Gannot, Oran Frequency criteria for exponential stability. (English) Zbl 07635235 IMA J. Math. Control Inf. 39, No. 4, 1034-1065 (2022). MSC: 93D23 93C80 93D10 93B52 93C10 PDF BibTeX XML Cite \textit{O. Gannot}, IMA J. Math. Control Inf. 39, No. 4, 1034--1065 (2022; Zbl 07635235) Full Text: DOI arXiv OpenURL
Mohammadian, M. Approximate analytical solutions to nonlinear damped oscillatory systems using a modified algebraic method. (English. Russian original) Zbl 1459.65105 J. Appl. Mech. Tech. Phys. 62, No. 1, 70-78 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 1, 78-87 (2021). MSC: 65L05 34C15 PDF BibTeX XML Cite \textit{M. Mohammadian}, J. Appl. Mech. Tech. Phys. 62, No. 1, 70--78 (2021; Zbl 1459.65105); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 1, 78--87 (2021) Full Text: DOI OpenURL
Enaka, Yukihide; Onitsuka, Masakazu Integral averaging technique for oscillation of damped half-linear oscillators. (English) Zbl 1488.34234 Czech. Math. J. 68, No. 3, 755-770 (2018). MSC: 34C10 34C15 34C29 PDF BibTeX XML Cite \textit{Y. Enaka} and \textit{M. Onitsuka}, Czech. Math. J. 68, No. 3, 755--770 (2018; Zbl 1488.34234) Full Text: DOI OpenURL
Ishihara, Kazuki; Sugie, Jitsuro Uniform asymptotic stability of time-varying damped harmonic oscillators. (English) Zbl 1382.34062 Proc. Am. Math. Soc., Ser. B 4, 31-46 (2017). MSC: 34D20 34C15 37C60 PDF BibTeX XML Cite \textit{K. Ishihara} and \textit{J. Sugie}, Proc. Am. Math. Soc., Ser. B 4, 31--46 (2017; Zbl 1382.34062) Full Text: DOI OpenURL
Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe Conservative methods for dynamical systems. (English) Zbl 1375.65104 SIAM J. Numer. Anal. 55, No. 5, 2255-2285 (2017). MSC: 65L12 34A34 65L05 65P10 37M15 65L20 70F05 PDF BibTeX XML Cite \textit{A. T. S. Wan} et al., SIAM J. Numer. Anal. 55, No. 5, 2255--2285 (2017; Zbl 1375.65104) Full Text: DOI arXiv OpenURL
Chou, Chia-Chun Dissipative quantum trajectories in complex space: damped harmonic oscillator. (English) Zbl 1380.81102 Ann. Phys. 373, 325-345 (2016). MSC: 81Q05 35Q55 35C08 PDF BibTeX XML Cite \textit{C.-C. Chou}, Ann. Phys. 373, 325--345 (2016; Zbl 1380.81102) Full Text: DOI OpenURL
Pereguda, O. V.; Kovtun, O. I. The behaviour of solutions of a system of two damped stochastic oscillators. (Ukrainian. English summary) Zbl 1374.34227 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 2, 15-18 (2016). MSC: 34F05 34C15 60H10 34D05 34A30 PDF BibTeX XML Cite \textit{O. V. Pereguda} and \textit{O. I. Kovtun}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 2, 15--18 (2016; Zbl 1374.34227) OpenURL
Zait, R. A.; El-Shekhipy, A. A.; Abdo, N. M. Statistical measures approximations for the Gaussian part of the stochastic nonlinear damped Duffing oscillator solution process under the application of Wiener Hermite expansion linked by the multi-step differential transformed method. (English) Zbl 1342.65013 J. Egypt. Math. Soc. 24, No. 3, 437-448 (2016). MSC: 65C30 60H10 60H35 34K50 PDF BibTeX XML Cite \textit{R. A. Zait} et al., J. Egypt. Math. Soc. 24, No. 3, 437--448 (2016; Zbl 1342.65013) Full Text: DOI OpenURL
Guo, Yong-Feng; Shen, Ya-Jun; Tan, Jian-Guo Effects of colored noise and external periodic force on the time derivative of information entropy for a damped harmonic oscillator. (English) Zbl 1338.94038 Appl. Math. Comput. 252, 20-26 (2015). MSC: 94A17 34C15 PDF BibTeX XML Cite \textit{Y.-F. Guo} et al., Appl. Math. Comput. 252, 20--26 (2015; Zbl 1338.94038) Full Text: DOI OpenURL
Batouli, J.; El Baz, M.; Maaouni, A. RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass. (English) Zbl 1323.81043 Phys. Lett., A 379, No. 28-29, 1619-1626 (2015). MSC: 81R30 34C15 94C99 PDF BibTeX XML Cite \textit{J. Batouli} et al., Phys. Lett., A 379, No. 28--29, 1619--1626 (2015; Zbl 1323.81043) Full Text: DOI OpenURL
Sugie, Jitsuro; Kira, Kazuya Uniform global asymptotic stability for oscillators with superlinear damping. (English) Zbl 1337.34056 J. Math. Anal. Appl. 425, No. 2, 827-853 (2015). Reviewer: Olufemi Adeyinka Adesina (Ile-Ife) MSC: 34D20 34C15 PDF BibTeX XML Cite \textit{J. Sugie} and \textit{K. Kira}, J. Math. Anal. Appl. 425, No. 2, 827--853 (2015; Zbl 1337.34056) Full Text: DOI OpenURL
Cveticanin, L. On the truly nonlinear oscillator with positive and negative damping. (English) Zbl 1335.34069 Appl. Math. Comput. 243, 433-445 (2014). MSC: 34C15 PDF BibTeX XML Cite \textit{L. Cveticanin}, Appl. Math. Comput. 243, 433--445 (2014; Zbl 1335.34069) Full Text: DOI OpenURL
Sugie, Jitsuro; Yamasaki, Takashi Global dynamics of Froude-type oscillators with superlinear damping terms. (English) Zbl 1374.34208 Acta Appl. Math. 130, No. 1, 81-113 (2014). MSC: 34D05 34D23 34D45 37B25 34C15 PDF BibTeX XML Cite \textit{J. Sugie} and \textit{T. Yamasaki}, Acta Appl. Math. 130, No. 1, 81--113 (2014; Zbl 1374.34208) Full Text: DOI OpenURL
Rath, Biswanath; Agarwalla, Snigdha Nonlinear oscillator: controlled and uncontrolled vibrations. (English) Zbl 1284.34048 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 1, 83-86 (2014). MSC: 34C15 49J21 PDF BibTeX XML Cite \textit{B. Rath} and \textit{S. Agarwalla}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 1, 83--86 (2014; Zbl 1284.34048) Full Text: DOI OpenURL
Sugie, Jitsuro; Onitsuka, Masakazu Growth conditions for uniform asymptotic stability of damped oscillators. (English) Zbl 1291.34096 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 83-103 (2014). Reviewer: Fozi Dannan (Damascus) MSC: 34D20 34D05 34C15 PDF BibTeX XML Cite \textit{J. Sugie} and \textit{M. Onitsuka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 83--103 (2014; Zbl 1291.34096) Full Text: DOI OpenURL
Hata, S.; Sugie, J. A necessary and sufficient condition for the global asymptotic stability of damped half-linear oscillators. (English) Zbl 1299.34193 Acta Math. Hung. 138, No. 1-2, 156-172 (2013). MSC: 34D23 34D45 34C15 34C20 PDF BibTeX XML Cite \textit{S. Hata} and \textit{J. Sugie}, Acta Math. Hung. 138, No. 1--2, 156--172 (2013; Zbl 1299.34193) Full Text: DOI OpenURL
Sugie, Jitsuro Smith-type criterion for the asymptotic stability of a pendulum with time-dependent damping. (English) Zbl 1273.34061 Proc. Am. Math. Soc. 141, No. 7, 2419-2427 (2013). Reviewer: Oleg Anashkin (Simferopol) MSC: 34D20 34C15 PDF BibTeX XML Cite \textit{J. Sugie}, Proc. Am. Math. Soc. 141, No. 7, 2419--2427 (2013; Zbl 1273.34061) Full Text: DOI OpenURL
Sugie, Jitsuro; Shimadu, Tsunehiko; Yamasaki, Takashi Global asymptotic stability for oscillators with superlinear damping. (English) Zbl 1273.34062 J. Dyn. Differ. Equations 24, No. 4, 777-802 (2012). Reviewer: Rong Yuan (Beijing) MSC: 34D23 34D05 34D45 34C15 PDF BibTeX XML Cite \textit{J. Sugie} et al., J. Dyn. Differ. Equations 24, No. 4, 777--802 (2012; Zbl 1273.34062) Full Text: DOI OpenURL
Fay, Temple H. Coulomb damping. (English) Zbl 1260.97008 Int. J. Math. Educ. Sci. Technol. 43, No. 7, 923-936 (2012). MSC: 97M50 97I70 34C15 70E18 70E17 PDF BibTeX XML Cite \textit{T. H. Fay}, Int. J. Math. Educ. Sci. Technol. 43, No. 7, 923--936 (2012; Zbl 1260.97008) Full Text: DOI OpenURL
Fay, Temple H. Quadratic damping. (English) Zbl 1257.97009 Int. J. Math. Educ. Sci. Technol. 43, No. 6, 789-803 (2012). MSC: 97M50 97I70 34C15 70E17 PDF BibTeX XML Cite \textit{T. H. Fay}, Int. J. Math. Educ. Sci. Technol. 43, No. 6, 789--803 (2012; Zbl 1257.97009) Full Text: DOI OpenURL
Elías-Zúñiga, Alex Analytical solution of the damped Helmholtz-Duffing equation. (English) Zbl 1259.34004 Appl. Math. Lett. 25, No. 12, 2349-2353 (2012). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34A34 PDF BibTeX XML Cite \textit{A. Elías-Zúñiga}, Appl. Math. Lett. 25, No. 12, 2349--2353 (2012; Zbl 1259.34004) Full Text: DOI OpenURL
Pereguda, O. V. Behaviour of solutions of a system of two damped harmonic oscillators. (Ukrainian. English summary) Zbl 1249.34121 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, 111-114 (2011). MSC: 34C15 34H05 PDF BibTeX XML Cite \textit{O. V. Pereguda}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 22, 111--114 (2011; Zbl 1249.34121) OpenURL
Matinfar, M.; Nodeh, S. Jafar Application of He’s variational iteration method for solving damped forced oscillator problem. (English) Zbl 1247.47077 J. Pure Appl. Math., Adv. Appl. 3, No. 2, 147-151 (2010). MSC: 47J30 49S05 PDF BibTeX XML Cite \textit{M. Matinfar} and \textit{S. J. Nodeh}, J. Pure Appl. Math., Adv. Appl. 3, No. 2, 147--151 (2010; Zbl 1247.47077) Full Text: Link OpenURL
Clerc, Marcel G.; Coulibaly, Saliya; Laroze, David Localized states and non-variational Ising-Bloch transition of a parametrically driven easy-plane ferromagnetic wire. (English) Zbl 1189.82023 Physica D 239, No. 1-2, 72-86 (2010). MSC: 82B20 82D40 35Q55 PDF BibTeX XML Cite \textit{M. G. Clerc} et al., Physica D 239, No. 1--2, 72--86 (2010; Zbl 1189.82023) Full Text: DOI OpenURL
Pašić, Mervan; Žubrinić, Darko; Županović, Vesna Oscillatory and phase dimensions of solutions of some second-order differential equations. (English) Zbl 1198.34052 Bull. Sci. Math. 133, No. 8, 859-874 (2009). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C10 37C45 28A80 PDF BibTeX XML Cite \textit{M. Pašić} et al., Bull. Sci. Math. 133, No. 8, 859--874 (2009; Zbl 1198.34052) Full Text: DOI OpenURL
Delphenich, D. H. Integrability and the variational formulation of non-conservative mechanical systems. (English) Zbl 1156.70008 Ann. Phys. (8) 18, No. 1, 45-56 (2009). MSC: 70G75 70G45 70K40 PDF BibTeX XML Cite \textit{D. H. Delphenich}, Ann. Phys. (8) 18, No. 1, 45--56 (2009; Zbl 1156.70008) Full Text: DOI arXiv OpenURL
Genta, Giancarlo Vibration dynamics and control. (English) Zbl 1160.93002 Mechanical Engineering Series. New York, NY: Springer (ISBN 978-0-387-79579-9/hbk; 978-0-387-79580-5/ebook). xxiv, 855 p. (2009). Reviewer: Jan Lovíšek (Bratislava) MSC: 93-02 74-02 70-02 74H45 70Jxx PDF BibTeX XML Cite \textit{G. Genta}, Vibration dynamics and control. New York, NY: Springer (2009; Zbl 1160.93002) Full Text: DOI OpenURL
Li, Ti-Jun Exact wave functions and coherent states for a forced damped harmonic oscillator. (English) Zbl 1172.35492 Rep. Math. Phys. 62, No. 2, 157-165 (2008). MSC: 35Q55 35L05 81V80 PDF BibTeX XML Cite \textit{T.-J. Li}, Rep. Math. Phys. 62, No. 2, 157--165 (2008; Zbl 1172.35492) Full Text: DOI OpenURL
Pashaev, Oktay Dissipative solitons and nonlinear resonance dynamics in \(2+1\) dimensions. (English) Zbl 1129.37040 Taş, K. (ed.) et al., Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27–29, 2006. Dordrecht: Springer (ISBN 978-1-4020-5677-2/hbk; 978-1-4020-5678-9/e-book). 435-444 (2007). MSC: 37K10 35Q51 PDF BibTeX XML Cite \textit{O. Pashaev}, in: Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27--29, 2006. Dordrecht: Springer. 435--444 (2007; Zbl 1129.37040) Full Text: DOI OpenURL
Hatvani, László The growth condition guaranteeing small solutions for a linear oscillator with an increasing elasticity coefficient. (English) Zbl 1131.34029 Georgian Math. J. 14, No. 2, 269-278 (2007). Reviewer: Iryna Grytsay (Kyiv) MSC: 34C11 34D05 70J25 34A30 34C15 PDF BibTeX XML Cite \textit{L. Hatvani}, Georgian Math. J. 14, No. 2, 269--278 (2007; Zbl 1131.34029) OpenURL
Gitterman, Moshe The noisy oscillator. The first hundred years, from Einstein until now. (English) Zbl 1145.34002 Hackensack, NJ: World Scientific (ISBN 981-256-512-4/hbk). xiv, 144 p. (2005). Reviewer: Iulian Stoleriu (Iaşi) MSC: 34-02 34C10 34C15 34F05 60H10 70L05 82C05 PDF BibTeX XML Cite \textit{M. Gitterman}, The noisy oscillator. The first hundred years, from Einstein until now. Hackensack, NJ: World Scientific (2005; Zbl 1145.34002) OpenURL
Díaz, J. I.; Liñán, A. On the asymptotic behavior for a damped oscillator under a sublinear friction. (English) Zbl 1018.34051 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 95, No. 1, 155-160 (2001). MSC: 34D05 70K20 34A12 34C15 PDF BibTeX XML Cite \textit{J. I. Díaz} and \textit{A. Liñán}, RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 95, No. 1, 155--160 (2001; Zbl 1018.34051) Full Text: Link OpenURL
Qian, Shangwu; Huang, Bowen; Gu, Zhiyu Ermakov invariant and the general solution for a damped harmonic oscillator with a force quadratic in velocity. (English) Zbl 1003.70017 J. Phys. A, Math. Gen. 34, No. 27, 5613-5617 (2001). MSC: 70K40 70P05 34C15 PDF BibTeX XML Cite \textit{S. Qian} et al., J. Phys. A, Math. Gen. 34, No. 27, 5613--5617 (2001; Zbl 1003.70017) Full Text: DOI OpenURL
Datta, S.; Bhattacharjee, J. K. Effect of stochastic forcing on the Duffing oscillator. (English) Zbl 1008.70018 Phys. Lett., A 283, No. 5-6, 323-326 (2001). MSC: 70L05 70K40 PDF BibTeX XML Cite \textit{S. Datta} and \textit{J. K. Bhattacharjee}, Phys. Lett., A 283, No. 5--6, 323--326 (2001; Zbl 1008.70018) Full Text: DOI OpenURL
Chen, Y.; Haus, H. A. Manakov solitons and polarization mode dispersion. (English) Zbl 0971.78010 Chaos 10, No. 3, 529-538 (2000). MSC: 78A60 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{H. A. Haus}, Chaos 10, No. 3, 529--538 (2000; Zbl 0971.78010) Full Text: DOI Link OpenURL
Trueba, José L.; Rams, Joaquín; Sanjuán, A. F. Miguel Analytical estimates of the effect of nonlinear damping in some nonlinear oscillators. (English) Zbl 0999.70021 Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 9, 2257-2267 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 70K40 PDF BibTeX XML Cite \textit{J. L. Trueba} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, No. 9, 2257--2267 (2000; Zbl 0999.70021) Full Text: DOI OpenURL
Graef, John R.; Karsai, János Behaviour of solutions of impulsively perturbed non-halflinear oscillator equations. (English) Zbl 0997.34008 J. Math. Anal. Appl. 244, No. 1, 77-96 (2000). Reviewer: Drumi Bainov (Sofia) MSC: 34A37 34C15 34A12 34E05 PDF BibTeX XML Cite \textit{J. R. Graef} and \textit{J. Karsai}, J. Math. Anal. Appl. 244, No. 1, 77--96 (2000; Zbl 0997.34008) Full Text: DOI OpenURL
Basios, V.; Nicolis, G.; Bountis, T. The effect parametric noise on escape rates at the onset of homoclinic chaos. (English) Zbl 0977.70019 Spanos, P. D. (ed.), Computational stochastic mechanics. Proceedings of the 3rd international conference (CSM’98) held on Santorini, Greece, June 14-17, 1998. Rotterdam: A. A. Balkema. 355-363 (1999). MSC: 70L05 70K55 70K44 70K40 PDF BibTeX XML Cite \textit{V. Basios} et al., in: Computational stochastic mechanics. Proceedings of the 3rd international conference (CSM'98) held on Santorini, Greece, June 14--17, 1998. Rotterdam: A. A. Balkema. 355--363 (1999; Zbl 0977.70019) OpenURL
Galvanetto, Ugo; Bishop, Steven R. Dynamics of a simple damped oscillator undergoing stick-slip vibrations. (English) Zbl 0967.70018 Meccanica 34, No. 5, 337-347 (1999). Reviewer: S.Nocilla (Torino) MSC: 70K50 70K40 PDF BibTeX XML Cite \textit{U. Galvanetto} and \textit{S. R. Bishop}, Meccanica 34, No. 5, 337--347 (1999; Zbl 0967.70018) Full Text: DOI OpenURL
Campbell, Sue Ann Stability and bifurcation in the harmonic oscillator with multiple, delayed feedback loops. (English) Zbl 0943.34059 Dyn. Contin. Discrete Impulsive Syst. 5, No. 1-4, 225-235 (1999). MSC: 34K18 34K20 93D15 34C15 34K14 70K05 PDF BibTeX XML Cite \textit{S. A. Campbell}, Dyn. Contin. Discrete Impulsive Syst. 5, No. 1--4, 225--235 (1999; Zbl 0943.34059) OpenURL
Gumel, A. B. Numerical solutions for the canonical escape equation. (English) Zbl 0932.65079 Southeast Asian Bull. Math. 22, No. 4, 373-380 (1998). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 65L06 65L12 34A34 65L20 PDF BibTeX XML Cite \textit{A. B. Gumel}, Southeast Asian Bull. Math. 22, No. 4, 373--380 (1998; Zbl 0932.65079) OpenURL
Karsai, János Asymptotic behavior and its visualization of the solutions of intermittently and impulsively damped nonlinear oscillator equations. (English) Zbl 0908.65067 Appl. Math. Comput. 89, No. 1-3, 161-172 (1998). Reviewer: M.Calvo (Zaragoza) MSC: 65L07 34D30 65L05 34C10 34A34 PDF BibTeX XML Cite \textit{J. Karsai}, Appl. Math. Comput. 89, No. 1--3, 161--172 (1998; Zbl 0908.65067) Full Text: DOI OpenURL
Denman, Harry H. Approximate invariants and Lagrangians for autonomous, weakly nonlinear systems. II: Linear friction. (English) Zbl 0891.70012 Int. J. Non-Linear Mech. 33, No. 2, 301-314 (1998). MSC: 70K40 PDF BibTeX XML Cite \textit{H. H. Denman}, Int. J. Non-Linear Mech. 33, No. 2, 301--314 (1998; Zbl 0891.70012) Full Text: DOI OpenURL
Iobe, Atsushi; Abe, Yutaka Fractal-like basin boundaries and indeterminate transition in nonlinear resonance of a Toda oscillator. (English) Zbl 0899.58046 Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 7, 1673-1678 (1997). MSC: 37G99 PDF BibTeX XML Cite \textit{A. Iobe} and \textit{Y. Abe}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 7, 1673--1678 (1997; Zbl 0899.58046) Full Text: DOI OpenURL
Graef, John R.; Karsai, János Asymptotic properties of nonoscillatory solutions of impulsively damped nonlinear oscillator equations. (English) Zbl 0876.34012 Dyn. Contin. Discrete Impulsive Syst. 3, No. 2, 151-165 (1997). MSC: 34A37 34C15 34D05 34D20 PDF BibTeX XML Cite \textit{J. R. Graef} and \textit{J. Karsai}, Dyn. Contin. Discrete Impulsive Syst. 3, No. 2, 151--165 (1997; Zbl 0876.34012) OpenURL
Graef, John R.; Karsai, János On the asymptotic behavior of solutions of impulsively damped nonlinear oscillator equations. (English) Zbl 0851.34051 J. Comput. Appl. Math. 71, No. 1, 147-162 (1996). MSC: 34D05 34C15 34D20 34A37 PDF BibTeX XML Cite \textit{J. R. Graef} and \textit{J. Karsai}, J. Comput. Appl. Math. 71, No. 1, 147--162 (1996; Zbl 0851.34051) Full Text: DOI OpenURL
Boese, F. G. On the stability of the damped harmonic oscillator with one delayed and one undelayed restoring force and constant interval-valued parameters. (English) Zbl 0900.70287 Z. Angew. Math. Mech. 76, Suppl. 2, 483-484 (1996). MSC: 70K20 PDF BibTeX XML Cite \textit{F. G. Boese}, Z. Angew. Math. Mech. 76, 483--484 (1996; Zbl 0900.70287) Full Text: DOI OpenURL
Belhaq, M.; Houssni, M. Symmetry-breaking and first-period-doubling following a Hopf bifurcation in a three-dimensional system. (English) Zbl 0853.70016 Mech. Res. Commun. 22, No. 3, 221-231 (1995). Reviewer: H.Troger (Wien) MSC: 70K99 37G99 34C23 PDF BibTeX XML Cite \textit{M. Belhaq} and \textit{M. Houssni}, Mech. Res. Commun. 22, No. 3, 221--231 (1995; Zbl 0853.70016) Full Text: DOI OpenURL
Jones, S. E. Further results on the construction of general solutions to some nonlinear, second order, non-conservative systems. (English) Zbl 0837.34005 Int. J. Non-Linear Mech. 30, No. 3, 381-390 (1995). MSC: 34A05 70K40 34A25 PDF BibTeX XML Cite \textit{S. E. Jones}, Int. J. Non-Linear Mech. 30, No. 3, 381--390 (1995; Zbl 0837.34005) Full Text: DOI OpenURL
Cveticanin, L. Adiabatic invariants of quasi-pure-cubic oscillators. (English) Zbl 0982.70520 J. Sound Vib. 183, No. 5, 881-888 (1995). MSC: 70K99 70P05 PDF BibTeX XML Cite \textit{L. Cveticanin}, J. Sound Vib. 183, No. 5, 881--888 (1995; Zbl 0982.70520) Full Text: DOI OpenURL
Denman, Harry H. Approximate invariants and Lagrangians for autonomous, weakly nonlinear systems. (English) Zbl 0809.70017 Int. J. Non-Linear Mech. 29, No. 3, 409-419 (1994). MSC: 70K40 70H03 PDF BibTeX XML Cite \textit{H. H. Denman}, Int. J. Non-Linear Mech. 29, No. 3, 409--419 (1994; Zbl 0809.70017) Full Text: DOI OpenURL
Qian, Shangwu; Gu, Zhiyu; Huang, Bowen Invariants and the complete symmetry group for a time dependent damped harmonic oscillator with a force quadratic in velocity. (English) Zbl 0804.34037 Acta Sci. Nat. Univ. Pekin. 29, No. 5, 604-610 (1993). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 34C15 70K99 34C20 PDF BibTeX XML Cite \textit{S. Qian} et al., Acta Sci. Nat. Univ. Pekin. 29, No. 5, 604--610 (1993; Zbl 0804.34037) OpenURL
Gaeta, Giuseppe Forced periodic oscillations and the Jones polynomial. (English) Zbl 0746.70018 Int. J. Theor. Phys. 31, No. 2, 221-228 (1992). MSC: 70K40 70F35 57M25 PDF BibTeX XML Cite \textit{G. Gaeta}, Int. J. Theor. Phys. 31, No. 2, 221--228 (1992; Zbl 0746.70018) Full Text: DOI OpenURL
Parlitz, U.; Scheffczyk, C.; Kurz, T.; Lauterborn, W. On modeling driven oscillators by maps. (English) Zbl 0757.70015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 261-264 (1991). Reviewer: F.Selig (Bronxville) MSC: 70K40 70K05 37G99 PDF BibTeX XML Cite \textit{U. Parlitz} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, No. 1, 261--264 (1991; Zbl 0757.70015) Full Text: DOI OpenURL
Potts, R. B.; Yu, X. Discrete variable structure system with pseudo-sliding mode. (English) Zbl 0733.34021 J. Aust. Math. Soc., Ser. B 32, No. 4, 365-376 (1991). Reviewer: A.Huta (Bratislava) MSC: 65J99 34C25 39A10 34C15 PDF BibTeX XML Cite \textit{R. B. Potts} and \textit{X. Yu}, J. Aust. Math. Soc., Ser. B 32, No. 4, 365--376 (1991; Zbl 0733.34021) Full Text: DOI OpenURL
Sanchez, Nestor E.; Nayfeh, Ali H. Prediction of bifurcations in a parametrically excited Duffing oscillator. (English) Zbl 0711.70029 Int. J. Non-Linear Mech. 25, No. 2-3, 163-176 (1990). MSC: 70K28 34C23 70K50 70-08 PDF BibTeX XML Cite \textit{N. E. Sanchez} and \textit{A. H. Nayfeh}, Int. J. Non-Linear Mech. 25, No. 2--3, 163--176 (1990; Zbl 0711.70029) Full Text: DOI OpenURL
Thompson, J. M. T.; Soliman, M. S. Fractal control boundaries of driven oscillators and their relevance to safe engineering design. (English) Zbl 0692.70032 Proc. R. Soc. Lond., Ser. A 428, No. 1874, 1-13 (1990). MSC: 70Q05 70K50 93B99 PDF BibTeX XML Cite \textit{J. M. T. Thompson} and \textit{M. S. Soliman}, Proc. R. Soc. Lond., Ser. A 428, No. 1874, 1--13 (1990; Zbl 0692.70032) Full Text: DOI OpenURL
Samson, A. M.; Logvin, Yu. A.; Turovets, S. I. Nonlinear dynamics of a Morse oscillator in the monochromatic wave field. (Russian. English summary) Zbl 0678.70023 Dokl. Akad. Nauk BSSR 33, No. 10, 877-880 (1989). MSC: 70K30 PDF BibTeX XML Cite \textit{A. M. Samson} et al., Dokl. Akad. Nauk BSSR 33, No. 10, 877--880 (1989; Zbl 0678.70023) OpenURL
Leung, A. Y. T.; Fung, T. C. Phase increment analysis of damped Duffing oscillators. (English) Zbl 0669.70021 Int. J. Numer. Methods Eng. 28, No. 1, 193-209 (1989). MSC: 70K05 70K30 70-08 PDF BibTeX XML Cite \textit{A. Y. T. Leung} and \textit{T. C. Fung}, Int. J. Numer. Methods Eng. 28, No. 1, 193--209 (1989; Zbl 0669.70021) Full Text: DOI OpenURL
Vujanovic, B. D.; Jones, S. E. Variational methods in nonconservative phenomena. (English) Zbl 0715.70003 Mathematics in Science and Engineering, 182. Boston, MA etc.: Academic Press, Inc. x, 370 p. $ 59.95 (1989). Reviewer: S.Nocilla MSC: 70-02 49-02 70H20 70H30 49S05 PDF BibTeX XML Cite \textit{B. D. Vujanovic} and \textit{S. E. Jones}, Variational methods in nonconservative phenomena. Boston, MA etc.: Academic Press, Inc. (1989; Zbl 0715.70003) OpenURL
Red-Horse, J. R.; Spanos, P. D. A closed form solution for a class of non-stationary nonlinear random vibration problems. (English) Zbl 0667.70034 Nonlinear stochastic dynamic engineering systems, Proc. IUTAM Symp., Innsbruck/Igls/Austria 1987, 393-403 (1988). MSC: 70L05 PDF BibTeX XML OpenURL
Rasband, S. N. Marginal stability boundaries for some driven, damped, nonlinear oscillators. (English) Zbl 0627.70019 Int. J. Non-Linear Mech. 22, 477-495 (1987). MSC: 70K30 PDF BibTeX XML Cite \textit{S. N. Rasband}, Int. J. Non-Linear Mech. 22, 477--495 (1987; Zbl 0627.70019) Full Text: DOI OpenURL
Orabi, Ismail I.; Ahmadi, Goodarz A functional series expansion method for response analysis of nonlinear systems subjected to random excitations. (English) Zbl 0625.73103 Int. J. Non-Linear Mech. 22, 451-465 (1987). MSC: 74H50 34F05 70L05 74B20 PDF BibTeX XML Cite \textit{I. I. Orabi} and \textit{G. Ahmadi}, Int. J. Non-Linear Mech. 22, 451--465 (1987; Zbl 0625.73103) Full Text: DOI OpenURL
Vujanovic, B.; Strauss, A. M.; Jones, S. E. On some conservation laws of conservative and non-conservative dynamic systems. (English) Zbl 0617.70018 Int. J. Non-Linear Mech. 21, 489-499 (1986). Reviewer: H.S.P.Grässer MSC: 70H15 70F99 37J99 PDF BibTeX XML Cite \textit{B. Vujanovic} et al., Int. J. Non-Linear Mech. 21, 489--499 (1986; Zbl 0617.70018) Full Text: DOI OpenURL
Burton, T. D. On the amplitude decay of strongly nonlinear damped oscillators. (English) Zbl 0565.70028 J. Sound Vib. 87, 535-541 (1983). MSC: 70K99 PDF BibTeX XML Cite \textit{T. D. Burton}, J. Sound Vib. 87, 535--541 (1983; Zbl 0565.70028) Full Text: DOI OpenURL
Schuch, D.; Chung, K.-M.; Hartmann, H. Nonlinear Schrödinger-type field equation for the description of dissipative systems. I: Derivation of the nonlinear field equation and one-dimensional example. (English) Zbl 0526.70016 J. Math. Phys. 24, 1652-1660 (1983). MSC: 70Sxx 70J30 82-XX 81-01 PDF BibTeX XML Cite \textit{D. Schuch} et al., J. Math. Phys. 24, 1652--1660 (1983; Zbl 0526.70016) Full Text: DOI OpenURL
Spanos, P-T. D. Survival probability of nonlinear oscillators subjected to broad-band random disturbances. (English) Zbl 0498.73095 Int. J. Non-Linear Mech. 17, 303-317 (1982). MSC: 74H50 74H45 70L05 60J65 PDF BibTeX XML Cite \textit{P-T. D. Spanos}, Int. J. Non-Linear Mech. 17, 303--317 (1982; Zbl 0498.73095) Full Text: DOI OpenURL
Gisin, N. A simple nonlinear dissipative quantum evolution equation. (English) Zbl 0474.35040 J. Phys. A 14, 2259-2267 (1981). MSC: 35J10 81Q99 35J60 35G10 35K25 PDF BibTeX XML Cite \textit{N. Gisin}, J. Phys. A, Math. Gen. 14, 2259--2267 (1981; Zbl 0474.35040) Full Text: DOI OpenURL
Akulenko, L. D.; Bolotnik, N. N.; Heimann, B.; Laplunow, A. A.; Loose, H.; Ueckerdt, R. Dynamik und optimale Schwingungstilgung in unwuchterregten Schwingssystemen. (German) Zbl 0477.70021 Rep., Akad. Wiss. DDR, Zentralinst. Math. Mech. R-03/80, 109 S. (1980). MSC: 70K30 70H03 70Q05 65J99 PDF BibTeX XML OpenURL
Bose, S. K. The general anharmonic \(x^{2q+2}\) damped oscillator and the coherent state representation. (English) Zbl 0416.70031 Lett. Math. Phys. 3, 259-264 (1979). MSC: 70K05 PDF BibTeX XML Cite \textit{S. K. Bose}, Lett. Math. Phys. 3, 259--264 (1979; Zbl 0416.70031) Full Text: DOI OpenURL
Iwan, W. D.; Spanos, P.-T. Response envelope statistics for nonlinear oscillators with random excitation. (English) Zbl 0396.70029 J. Appl. Mech. 45, 170-174 (1978). MSC: 70L05 34F05 60H10 PDF BibTeX XML Cite \textit{W. D. Iwan} and \textit{P. T. Spanos}, J. Appl. Mech. 45, 170--174 (1978; Zbl 0396.70029) Full Text: DOI Link OpenURL
Rosen, Bernard Operator method for the perturbative solution of ordinary differential equations. (English) Zbl 0392.34037 Comput. Math. Appl. 4, 225-235 (1978). MSC: 34E10 34D10 65L07 76X05 PDF BibTeX XML Cite \textit{B. Rosen}, Comput. Math. Appl. 4, 225--235 (1978; Zbl 0392.34037) Full Text: DOI OpenURL