Marmo, Giuseppe; Schiavone, Luca; Zampini, Alessandro Symmetries and reduction. II: Lagrangian and Hamilton-Jacobi picture. (English) Zbl 07797550 Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2130006, 82 p. (2022). MSC: 70G45 70G65 70H33 70H03 70H20 37J39 PDFBibTeX XMLCite \textit{G. Marmo} et al., Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2130006, 82 p. (2022; Zbl 07797550) Full Text: DOI arXiv
Chung, Seung Whan; Freund, Jonathan B. An optimization method for chaotic turbulent flow. (English) Zbl 1515.76073 J. Comput. Phys. 457, Article ID 111077, 27 p. (2022). MSC: 76F20 65P20 37D45 65K10 49J15 49M05 PDFBibTeX XMLCite \textit{S. W. Chung} and \textit{J. B. Freund}, J. Comput. Phys. 457, Article ID 111077, 27 p. (2022; Zbl 1515.76073) Full Text: DOI
Gubbiotti, G. Classification of variational multiplicative fourth-order difference equations. (English) Zbl 1505.39016 J. Difference Equ. Appl. 28, No. 3, 406-428 (2022). MSC: 39A36 37K60 37J70 PDFBibTeX XMLCite \textit{G. Gubbiotti}, J. Difference Equ. Appl. 28, No. 3, 406--428 (2022; Zbl 1505.39016) Full Text: DOI
Anastopoulos, Charis; Lagouvardos, Michalis; Savvidou, Konstantina Gravitational effects in macroscopic quantum systems: a first-principles analysis. (English) Zbl 1482.83040 Classical Quantum Gravity 38, No. 15, Article ID 155012, 29 p. (2021). MSC: 83C45 83C55 83C30 70H45 81P40 83E05 37F50 PDFBibTeX XMLCite \textit{C. Anastopoulos} et al., Classical Quantum Gravity 38, No. 15, Article ID 155012, 29 p. (2021; Zbl 1482.83040) Full Text: DOI arXiv
Hirsh, Seth M.; Harris, Kameron Decker; Kutz, J. Nathan; Brunton, Bingni W. Centering data improves the dynamic mode decomposition. (English) Zbl 1465.37092 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1920-1955 (2020). MSC: 37M10 65P99 PDFBibTeX XMLCite \textit{S. M. Hirsh} et al., SIAM J. Appl. Dyn. Syst. 19, No. 3, 1920--1955 (2020; Zbl 1465.37092) Full Text: DOI arXiv
Huang, Zhu; Boyd, John P. When integration sparsification fails: banded Galerkin discretizations for Hermite functions, rational Chebyshev functions and sinh-mapped Fourier functions on an infinite domain, and Chebyshev methods for solutions with \(C^\infty\) endpoint singularities. (English) Zbl 07316658 Math. Comput. Simul. 160, 82-102 (2019). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{Z. Huang} and \textit{J. P. Boyd}, Math. Comput. Simul. 160, 82--102 (2019; Zbl 07316658) Full Text: DOI
Klein, Christian; Stoilov, Nikola Numerical scattering for the defocusing Davey-Stewartson II equation for initial data with compact support. (English) Zbl 1428.35520 Nonlinearity 32, No. 11, 4258-4280 (2019). MSC: 35Q55 65N35 65N80 35B40 37K15 PDFBibTeX XMLCite \textit{C. Klein} and \textit{N. Stoilov}, Nonlinearity 32, No. 11, 4258--4280 (2019; Zbl 1428.35520) Full Text: DOI arXiv
Terekhovich, Vladislav Metaphysics of the principle of least action. (English) Zbl 1390.00063 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 62, 189-201 (2018). MSC: 00A79 37J50 PDFBibTeX XMLCite \textit{V. Terekhovich}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 62, 189--201 (2018; Zbl 1390.00063) Full Text: DOI arXiv
Pritula, G. M.; Petrenko, E. V.; Usatenko, O. V. Adiabatic dynamics of one-dimensional classical Hamiltonian dissipative systems. (English) Zbl 1383.37061 Phys. Lett., A 382, No. 8, 548-553 (2018). MSC: 37L05 81Q70 70H03 70H11 PDFBibTeX XMLCite \textit{G. M. Pritula} et al., Phys. Lett., A 382, No. 8, 548--553 (2018; Zbl 1383.37061) Full Text: DOI arXiv
Mergel, Janine C.; Sauer, Roger A.; Ober-Blöbaum, Sina \(C^1\)-continuous space-time discretization based on Hamilton’s law of varying action. (English) Zbl 07775183 ZAMM, Z. Angew. Math. Mech. 97, No. 4, 433-457 (2017). MSC: 37M15 65P10 70H25 74B20 74H15 74S05 PDFBibTeX XMLCite \textit{J. C. Mergel} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 4, 433--457 (2017; Zbl 07775183) Full Text: DOI arXiv
Chakraborty, Subenoy A new stability criterion for general cylindrical thin-shell wormholes. (English) Zbl 1380.83045 Gen. Relativ. Gravitation 49, No. 3, Paper No. 47, 9 p. (2017). MSC: 83C15 83C75 37N20 PDFBibTeX XMLCite \textit{S. Chakraborty}, Gen. Relativ. Gravitation 49, No. 3, Paper No. 47, 9 p. (2017; Zbl 1380.83045) Full Text: DOI
Baars, S.; Viebahn, J. P.; Mulder, T. E.; Kuehn, C.; Wubs, F. W.; Dijkstra, H. A. Continuation of probability density functions using a generalized Lyapunov approach. (English) Zbl 1375.35639 J. Comput. Phys. 336, 627-643 (2017). MSC: 35R60 35Q86 37N10 37H10 86A05 35Q35 PDFBibTeX XMLCite \textit{S. Baars} et al., J. Comput. Phys. 336, 627--643 (2017; Zbl 1375.35639) Full Text: DOI arXiv Link
Casetta, Leonardo; Irschik, Hans; Pesce, Celso Pupo A generalization of Noether’s theorem for a non-material volume. (English) Zbl 07775058 ZAMM, Z. Angew. Math. Mech. 96, No. 6, 696-706 (2016). MSC: 70Hxx 70Pxx 37Jxx PDFBibTeX XMLCite \textit{L. Casetta} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 6, 696--706 (2016; Zbl 07775058) Full Text: DOI
Thompson, J. Michael T. Chaos, fractals and their applications. (English) Zbl 1354.34002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1630035, 22 p. (2016). MSC: 34-01 37-01 34C28 28A80 37D45 37F50 37Nxx PDFBibTeX XMLCite \textit{J. M. T. Thompson}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 13, Article ID 1630035, 22 p. (2016; Zbl 1354.34002) Full Text: DOI
Irtegov, V. D.; Titorenko, T. N. Particular solutions of the Hamilton-Jacobi equation and their usage. (English. Russian original) Zbl 1358.70026 Differ. Equ. 52, No. 3, 292-305 (2016); translation from Differ. Uravn. 52, No. 3, 301-313 (2016). MSC: 70H20 37J15 34D35 PDFBibTeX XMLCite \textit{V. D. Irtegov} and \textit{T. N. Titorenko}, Differ. Equ. 52, No. 3, 292--305 (2016; Zbl 1358.70026); translation from Differ. Uravn. 52, No. 3, 301--313 (2016) Full Text: DOI
Casetta, Leonardo A theorem on energy integrals for linear second-order ordinary differential equations with variable coefficients. (English) Zbl 1330.34065 Appl. Math. Lett. 51, 8-12 (2016). MSC: 34C20 70H03 70H05 70H33 37J05 37N05 PDFBibTeX XMLCite \textit{L. Casetta}, Appl. Math. Lett. 51, 8--12 (2016; Zbl 1330.34065) Full Text: DOI
Natsiavas, S.; Paraskevopoulos, E. A set of ordinary differential equations of motion for constrained mechanical systems. (English) Zbl 1331.70056 Nonlinear Dyn. 79, No. 3, 1911-1938 (2015). MSC: 70H45 70F20 70F25 70G45 37N05 PDFBibTeX XMLCite \textit{S. Natsiavas} and \textit{E. Paraskevopoulos}, Nonlinear Dyn. 79, No. 3, 1911--1938 (2015; Zbl 1331.70056) Full Text: DOI
Pihajoki, Pauli Explicit methods in extended phase space for inseparable Hamiltonian problems. (English) Zbl 1314.37060 Celest. Mech. Dyn. Astron. 121, No. 3, 211-231 (2015). MSC: 37M15 65P10 PDFBibTeX XMLCite \textit{P. Pihajoki}, Celest. Mech. Dyn. Astron. 121, No. 3, 211--231 (2015; Zbl 1314.37060) Full Text: DOI arXiv
Duplij, Steven Formulation of singular theories in a partial Hamiltonian formalism using a new bracket and multi-time dynamics. (English) Zbl 1307.37029 Int. J. Geom. Methods Mod. Phys. 12, No. 1, Article ID 1550001, 19 p. (2015). MSC: 37J05 44A15 70H45 PDFBibTeX XMLCite \textit{S. Duplij}, Int. J. Geom. Methods Mod. Phys. 12, No. 1, Article ID 1550001, 19 p. (2015; Zbl 1307.37029) Full Text: DOI arXiv
Casetta, Leonardo The inverse problem of Lagrangian mechanics for a non-material volume. (English) Zbl 1328.70010 Acta Mech. 226, No. 1, 1-15 (2015). MSC: 70H03 70H30 49N45 37J05 PDFBibTeX XMLCite \textit{L. Casetta}, Acta Mech. 226, No. 1, 1--15 (2015; Zbl 1328.70010) Full Text: DOI
Bostwick, J. B.; Steen, P. H. Dynamics of sessile drops. I: Inviscid theory. (English) Zbl 1331.76046 J. Fluid Mech. 760, 5-38 (2014). MSC: 76D45 76D05 37N10 PDFBibTeX XMLCite \textit{J. B. Bostwick} and \textit{P. H. Steen}, J. Fluid Mech. 760, 5--38 (2014; Zbl 1331.76046) Full Text: DOI
Elsayed, Tarek A. A generalization of Fermat’s principle for classical and quantum systems. (English) Zbl 1303.49018 Phys. Lett., A 378, No. 44, 3205-3209 (2014). MSC: 49S05 37N20 70H30 PDFBibTeX XMLCite \textit{T. A. Elsayed}, Phys. Lett., A 378, No. 44, 3205--3209 (2014; Zbl 1303.49018) Full Text: DOI arXiv
Lin, T. L.; Wang, R.; Bi, W. P.; El Kaabouchi, A.; Pujos, C.; Calvayrac, F.; Wang, Q. A. Path probability distribution of stochastic motion of non dissipative systems: a classical analog of Feynman factor of path integral. (English) Zbl 1355.37100 Chaos Solitons Fractals 57, 129-136 (2013). MSC: 37N05 37H10 60H10 65C30 PDFBibTeX XMLCite \textit{T. L. Lin} et al., Chaos Solitons Fractals 57, 129--136 (2013; Zbl 1355.37100) Full Text: DOI arXiv
Capobianco, Silvio; Toffoli, Tommaso Conserved quantities in discrete dynamics: what can be recovered from Noether’s theorem, how, and why? (English) Zbl 1332.37013 Nat. Comput. 11, No. 4, 565-577 (2012). MSC: 37B15 PDFBibTeX XMLCite \textit{S. Capobianco} and \textit{T. Toffoli}, Nat. Comput. 11, No. 4, 565--577 (2012; Zbl 1332.37013) Full Text: DOI
Tamir, Michael Proving the principle: taking geodesic dynamics too seriously in Einstein’s theory. (English) Zbl 1281.83012 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 43, No. 2, 137-154 (2012). MSC: 83C10 37D40 53D25 00A79 PDFBibTeX XMLCite \textit{M. Tamir}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 43, No. 2, 137--154 (2012; Zbl 1281.83012) Full Text: DOI Link
Flannery, M. R. D’alembert-Lagrange analytical dynamics for nonholonomic systems. (English) Zbl 1315.70008 J. Math. Phys. 52, No. 3, 032705, 29 p. (2011). MSC: 70F25 70H03 37J60 PDFBibTeX XMLCite \textit{M. R. Flannery}, J. Math. Phys. 52, No. 3, 032705, 29 p. (2011; Zbl 1315.70008) Full Text: DOI
Eyink, Gregory L. Stochastic least-action principle for the incompressible Navier-Stokes equation. (English) Zbl 1193.37117 Physica D 239, No. 14, 1236-1240 (2010). MSC: 37N10 76D05 60H30 35Q30 PDFBibTeX XMLCite \textit{G. L. Eyink}, Physica D 239, No. 14, 1236--1240 (2010; Zbl 1193.37117) Full Text: DOI arXiv
Leine, R. I.; Aeberhard, U.; Glocker, C. Hamilton’s principle as variational inequality for mechanical systems with impact. (English) Zbl 1183.37105 J. Nonlinear Sci. 19, No. 6, 633-664 (2009). MSC: 37J55 70H25 47J20 49J52 PDFBibTeX XMLCite \textit{R. I. Leine} et al., J. Nonlinear Sci. 19, No. 6, 633--664 (2009; Zbl 1183.37105) Full Text: DOI Link
Dehghan, Mehdi; Shakeri, Fatemeh The numerical solution of the second Painlevé equation. (English) Zbl 1172.65037 Numer. Methods Partial Differ. Equations 25, No. 5, 1238-1259 (2009). MSC: 65L05 34M55 35Q53 37K10 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{F. Shakeri}, Numer. Methods Partial Differ. Equations 25, No. 5, 1238--1259 (2009; Zbl 1172.65037) Full Text: DOI
Xu, Daolin; Khanmohamadi, Omid Spatiotemporal system reconstruction using Fourier spectral operators and structure selection techniques. (English) Zbl 1309.37077 Chaos 18, No. 4, 043122, 9 p. (2008). MSC: 37M10 92C20 93E12 PDFBibTeX XMLCite \textit{D. Xu} and \textit{O. Khanmohamadi}, Chaos 18, No. 4, 043122, 9 p. (2008; Zbl 1309.37077) Full Text: DOI Link
Lavenda, B. H. Geometric entropies of mixing (EOM). (English) Zbl 1098.94012 Open Syst. Inf. Dyn. 13, No. 1, 91-101 (2006). MSC: 94A17 37A35 60E99 PDFBibTeX XMLCite \textit{B. H. Lavenda}, Open Syst. Inf. Dyn. 13, No. 1, 91--101 (2006; Zbl 1098.94012) Full Text: DOI arXiv
Pucacco, Giuseppe; Rosquist, Kjell Configurational invariants of Hamiltonian systems. (English) Zbl 1110.70020 J. Math. Phys. 46, No. 5, 052902, 21 p. (2005). MSC: 70H05 37J05 37J30 70H07 PDFBibTeX XMLCite \textit{G. Pucacco} and \textit{K. Rosquist}, J. Math. Phys. 46, No. 5, 052902, 21 p. (2005; Zbl 1110.70020) Full Text: DOI arXiv
Giberti, C.; Rondoni, L.; Vernia, C. Coexistence of chaotic and non-chaotic states in the two-dimensional Gauss–Navier–Stokes dynamics. (English) Zbl 1098.76526 Physica D 187, No. 1-4, 358-369 (2004). MSC: 76D05 76F20 37N10 PDFBibTeX XMLCite \textit{C. Giberti} et al., Physica D 187, No. 1--4, 358--369 (2004; Zbl 1098.76526) Full Text: DOI
Tsiganov, A. V. The Maupertuis principle and canonical transformations of the extended phase space. (English) Zbl 0974.35118 J. Nonlinear Math. Phys. 8, No. 1, 157-182 (2001). MSC: 35Q58 37K60 37K35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Nonlinear Math. Phys. 8, No. 1, 157--182 (2001; Zbl 0974.35118) Full Text: DOI arXiv
Tsyganov, A. V. Canonical transformations of the extended phase space and integrable systems. (English. Russian original) Zbl 1031.37048 Theor. Math. Phys. 124, No. 1, 918-937 (2000); translation from Teor. Mat. Fiz. 124, No. 1, 72-94 (2000). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 70H15 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Theor. Math. Phys. 124, No. 1, 918--937 (2000; Zbl 1031.37048); translation from Teor. Mat. Fiz. 124, No. 1, 72--94 (2000) Full Text: DOI
Ahlbrandt, Calvin D.; Bohner, Martin; Ridenhour, Jerry Hamiltonian systems on time scales. (English) Zbl 0966.39010 J. Math. Anal. Appl. 250, No. 2, 561-578 (2000). Reviewer: Ondřej Došlý (Brno) MSC: 39A12 37J10 PDFBibTeX XMLCite \textit{C. D. Ahlbrandt} et al., J. Math. Anal. Appl. 250, No. 2, 561--578 (2000; Zbl 0966.39010) Full Text: DOI Link
Szydłowski, Marek The general relativity dynamics in the Eisenhart geometry. (English) Zbl 0952.83008 Chaos Solitons Fractals 11, No. 5, 685-695 (2000). Reviewer: Gheorghe Zet (Iaşi) MSC: 83C05 37N20 53C50 83C10 PDFBibTeX XMLCite \textit{M. Szydłowski}, Chaos Solitons Fractals 11, No. 5, 685--695 (2000; Zbl 0952.83008) Full Text: DOI
Rosquist, Kjell The classical \(r\)-matrix in a geometric framework. (English) Zbl 0955.37048 Phys. Lett., A 259, No. 3-4, 254-259 (1999). MSC: 37K10 81R12 82B23 PDFBibTeX XMLCite \textit{K. Rosquist}, Phys. Lett., A 259, No. 3--4, 254--259 (1999; Zbl 0955.37048) Full Text: DOI arXiv
Rosquist, Kjell; Goliath, Martin Lax pair tensors and integrable spacetimes. (English) Zbl 1047.83508 Gen. Relativ. Gravitation 30, No. 10, 1521-1534 (1998). MSC: 83C15 37N20 PDFBibTeX XMLCite \textit{K. Rosquist} and \textit{M. Goliath}, Gen. Relativ. Gravitation 30, No. 10, 1521--1534 (1998; Zbl 1047.83508) Full Text: DOI arXiv
Emel’yanova, I. S. Jacobi method and the eikonal equation. (English. Russian original) Zbl 0899.35017 Comput. Math. Model. 9, No. 1, 55-63 (1998); translation from Metody Analiza Nelinejnykh Sistem, Moscow University, 1997, 63-72 (1997). Reviewer: S.Mirica (Bucureşti) MSC: 35C05 37J35 37K10 35A25 35A30 58J70 PDFBibTeX XMLCite \textit{I. S. Emel'yanova}, Comput. Math. Model. 9, No. 1, 55--63 (1997; Zbl 0899.35017); translation from Metody Analiza Nelinejnykh Sistem, Moscow University, 1997, 63--72 (1997) Full Text: DOI
Shibberu, Y. Time-discretization of Hamiltonian dynamical systems. (English) Zbl 0810.65069 Comput. Math. Appl. 28, No. 10-12, 123-145 (1994). Reviewer: Y.Cherruault (Paris) MSC: 65L05 65L12 37-XX 34A34 PDFBibTeX XMLCite \textit{Y. Shibberu}, Comput. Math. Appl. 28, No. 10--12, 123--145 (1994; Zbl 0810.65069) Full Text: DOI Link
Gavelek, D.; Erber, T. Shadowing and iterative interpolation for Čebyšev mixing transformations. (English) Zbl 0756.58037 J. Comput. Phys. 101, No. 1, 25-50 (1992). MSC: 37D99 41A50 33C45 PDFBibTeX XMLCite \textit{D. Gavelek} and \textit{T. Erber}, J. Comput. Phys. 101, No. 1, 25--50 (1992; Zbl 0756.58037) Full Text: DOI
Bates, Larry; Śniatycki, Jȩdrzej On action-angle variables. (English) Zbl 0781.58010 Arch. Ration. Mech. Anal. 120, No. 4, 337-343 (1992). Reviewer: J.Chrastina (Brno) MSC: 37J35 37K10 70H05 PDFBibTeX XMLCite \textit{L. Bates} and \textit{J. Śniatycki}, Arch. Ration. Mech. Anal. 120, No. 4, 337--343 (1992; Zbl 0781.58010) Full Text: DOI
Ferraz-Mello, S. On resonance. (English) Zbl 0664.70034 Celestial Mech. 43, No. 1-4, 69-89 (1988). MSC: 70K30 70F15 37J99 PDFBibTeX XMLCite \textit{S. Ferraz-Mello}, Celest. Mech. 43, No. 1--4, 69--89 (1988; Zbl 0664.70034) Full Text: DOI