Cveticanin, Livija; Vujkov, Sanja; Cveticanin, Dragan Application of modified generalized trigonometric functions in identification of human tooth vibration properties. (English) Zbl 1454.34033 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105290, 9 p. (2020). MSC: 34A45 34E10 34C15 34C20 PDFBibTeX XMLCite \textit{L. Cveticanin} et al., Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105290, 9 p. (2020; Zbl 1454.34033) Full Text: DOI
Cveticanin, L.; Zukovic, M.; Cveticanin, D. Exact steady states of periodically forced and essentially nonlinear and damped oscillator. (English) Zbl 1470.70025 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104895, 11 p. (2019). MSC: 70K30 70K40 70K65 34C15 34C26 PDFBibTeX XMLCite \textit{L. Cveticanin} et al., Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104895, 11 p. (2019; Zbl 1470.70025) Full Text: DOI
Kozmidis Luburic, U.; Cveticanin, L.; Rakaric, Z.; Zukovic, M.; Cveticanin, D. Analytical investigation on the dynamics of the smooth and discontinuous oscillator. (English) Zbl 1428.34068 Acta Mech. 230, No. 8, 2989-3001 (2019). MSC: 34C60 34C15 74H45 34A36 PDFBibTeX XMLCite \textit{U. Kozmidis Luburic} et al., Acta Mech. 230, No. 8, 2989--3001 (2019; Zbl 1428.34068) Full Text: DOI
Cveticanin, L.; Kozmidis Luburic, U.; Mester, Gy. Periodic motion in an excited and damped cubic nonlinear oscillator. (English) Zbl 1427.70052 Math. Probl. Eng. 2018, Article ID 3841926, 6 p. (2018). MSC: 70K40 34C15 70K42 70K55 PDFBibTeX XMLCite \textit{L. Cveticanin} et al., Math. Probl. Eng. 2018, Article ID 3841926, 6 p. (2018; Zbl 1427.70052) Full Text: DOI
Cveticanin, Livija Strongly nonlinear oscillators. Analytical solutions. 2nd edition. (English) Zbl 1367.70001 Mathematical Engineering. Cham: Springer (ISBN 978-3-319-58825-4/hbk; 978-3-319-58826-1/ebook). xii, 317 p. (2018). MSC: 70-01 70K40 70K55 34C15 34C28 PDFBibTeX XMLCite \textit{L. Cveticanin}, Strongly nonlinear oscillators. Analytical solutions. 2nd edition. Cham: Springer (2018; Zbl 1367.70001) Full Text: DOI
Navarro, H. A.; Cveticanin, L. Amplitude-frequency relationship obtained using Hamiltonian approach for oscillators with sum of non-integer order nonlinearities. (English) Zbl 1410.70019 Appl. Math. Comput. 291, 162-171 (2016). MSC: 70H05 34C15 PDFBibTeX XMLCite \textit{H. A. Navarro} and \textit{L. Cveticanin}, Appl. Math. Comput. 291, 162--171 (2016; Zbl 1410.70019) Full Text: DOI
Cveticanin, L.; Zukovic, M.; Mester, Gy.; Biro, I.; Sarosi, J. Oscillators with symmetric and asymmetric quadratic nonlinearity. (English) Zbl 1341.34044 Acta Mech. 227, No. 6, 1727-1742 (2016). MSC: 34C15 34A05 34A45 PDFBibTeX XMLCite \textit{L. Cveticanin} et al., Acta Mech. 227, No. 6, 1727--1742 (2016; Zbl 1341.34044) Full Text: DOI
Cveticanin, Livija; Zukovic, Miodrag Non-ideal mechanical system with an oscillator with rational nonlinearity. (English) Zbl 1349.34115 J. Vib. Control 21, No. 11, 2149-2164 (2015). MSC: 34C15 70K30 PDFBibTeX XMLCite \textit{L. Cveticanin} and \textit{M. Zukovic}, J. Vib. Control 21, No. 11, 2149--2164 (2015; Zbl 1349.34115) Full Text: DOI
Cveticanin, L. Coupled Van der Pol oscillator with non-integer order connection. (English) Zbl 1510.34062 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3362-3373 (2014). MSC: 34C15 PDFBibTeX XMLCite \textit{L. Cveticanin}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3362--3373 (2014; Zbl 1510.34062) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Cveticanin}, Appl. Math. Comput. 243, 433--445 (2014; Zbl 1335.34069) Full Text: DOI
Cveticanin, L. An analytical method for truly nonlinear oscilattors. (English) Zbl 1334.34042 Gumel, Abba B. (ed.), Mathematics of continuous and discrete dynamical systems. AMS special session in honor of Ronald Mickens’s 70th birthday on nonstandard finite-difference discretizations and nonlinear oscillations, San Diego, CA, USA, January 9–10, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9862-8/pbk; 978-1-4704-1686-7/ebook). Contemporary Mathematics 618, 229-245 (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A45 34C15 34E10 PDFBibTeX XMLCite \textit{L. Cveticanin}, Contemp. Math. 618, 229--245 (2014; Zbl 1334.34042)
Cveticanin, Livija Strongly nonlinear oscillators. Analytical solutions. (English) Zbl 1291.70001 Undergraduate Lecture Notes in Physics. Cham: Springer (ISBN 978-3-319-05271-7/pbk; 978-3-319-05272-4/ebook). ix, 239 p. (2014). MSC: 70-01 70K40 70K55 34C15 34C28 PDFBibTeX XMLCite \textit{L. Cveticanin}, Strongly nonlinear oscillators. Analytical solutions. Cham: Springer (2014; Zbl 1291.70001) Full Text: DOI
Cveticanin, Livija Asymptotic method for truly non-linear oscillator with time variable parameter. (English) Zbl 1330.34059 ESAIM, Proc. 39, 32-39 (2013). MSC: 34C15 37C60 34E10 34C29 PDFBibTeX XMLCite \textit{L. Cveticanin}, ESAIM, Proc. 39, 32--39 (2013; Zbl 1330.34059) Full Text: DOI
Cveticanin, L.; Kalami-Yazdi, M.; Askari, H. Analytical approximations to the solutions for a generalized oscillator with strong nonlinear terms. (English) Zbl 1276.34009 J. Eng. Math. 77, 211-223 (2012). MSC: 34A45 34C15 PDFBibTeX XMLCite \textit{L. Cveticanin} et al., J. Eng. Math. 77, 211--223 (2012; Zbl 1276.34009) Full Text: DOI
Cveticanin, L. Oscillator with non-integer order nonlinearity and time variable parameters. (English) Zbl 1328.70017 Acta Mech. 223, No. 7, 1417-1429 (2012). MSC: 70K70 34C15 70H45 70K65 PDFBibTeX XMLCite \textit{L. Cveticanin}, Acta Mech. 223, No. 7, 1417--1429 (2012; Zbl 1328.70017) Full Text: DOI
Cveticanin, Livija Forced pure nonlinear symmetrical oscillators. (English) Zbl 1255.34035 Math. Comput. Modelling 55, No. 3-4, 1580-1593 (2012). MSC: 34C15 PDFBibTeX XMLCite \textit{L. Cveticanin}, Math. Comput. Modelling 55, No. 3--4, 1580--1593 (2012; Zbl 1255.34035) Full Text: DOI
Cveticanin, L. Oscillators with nonlinear elastic and damping forces. (English) Zbl 1231.34062 Comput. Math. Appl. 62, No. 4, 1745-1757 (2011). MSC: 34C15 PDFBibTeX XMLCite \textit{L. Cveticanin}, Comput. Math. Appl. 62, No. 4, 1745--1757 (2011; Zbl 1231.34062) Full Text: DOI
Cveticanin, L.; Kovacic, I.; Rakaric, Z. Asymptotic methods for vibrations of the pure non-integer order oscillator. (English) Zbl 1205.34037 Comput. Math. Appl. 60, No. 9, 2616-2628 (2010). MSC: 34C15 PDFBibTeX XMLCite \textit{L. Cveticanin} et al., Comput. Math. Appl. 60, No. 9, 2616--2628 (2010; Zbl 1205.34037) Full Text: DOI
Kovacic, Ivana; Rakaric, Zvonko; Cveticanin, Livija A non-simultaneous variational approach for the oscillators with fractional-order power nonlinearities. (English) Zbl 1384.34041 Appl. Math. Comput. 217, No. 8, 3944-3954 (2010). MSC: 34C15 45J05 70K40 PDFBibTeX XMLCite \textit{I. Kovacic} et al., Appl. Math. Comput. 217, No. 8, 3944--3954 (2010; Zbl 1384.34041) Full Text: DOI
Cvetićanin, Livija Oscillator with strong qudratic damping force. (English) Zbl 1224.34107 Publ. Inst. Math., Nouv. Sér. 85(99), 119-130 (2009). Reviewer: Mirko Budinčević (Novi Sad) MSC: 34C15 PDFBibTeX XMLCite \textit{L. Cvetićanin}, Publ. Inst. Math., Nouv. Sér. 85(99), 119--130 (2009; Zbl 1224.34107) Full Text: DOI
Cveticanin, L. Approximate solution of a strongly nonlinear complex differential equation. (English) Zbl 1237.34058 J. Sound Vib. 284, No. 1-2, 503-512 (2005). MSC: 34C15 34M99 34A45 34C29 PDFBibTeX XMLCite \textit{L. Cveticanin}, J. Sound Vib. 284, No. 1--2, 503--512 (2005; Zbl 1237.34058) Full Text: DOI
Cveticanin, L. Analytical solutions of the system of two coupled pure cubic non-linear oscillators equations. (English) Zbl 1237.34057 J. Sound Vib. 245, No. 3, 571-580 (2001). MSC: 34C15 34E05 34E10 PDFBibTeX XMLCite \textit{L. Cveticanin}, J. Sound Vib. 245, No. 3, 571--580 (2001; Zbl 1237.34057) Full Text: DOI
Cveticanin, L. The conservation laws and the exact solutions for the singular non-linear oscillator. (English) Zbl 1235.70055 J. Sound Vib. 224, No. 5, 952-960 (1999). MSC: 70K05 34C15 PDFBibTeX XMLCite \textit{L. Cveticanin}, J. Sound Vib. 224, No. 5, 952--960 (1999; Zbl 1235.70055) Full Text: DOI
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 PDFBibTeX XMLCite \textit{L. Cveticanin}, J. Sound Vib. 183, No. 5, 881--888 (1995; Zbl 0982.70520) Full Text: DOI
Cveticanin, L. An asymptotic method adopted for a system of two nonlinear differential equations. (English) Zbl 0801.70020 Zag. Drgań Nieliniowych 25, 63-67 (1993). MSC: 70K40 34C15 34E10 PDFBibTeX XMLCite \textit{L. Cveticanin}, Zag. Drgań Nieliniowych 25, 63--67 (1993; Zbl 0801.70020)
Cvetićanin, Livija; Glavardanov, Valentin Analytical method for denoting the vibrations of the rotor with cubic nonlinearity. (English) Zbl 0768.34021 Facta Univ., Ser. Mech. Autom. Control Robot. 1, No. 2, 177-186 (1992). Reviewer: H.-J.Bangen (Immenstadt) MSC: 34C15 70K25 34C25 34C29 PDFBibTeX XMLCite \textit{L. Cvetićanin} and \textit{V. Glavardanov}, Facta Univ., Ser. Mech. Autom. Control Robot. 1, No. 2, 177--186 (1992; Zbl 0768.34021)