Journal papers

Kovacic I., Gatti G., Some benefits of using exact solutions of forced nonlinear oscillators: Theoretical and experimental investigations, Journal of Sound and Vibration, 2018, 436, pp. 310-326.

Kovacic I., Radomirovic D., Zukovic M., Benka P., Nikolic M., Characterisation of tree vibrations based on the model of orthogonal oscillations, Scientific Reports (Nature Group), 2018, Vol. 8, No 8558 (12 pages).

Kovacic I., Radomirovic D., Zukovic M., Tree vibrations: Determining oscillatory properties by using infra-red marker-tracking system, Urban Forestry and Urban Greening, 2018, 34, 114-120.

Kovacic I., Externally excited undamped and damped linear and nonlinear oscillators: exact solutions and tuning to a desired exact form of the response, International Journal of Nonlinear Mechanics, 2018, Vol. 102, pp. 72-81 .

Radomirovic D., Kovacic I., Gatti G., Equal stiffness in all directions: from theory to experiments, Precision Engineering Vol. 52, pp. 418-424.

Kovacic I., Radomirovic, D., Insights into mechanical properties of certain bio-inspired branched structures, Meccanica, 2018, Vol. 53(9), pp. 2209-2220.

Kovacic I., Rand R., Sah Si M., Mathieu’s equation and its generalizations: overview of stability charts and their features, Applied Mechanics Reviews, Vol. 70 (2), 020802 (2018) (22 pages);   Paper No: AMR-17-1054.

Kovacic I., Zukovic M., Radomirovic D., Sympodial tree-like structures: From small to large-amplitude vibrations, Bioinspiration & Biomimetics, 2018, Vol. 13, No 026002, 20 pages.

Kovacic I., Zukovic M., On the response of some discrete and continuous oscillatory systems with pure cubic nonlinearity: exact solutions, International Journal of Nonlinear Mechanics, Vol. 98, January 2018, pp. 13-22.

Kovacic I., Lenci S., Externally excited purely nonlinear oscillators: insights into their response at different excitation frequencies, Nonlinear Dynamics, 2018, Vol. 93, pp 119–132.

Kovacic I., Radomirovic D., Zukovic M., Benka P., Nikolic M., Characterisation of tree vibrations based on the model of orthogonal oscillations, Scientific Reports (nature.com), in press, 2018.

Kovacic I., Externally excited undamped and damped linear and nonlinear oscillators: exact solutions and tuning to a desired exact form of the response, International Journal of Nonlinear Mechanics, 2018, Vol. 102, pp. 72-81.

Kovacic I., Rand R., Sah Si M., Mathieu’s Equation and its Generalizations: Overview of Stability Charts and their Features, Applied Mechanics Reviews, Vol. 70 (2), 020802 (2018) (22 pages).

Kovacic I., Zukovic M., Radomirovic D., Sympodial tree-like structures: From small to large-amplitude vibrations, Bioinspiration & Biomimetics, 2018, Vol. 13, No 026002, 20 pages.

Kovacic I., Zukovic M., On the response of some discrete and continuous oscillatory systems with pure cubic nonlinearity: exact solutions, International Journal of Nonlinear Mechanics, Vol. 98, January 2018, pp. 13-22.

Kovacic I., Lenci S., Externally excited purely nonlinear oscillators: insights into their response at different excitation frequencies, Nonlinear Dynamics, https://doi.org/10.1007/s11071-017-3741-5.

Rakaric Z., Kovacic I., Cartmell M.P., On the design of external excitations in order to make nonlinear oscillators respond as free oscillators of the same or different type, International Journal of Nonlinear Mechanics, 2017, Vol. 94C, pp. 323-333.

Kovacic I., On the response of purely nonlinear oscillators: an Ateb-type solution for motion and an Ateb-type external excitation, International Journal of Nonlinear Mechanics, 2017, Vol. 92, pp. 15-24.

Kovacic I., Zukovic M., Coupled purely nonlinear oscillators: normal modes and exact solutions for free and forced responses, Nonlinear Dynamics, 2017, Vol. 87, pp. 713-726.

Cveticanin L., Kovacic I., Exact solutions for the response of purely nonlinear oscillators: Overview, Journal of the Serbian Society for Computational Mechanics, 2016, Vol. 10, pp. 116-134.

Rakaric Z., Kovacic I., Cartmell M.P., On the design of external excitations in order to make nonlinear oscillators respond as free oscillators of the same or different type, International Journal of Non-Linear Mechanics, in press, 2016, 10.1016/j.ijnonlinmec.2016.06.012.

Kovacic I., Cveticanin L., Zukovic M., Rakaric Z., Jacobi elliptic functions: a review of nonlinear oscillatory application problems, Journal of Sound and Vibration, 2016, Vol. 380, pp. 1-36.

Zukovic M., Kovacic I., An insight into the behaviour of oscillators with a periodically piecewise-defined time-varying mass, Communications in Nonlinear Science and Numerical Simulation, 2016, Vol. 42, pp.187-203.

Rakaric Z., Kovacic I., Mechanical manifestations of bursting oscillations in slowly rotating systems, Mechanical Systems and Signal Processing, 2016, Vol. 81, pp. 35-42.

Ramlan R., Brennan M.J., Mace B.R., Kovacic I., Burrow S.G., On the estimation of stiffness nonlinearity and linear viscous damping parameters in a Duffing oscillator, Communications in Nonlinear Science and Numerical Simulation, 2016, Vol. 37, pp. 282-291.

Zukovic M., Kovacic I., Cartmell M.P., Characterising the dynamic behaviour of two-well oscillators excited at low frequency: numerical insights, Journal of the Serbian Society for Computational Mechanics, 2015, Vol. 9, pp. 34-46.

Kovacic I., Cartmell M.P., Zukovic M., Mixed-mode dynamics of bistable oscillators with low-frequency excitation: behavioural mapping, approximations for motion and links with van der Pol oscillators, Proceedings of the Royal Society A, 2015, Vol. 471, No 20150638 (17 pages).

Kovacic I., On the response of antisymmetric constant force oscillators: exact and approximate solutions, Communications in Nonlinear Science and Numerical Simulation, 2016, Vol, 32, pp. 305-316.

Radomirovic D., Kovacic I., An Equivalent Spring for Nonlinear Springs in Series, European Journal of Physics, Vol. 36, Paper No. 055004.

Radomirovic D., Kovacic I., Stiffness Properties of Certain Oscillatory Systems: Quantification and Possibilities for Corrections, European Journal of Physics, 2015, Vol. 36, Paper No. 035031.

Zukovic M., Kovacic I., Cartmell M.P., On the dynamics of a parametrically excited planar tether, Communication in Nonlinear Science and Numerical Simulation, 2015, Vol. 26, pp. 250-264.

Kovacic I., Mickens, R.E., Design of nonlinear isochronous oscillators, Nonlinear Dynamics, 2015, Vol. 81, pp. 53-61.

Kovacic I., Generalised perturbation techniques for strongly nonlinear oscillators with a positive, zero or negative linear stiffness term, International Journal of Dynamics and Control, 2015, Vol. 3, pp. 137-147.

Kovacic I., Rand, R., Duffing-type oscillators with amplitude-independent period. Chapter in: Applied Nonlinear Dynamical Systems/DSTA 2013 (Ed. J.Awrejcewicz). Springer-Verlag, Berlin, 2014.

Kovacic I., On the Use of Special Functions for Studying Truly Nonlinear Conservative Oscillators. Chapter in Mathematics of Discrete and Continuous Dynamical Systems Conference organizer (Contemporary Mathematics Book Series celebrating the contributions of Professor Ronald Mickens (in conjunction with his 70th birthday), Editor Abba Gummel, 2014, Contemporary Mathematics, Vol. 618, 2014, pp. 281-298.

Kovacic I., On some performance characteristics of base excited oscillatory systems with a purely nonlinear restoring force, International Journal of Nonlinear Mechanics, 2014, Vol. 65, 44–52.

Radomirovic D., Kovacic I., On the equivalent systems for concurrent springs and dampers – Part 2: small out-of-plane oscillations, Journal of Mechanical Engineering Science (Part C of the Proceeding of the Institution of Mechanical Engineers), 2014, Vol. 228(14) pp. 2520-2531.

Radomirovic D., Kovacic I., On the equivalent systems for concurrent springs and dampers – Part 1: small in-plane oscillations, Journal of Mechanical Engineering Science (Part C of the Proceeding of the Institution of Mechanical Engineers), 2014, Vol. 228(14) pp. 2532-2544.

Kovacic I., Zukovic M., A pendulum with an elliptic-type parametric excitation: stability charts for a damped and undamped system, Communications in Nonlinear Science and Numerical Simulation, 2014, Vol. 19, 1185-1202.

Kovacic, I, Rand, R., About a class of nonlinear oscillators with amplitude-independent frequency, Nonlinear Dynamics, 2013, Vol. 74, 455–465.

Kovacic, I., Generalized van der Pol oscillators: entrainment phenomenon, Meccanica, 2013, Vol. 48, 2415-2425.

Radomirovic, D., Kovacic, I., Deflection and potential energy of linear and nonlinear springs: approximate expressions in terms of generalized coordinates, European Journal of Physics, 2013, Vol. 34, 537-546.

Kovacic, I., Rand, R., Straight-line backbone curve, Communication in Non-linear Science and Numerical Simulations, 2013, Vol. 18, pp. 2281–2288.

Rakaric, Z., Kovacic, I., An elliptic averaging method for harmonically excited oscillators with a purely non-linear non-negative real-power restoring force, Communication in Non-linear Science and Numerical Simulations, 2013, Vol. 18, pp. 1888–1901.

Kovacic, I., Rega, G., Zukovic, M., On the influence of a constant force on the appearance of period-doubling bifurcations and chaos in a harmonically excited pure cubic oscillator, Chaos, Solitons and Fractals, 2012, Vol. 45, pp. 1531–1540.

Zukovic, M., Kovacic, I., On the behaviour of parametrically excited purely nonlinear oscillators, Nonlinear Dynamics, 2012, Vol. 70, pp. 2117-2128.

Kovacic I., Zukovic M.,Oscillators with a power-form restoring force and fractional derivative damping: application of averaging, Mechanics Research Communications, 2012, Vol. 41, pp. 37– 43.

Cartmell, M., Kovacic I., Zukovic M., Autoparametric interaction in a double pendulum system, Journal of Mechanical Engineering Science (Part C of the Proceeding of the Institution of Mechanical Engineers), 2012, Vol. 226, pp. 1971 – 1986.

Kovacic I., Mickens R.E., A generalized van der Pol type oscillator: investigation of the properties of a limit cycle, Mathematical and Computer Modelling, 2012, Vol. 55, pp. 645-653.

Kovacic, I., The method of multiple scales for forced oscillators with non-negative real-power nonlinearities and different damping mechanisms, Chaos, Solitons and Fractals, 2011, Vol. 44, pp. 891-901.

Kovacic I., Forced vibrations of oscillators with a purely nonlinear power-form restoring force, Journal of Sound and Vibration, 2011, Vol. 330, pp. 4313–4327.

Rakaric Z., Kovacic I., Approximations for motion of the oscillators with a non-negative real-power restoring force, Journal of Sound and Vibration, 2011, Vol. 330, pp. 321-336.

Radomirovic D., Kovacic I., Dynamic circle of plane motion, Journal of Mechanical Engineering Science (Part C of the Proceeding of the Institution of Mechanical Engineers), 2011, Vol 225, pp. 1147-1151.

Kovacic I., Rakaric Z., Study of oscillators with a non-negative real-power restoring force and quadratic damping, Nonlinear Dynamics, 2011, Vol. 64, pp. 293-304.

Cveticanin L., Kovacic I., Rakaric Z., Homotopy-based approximate solutions for pure fractional-order non-linear oscillators, Computers and Mathematics with Applications, 2010, Vol. 60, pp. 2616-2628.

Kovacic, I., Rakaric, Z., Cveticanin, L., A non-simultaneous variational approach for a certain class of non-linear oscillators, Applied Mathematics and Computation, 2010, Vol. 217, pp. 3944-3954.

Kovacic I., A limit cycle and relaxation oscillations in a generalized van der Pol oscillator, Communication in Non-linear Science and Numerical Simulations, 2011, Vol. 16, pp. 1640-1649.

Gatti G., Brennan M.J., Kovacic I., On the interaction of the responses at the resonance frequencies of a nonlinear two degree-of-freedom system, Physica D: Nonlinear Phenomena, 2010, Vol. 239, pp. 591-599.

Gatti G., Kovacic I., Brennan M.J., On the response of a harmonically excited two degree-of-freedom system consisting of linear and non-linear quasi-zero stiffness oscillators, Journal of Sound and Vibration, 2010, Vol. 329, pp. 1823-1835.

Kovacic I., Invariants and approximate solutions for certain non-linear oscillators by means of the field method, Applied Mathematics and Computation, 2010, Vol. 215, pp. 3482–3487.

Kovacic I., Rakaric Z., Oscillators with a fractional-order restoring force: higher-order approximations for motion via a modified Ritz method, Communication in Non-linear Science and Numerical Simulations, 2010, Vol. 15, pp. 2651-2658.

Ramlan R., Brennan M. J., Mace B. R., Kovacic, I., An investigations into the benefits of using a non-linear spring in an energy harvesting device, Non-linear Dynamics, 2010, Vol. 59, pp. 545–558.

Kovacic I., Brennan M.J., Lineton B., Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system, Journal of Sound and Vibration, 2009, Vol. 325, pp. 870-883.

Kovacic I., On the motion of non-linear oscillators with a fractional order restoring force and time variable parameters, Physics Letters A, 2009, Vol. 373, pp. 1839-1843.

Milovanovic Z., Kovacic I., Brennan M.J., On the displacement transmissibility of a base excited viscously damped non-linear vibration isolator, Journal of Vibration and Acoustics, Vol. 131, 054502 (7 pages).

Carrella A., Brennan M.J., Kovacic I., Waters T.P, On the force transmissibility of a vibration isolator with quasi-zero-stiffness, Journal of Sound and Vibration, 2009, Vol. 322, pp. 707–717.

Kovacic I., Cveticanin L., The effects of the strong non-linearity on the existence of periodic solutions of the Mathieu-Duffing equation, Journal of Applied Mechanics, Vol. 76, 054501 (2009) (3 pages).

Brennan M.J., Kovacic I., Carrella A., Waters T.P., On the jump-up and jump-down frequencies of the Duffing oscillator, Journal of Sound and Vibration, 2008, Vol. 318, pp. 1250–1261.

Kovacic I., Brennan M.J., Lineton B., On the resonance response of an asymmetric Duffing oscillator, International Journal of Non-Linear Mechanics, 2008, Vol. 43, pp. 857–867.

Kovacic I., Brennan M.J., On the use of two classical series expansion methods to determine the vibration of harmonically excited pure cubic oscillators, Physics Letters A, 2008, Vol. 372, pp. 4028-4032.

Kovacic I., Milovanovic Z., Brennan M.J., Facta Universitatis, Series Working and Living Environmental Protection, 2008, Vol. 5, pp. 39 – 48.

Kovacic I., Brennan M.J, Waters T.P., A study of a non-linear vibration isolator with quasi-zero stiffness characteristic, Journal of Sound and Vibration, 2008, Vol. 315, pp. 700-711.

Cveticanin L., Kovacic I., Parametrically excited vibrations of the oscillator with strong cubic negative non-linearity, Journal of Sound and Vibration, 2007, Vol. 304, pp. 201-212.

Kovacic I., Adiabatic invariants of oscilltors with one degree of freedom, Journal of Sound and Vibration, 2007, Vol. 300, pp. 695-708.

Kovacic I., Adiabatic invariants of some time-dependent oscillators, Journal of Physics A: Mathematical and General, 2007, Vol. 40, pp. 455-470.

Cveticanin L., Kovacic I., On the dynamics of bodies with continual mass variation, Journal of Applied Mechanics, 2007, Vol. 74, pp. 810-815.

Kovacic I., Conservation laws of two coupled non-linear oscillators, International Journal of Non-Linear Mechanics, 2006, Vol. 41, pp. 751-760.

Kovacic I., Analysis of a weakly non-linear autonomous oscillator by means of the field method, International Journal of Nonlinear Mechanics, 2005, Vol. 40, pp. 775-784.