(Preprint versions for download here)
[1] M. Efendiev, M. Wolfrum, A. Schuppert, Isothermal Upscaling of Chemical Reactors: Two Examples, Nonlinear Analysis, Theory, Methods & Applications, Vol. 30, No. 6 (1997), 3455-3461.
[2] U. Bandelow, M. Radziunas, J. Sieber, M. Wolfrum: Impact of gain dispersion on the spatio-temporal dynamics of multisection lasers, IEEE Journal of Quantum Electronics, Vol. 37/2, (2001), 183-188.
[3] M. Wolfrum, Geometry of heteroclinic cascades in scalar parabolic differential equations, Journal of Dyn. Diff. Equ. 14, No. 1 (2002), 207-241.
[4] M. Wolfrum, A sequence of order relations, encoding heteroclinic connections in scalar parabolic PDE, J. of Diff. Equ. 183 (2002), 56-78.
[5] M. Wolfrum, D. Turaev, Instabilities of Lasers with moderately delayed optical feedback, Optics Communications, Vol. 212/1-3 (2002), 127-138.
[6] B. Krauskopf, K. Schneider, J. Sieber, S. Wieczorek, M. Wolfrum, Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems, Optics Communications, Vol. 215/4-6 (2003), 367-379.
[7] O. Brox, S. Bauer, M. Radziunas, M. Wolfrum, J. Sieber, J. Kreissl, B. Sartorius, H.-J. Wünsche, High-Frequency Pulsations in DFB-Lasers with Amplified Feedback, IEEE Journal of Quantum Electronics 39/11, (2003), 1381-1387.
[8] B. Fiedler, C. Rocha, M. Wolfrum, Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle, J. of Diff. Equ. 201 (2004), 99-138.
[9] J. Härterich, M. Wolfrum, Describing a class of global attractors via symbol sequences, Discrete and Continous Dynamical Systems 12/3, (2005), 531-554.
[10] K. Gatermann, M. Wolfrum, Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry, Adv. Appl. Math. 34/2 (2005), 252-294.
Awarded as “Advances in Applied Mathematics Top Cited Article 2005-2010”
[11] V.Z. Tronciu, H.-J. Wünsche, M. Radziunas, M. Wolfrum, Semiconductor laser under resonant feedback from a Fabry-Perot: Stability of continuous wave operation, Phys. Rev. E 74, 046205 (2006).
[12] M. Nizette, D. Rachinskii, A. Vladimirov, M. Wolfrum, Pulse interaction via gain and loss dynamics in passive mode-locking, Physica D 218/1 (2006), 95-104.
[13] M. Wolfrum, S. Yanchuk, Eckhaus instability in systems with large delay, Phys. Rev. Lett. 96, 220201 (2006).
[14] S. Yanchuk, M. Wolfrum, P. Hövel, E. Schöll, Control of unstable steady states by strongly delayed feedback, Phys. Rev. E 74, 026201 (2006).
[15] M. Radziunas, A. Glitzky, U. Bandelow, M. Wolfrum, U. Troppenz, J. Kreissl, W. Rehbein, Improving the modulation bandwidth in semiconductor lasers by passive feedback, IEEE J. Select. Topics Quantum Electron. 13/1 (2007), 136--142.
[16] E. A. Viktorov, Paul Mandel, M. Kuntz, G. Fiol, D. Bimberg, A. G. Vladimirov, M. Wolfrum, Stability of the mode-locked regime in quantum dot lasers, Appl. Phys. Lett. 91, 231116-1 (2007).
[17] S. Yanchuk, M. Wolfrum, Destabilization patterns in chains of coupled oscillators, Phys. Rev. E 77, 026212 (2008).
[18] P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, P. Mosiolek, T. Kapitaniak, Routes to complex dynamics in a ring of unidirectionally coupled systems, Chaos 20, 013111 (2010).
[19] S. Yanchuk, M. Wolfrum. A multiple timescale approach to the stability of external cavity modes in the Lang-Kobayashi system using the limit of large delay, SIAM J. Appl. Dyn. Syst. Vol. 9, No. 2 (2010), 519-535.
[20] O. Omel’chenko, M. Wolfrum, Yu. Maistrenko, Chimera states as chaotic spatio-temporal patterns, Phys. Rev. E 81, 065201(R) (2010).
[21] G. Fiol, D. Arsenijevic, D. Bimberg, A. G. Vladimirov, M. Wolfrum, E. A. Viktorov, P. Mandel, Hybrid mode-locking in a 40 GHz monolithic quantum dot laser, Appl. Phys. Lett. 96, 011104 (2010).
[22] M. Wolfrum, S. Yanchuk, P. Hövel, E. Schöll, Complex dynamics in delay-differential equations with large delay, Eur. Phys. J. Special Topics 191 (2010), 91-103.
[23] M. Lichtner, M. Wolfrum, S. Yanchuk, The spectrum of delay differential equations with large delay, SIAM J. Mathematical Analysis 43 (2011), 788-802.
[24] O. Omel’chenko, M. Wolfrum, S. Yanchuk, Yu. Maistrenko, Spectral properties of chimera states, Chaos 21, 013112 (2011).
Listed among “Most Cited Articles in 2012 published in CHAOS”
[25] M. Wolfrum, O. Omel’chenko, Chimera states are chaotic transients, Phys. Rev. E 84, 015201(R) (2011).
[26] A. Vladimirov, D. Rachinskii, M. Wolfrum, Modelling of passively mode-locked semiconductor lasers,in: Nonlinear laser dynamics: from quantum-dots to cryptography (Eds. K. Lüdge), Wiley-VCH Weinheim (2012),183-216.
[27] B. Fiedler, C. Rocha, M. Wolfrum, A permutation characterization of Sturm attractors of Hamiltonian type, J. Diff. Equ. 252 (2012), 588-623.
[28] M. Wolfrum, The Turing bifurcation in network systems: Collective patterns and single differentiated nodes, Physica D 241, (2012), 1351-1357.
[29] O. Omel’chenko, M. Wolfrum, S. Yanchuk, Yu. Maistrenko, O. Sudakov, Stationary patterns of coherence and incoherence in two-dimensional arrays of non-locally coupled phase oscillators, Phys. Rev. E 85, 036210 (2012).
[30] O. Omel’chenko, M. Wolfrum, Nonuniversal Transitions to Synchrony in the Sakaguchi-Kuramoto Model, Phys. Rev. Lett. 109, 164101 (2012).
[31] C. Otto, K. Lüdge, A. G. Vladimirov, M. Wolfrum, E. Schöll, Delay induced dynamics and jitter reduction of passively mode-locked semiconductor lasers subject to optical feedback, New J. Phys. 14, 113033 (2012).
[32] B. Fiedler, C. Rocha, M. Wolfrum, Sturm Global Attractors for S¹-equivariant Parabolic Equations, Networks and Heterogeneous Media, 7 (2012), 617-659.
[33] J. Sieber, M. Wolfrum, S. Yanchuk, On the stability of periodic orbits in delay equations with large delay, Discrete Contin. Dyn. Syst., 33 (2013), 3109-3134.
[34] O. Omel’chenko, M. Wolfrum, Bifurcations in the Sakaguchi--Kuramoto model, Physica D, 263 (2013), 74-85.
[35] O. Omel’chenko, M. Wolfrum, C. Laing, Partially coherent twisted states in arrays of coupled phase oscillators, Chaos 24, 023102 (2014).
[36] J. Sieber, O. Omel’chenko, M. Wolfrum, Controlling unstable chaos: Stabilizing chimera states by feedback, Phys. Rev. Lett. 112, 054102 (2014).
[37] S. Yanchuk, L. Lücken, M. Wolfrum, A.Mielke, Spectrum and amplitude equations for scalar delay-differential equations with large delay, Discrete Contin. Dyn. Syst. 35, (2015), 537-553.
[38] M. Wolfrum,O. Omel'chenko, J. Sieber, Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators, Chaos 25, 053113 (2015).
[39] S. Yanchuk, P. Perlikowski, M. Wolfrum, Matthias, A. Stefański, T Kapitaniak, Amplitude equations for collective spatio-temporal dynamics in arrays of coupled systems, Chaos 25, 033113 (2015).
[40] M. Wolfrum, S. Gurevich, O. Omel'chenko, Turbulence in the Ott--Antonsen equation for arrays of coupled phase oscillators, Nonlinearity 29 (2016), 257–270.
[41] I. Omelchenko, O. Omel'chenko, A. Zakharova, M. Wolfrum, E. Schöll, Tweezers for chimeras in small networks, Phys. Rev. Lett. 116, 114101 (2016).
preprints/submitted papers:
[42] O. Omel'chenko, M. Wolfrum, Is there an impact of small phase lags in the Kuramoto model?, WIAS-preprint 2234 (2016), submitted to: Chaos.
in proceedings and collected editions:
[1] M. Wolfrum, The concept of adjacency for stationary and non-stationary solutions of scalar semilinear parabolic PDE, in Proceedings of EQUADIFF 2003 (Eds.: F. Dumortier et al.), World Scientific, Singapore (2005).
[2] M. Wolfrum, S. Yanchuk, Synchronous and asynchronous instabilities of two lasers with a long delayed coupling, in Proceedings of the ENOC-2005, Eindhoven, Netherlands, 7-12 August (2005).
[3] S. Yanchuk, M. Wolfrum, Instabilities of equilibria of delay-differential equations with large delay, in Proceedings of the ENOC-2005, Eindhoven, Netherlands, 7-12 August (2005).
[4] M. Radziunas, U. Bandelow, M. Wolfrum, U. Troppenz, J. Kreissl, A. Glitzky, R. Hünlich, Design of multisection laser for 40 Gb/s direct modulation, in Proc. of the 31st European Conf. on Optical Communications ECOC 2005, Vol. 3, pp. 677--678, We4.P.088, Glasgow, UK, September 25-29, (2005).
[5] U. Troppenz, J. Kreissl, W. Rehbein, C. Bornholdt, T. Gaertner, M. Radziunas, A. Glitzky, U. Bandelow, M. Wolfrum, 40 Gb/s directly modulated InGaAsP passive feedback DFB laser, in ECOC Proceedings Series, Postdeadline session, paper Th 4.5.5, (2006).
[6] M. Radziunas, H.-J. Wünsche, B. Krauskopf, M. Wolfrum, External cavity modes in Lang-Kobayashi and traveling wave models, in SPIE Proceedings Series, (6184), art. no. 61840X, (2006).
[7] L. Recke, M. Wolfrum, S. Yanchuk, Dynamics of coupled semiconductor lasers, in: Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology, (Eds. L. Schimansky-Geier, B. Fiedler, J. Kurths, E. Schöll), World Scientific (2007), 185--212.
[8] E.A. Viktorov, P. Mandel, M. Kuntz, G. Fiol, D. Bimberg, A.G. Vladimirov, M. Wolfrum, Stability of the modelocking regime in quantum dot laser, Proc. of the CLEO Europe/IQEC Conference, Munich, June 17-22, (2007).
[9] E. Viktorov, P. Mandel, A. Vladimirov, M. Wolfrum, G. Fiol, M. Kuntz, D. Bimberg, Hybrid modelocking in a 40 GHz monolithic quantum dot laser, in: CLEO/Europe and EQEC 2009 Conference Digest, Optical Society of America, (2009).
[10] A.G. Vladimirov, M Wolfrum, G. Fiol, D. Arsenijevic, D. Bimberg, E. Viktorov, P. Mandel, D. Rachinskii, Locking characteristics of a 40GHz hybrid mode-locked monolithic quantum dot laser, Proc. SPIE, Vol. 7720, 77200Y-1-8. (2010).
[11] P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, T. Kapitaniak, Dynamics of a large ring of unidirectionally coupled duffing oscillators, in: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, Aberdeen (Eds. M. Wiercigroch, G.Rega), Springer (2013), 63-72.
[12] A. Glitzky, A. Mielke, L. Recke, M. Wolfrum, S. Yanchuk, Mathematics for optoelctronic devices, in: MATHEON – Mathematics for Key Technologies (Eds. P Deuflhard e.a.), EMS Series in Industrial and Appl. Math. 1 (2014).