931775 Ann. Mat. Pura Appl. (4) 203, No. 6, 2677-2710 (2024). MSC: 37J35 37J06 37J39 70G45 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Shuqiang The Schubart orbits in the curved three-body problem with two equal masses. (English) Zbl 07931663 J. Nonlinear Sci. 34, No. 6, Paper No. 109, 25 p. (2024). MSC: 70F07 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Schwerdtner, Paul; Schulze, Philipp; Berman, Jules; Peherstorfer, Benjamin Nonlinear embeddings for conserving Hamiltonians and other quantities with neural Galerkin schemes. (English) Zbl 07931255 SIAM J. Sci. Comput. 46, No. 5, C583-C607 (2024). MSC: 65M22 65P10 68T07 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moreno, Agustin; Ruscelli, Francesco Combinatorics of linear stability for Hamiltonian systems in arbitrary dimension. On GIT quotients of the symplectic group, and the associahedron. (English) Zbl 07930929 Math. Z. 308, No. 2, Paper No. 34, 27 p. (2024). MSC: 70H14 70H12 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhivkov, Angel; Mladenov, Ivaïlo M. Explicit solutions of two-center problem in the plane: negative energies. (English) Zbl 07930864 J. Geom. Symmetry Phys. 68, 81-103 (2024). MSC: 70F05 70H06 70H12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Peng, Jian; Xia, Hui; Sun, Hongxin; Lenci, Stefano Stability in parametric resonance of a controlled stay cable with time delay. (English) Zbl 1548.70047 Int. J. Struct. Stab. Dyn. 24, No. 21, Article ID 2450233, 15 p. (2024). MSC: 70K20 34K20 70H14 74H45 74K05 93C20 93D05 × Cite Format Result Cite Review PDF Full Text: DOI
de Neeling, Dijs; Roest, Diederik; Seri, Marcello; Waalkens, Holger Bertrand’s theorem and the double copy of relativistic field theories. (English) Zbl 07926764 J. High Energy Phys. 2024, No. 8, Paper No. 216, 17 p. (2024). MSC: 83Cxx 83Exx 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reshetikhin, Nicolai Periodic and open classical spin Calogero-Moser chains. (English) Zbl 1547.70015 Cheng, Shiu-Yuen (ed.) et al., Chern: a great geometer of the 20th century. Lectures given at the 2021 Tsinghua conference celebrating the 110th birthday of S.-S. Chern, Beijing, China, October 10–14, 2021. Somerville, MA: International Press. Surv. Differ. Geom. 26, 263-297 (2024). MSC: 70H06 37N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Lu; Si, Wen; Wu, Mengmeng The existence of response tori for Hamiltonian with normal degeneracy. (English) Zbl 07924369 J. Appl. Anal. Comput. 14, No. 6, 3227-3259 (2024). MSC: 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Bakri, Taoufik; Verhulst, Ferdinand Emergence and approximation of tori. (English) Zbl 1546.37142 Belhaq, Mohamed (ed.), Advances in nonlinear dynamics and control of mechanical and physical systems. Selected articles from CSNDD, Marrakesh, Morocco, May 15–17, 2023. Singapore: Springer. Springer Proc. Phys. 301, 1-22 (2024). MSC: 37M21 37M20 37J40 37J46 70H08 70H12 70K43 65P30 × Cite Format Result Cite Review PDF Full Text: DOI