Publications

Publications BV: Articles in Journals

• Avrutin, Viktor; Dibak, Christoph; Dal Forno, Arianna; Merlone, Ugo: Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition. In: International Journal of Bifurcation and Chaos. Vol. 25(11), World Scientific, 2015.

• Avrutin, Viktor; Futter, Ben; Gardini, Laura; Schanz, Michael: Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map. In: ESAIM: Proceedings. Vol. 36, EDP Sciences, 2012.
• Futter, Ben; Avrutin, Viktor; Schanz, Michael: The discontinuous flat top tent map and the nested period incrementing bifurcation structure. In: Chaos, Solitons & Fractals. Vol. 45(4), Elsevier, 2012.

• Avrutin, Viktor; Granados, Albert; Schanz, Michael: Sufficient conditions for a period increment big bang bifurcation in one-dimensional maps. In: Nonlinearity. Vol. 24(9), IOP Publishing, 2011.
• Avrutin, Viktor; Schanz, Michael; Schenke, Björn: Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios. In: Discrete Dynamics in Nature and Society. Vol. 2011(Article ID 681565), Online (Hindawi Publishing Corporation).
• Schenke, Björn; Avrutin, Viktor; Schanz, Michael: On a bifurcation structure mimicking period adding. In: Proceedings of the Royal Society A. Vol. 467(2129), London: The Royal Society, 2011.

• Avrutin, Viktor; Dutta, Partha Sharathi; Schanz, Michael; Soumitro, Banerjee: Influence of a square-root singularity on the behaviour of piecewise smooth maps. In: Nonlinearity. Vol. 23(2), IOP Science, 2010.
• Avrutin, Viktor; Fossas, Enric; Granados, Albert; Schanz, Michael: Virtual orbits and two-parameter bifurcation analysis in a ZAD-controlled buck converter. In: Springer-Verlag (ed.): Zeitschrift: Nonlinear Dynamics, Online, 2010.
• Avrutin, Viktor; Schanz, Michael; Gardini, Laura: On a special type of border-collision bifurcations occurring at infinity. In: Physica D. Vol. 239(13), Elsevier, 2010.
• Avrutin, Viktor; Schanz, Michael; Gardini, Laura: Calculation of Bifurcation Curves by Map Replacement. In: International Journal of Bifurcation and Chaos. Vol. 20(10), World Scientific Publishing Company, 2010.
• Avrutin, Viktor; Schanz, Michael; Gardini, Laura: Self-similarity of the bandcount adding structures: Calculation by map replacement. In: Regular and Chaotic Dynamics. Vol. 15(6), Springer Verlag, 2010.
• Gardini, Laura; Tramontana, Fabio; Avrutin, Viktor; Schanz Michael: Border-Collision Bifurcations in 1D Piecewise-Linear Maps and Leonov's Approach. In: International Journal of Bifurcation and Chaos. Vol. 20(10), World Scientific Publishing Company, 2010.

• Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. III. Deformed structures. In: Proceedings of the Royal Society A. Vol. 465(2101), Royal Society Publishing, 2009.
• Benkmann, Ruben; Käppeler, Uwe-Philipp; Zweigle, Oliver; Lafrenz, Reinhard; Levi, Paul: Resolving Inconsistencies Using Multi-Agent Sensor Systems. In: Noberto Pires, J. (ed.): Robotica. Vol. 03/09(76), Coimbra: Engebook, 2009.

• Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. I. Basic structures. In: Proceedings of the Royal Society A. Vol. 464(2095), Royal Society Publishing, 2008.
• Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. II. Interior structures. In: Proceedings of the Royal Society A. Vol. 464(2097), Royal Society Publishing, 2008.
• Avrutin, Viktor; Schanz, Michael: On the fully developed bandcount adding scenario. In: Nonlinearity. Vol. 21, IOP Publishing, 2008.

• Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: On detection of multi-band chaotic attractors. In: Proceedings of the Royal Society A. Vol. 463(2081), The Royal Society, 2007.
• Avrutin, Viktor; Schanz, Michael; Banerjee, Soumitro: Codimension-3 bifurcations: Explanation of the complex 1-, 2- and 3D bifurcation structures in nonsmooth maps. In: Physical Review E. Vol. 75(6), American Physical Society (APS), 2007.

• Avrutin, V.; Levi, P.; Schanz, M.; Fundinger, D.; Osipenko, G.: Investigation of Dynamical Systems Using Symbolic Images: Efficient Implementation and Applications. In: International Journal of Bifurcation and Chaos. Vol. 16(12), New Jersey, London, Singapore, Hong Kong: World Scientific Publishing Company, 2006.
• Avrutin, Viktor; Schanz, Michael; Banerjee, Soumitro: Multi-parametric Bifurcations in a piecewise-linear discontinuous Map. In: Nonlinearity. Vol. 19, IoP The Institute of Physics Publishing, 2006.
• Avrutin, Viktor; Schanz, Michael: On multi-parametric Bifurcations in a scalar piecewise-linear Map. In: Nonlinearity. Vol. 19, IoP The Institute of Physics Publishing, 2006.

• Avrutin, V.; Schanz, M.: On special types of two- and three-parametric bifurcations in piecewise-smooth dynamical systems. In: WSEAS Transactions on Mathematics. Vol. 3(4), WSEAS Press, 2005.
• Avrutin, Viktor; Schanz, Michael: Period-doubling Scenario without Flip Bifurcations in a one-dimensional Map. In: International Journal of Bifurcation and Chaos. Vol. 15(4), World Scientific Publishing Company, 2005.
• Starke, J.; Kaga, T.; Schanz, M.; Fukuda, T.: Experimental Study on Self-organized and Error Resistant Control of Distributed Autonomous Robotic Systems. In: The International Journal of Robotics Research. Vol. 24(6), Sage Publications, 2005.

• Avrutin, V.; Lammert, R.; Schanz, M.; Wackenhut, G.: On the AnT 4669 Project: Software Architecture and new Features. In: Osipenko, G. (ed.): Computer Modeling of Dynamical Systems, Saint-Petersburg, Russia: State Polytechnic University, 2004.
• Avrutin, V.; Schanz, M.: Border-collision period-doubling scenario. In: The American Physical Society (ed.): Physical Review E. Vol. 70, 026222, 2004, Thomson ISI.
• Kornienko, O.; Kornienko, S.; Levi, P.: Dynamische Prozeßplanung auf der Basis der Multi-Agenten-Technologie. In: Industrie Management. Bd. 2, 2004, n. a.
• Kornienko, O.; Kornienko, S.; Priese, J.: Application of multi-Agent Planning to the Assignment Problem. In: Computers in Industry, Elsevier, 2004.

• Kornienko, O.; Kornienko, S.; Levi, P.: Behandlung von Turbulenzen in der Produktion durch intelligente Agentensysteme. In: Lebendige Wissenschaft. Bd. 2, n. a., 2003.
• Lafrenz, R.: Lauf, Rudi, lauf. In: Karriereführer Informationstechnologie 2003. Bd. 6, transmedia-Verlag.
• Osipenko, G.; Schanz, M.; Ershov, E.: Test for Hyperbolicity of a dynamical System. In: Osipenko, G. (ed.): Tools for mathematical Modelling. Vol. 9, n.a., 2003.
• Pelster, Axel; Kleinert, Hagen; Schanz, Michael: High-order variational Calculation for the Frequency of Time-periodic Solutions. In: The American Physical Society (ed.): Physical Review E. Vol. 67, 016604, Thomson ISI, 2003.
• Schanz, Michael; Pelster, Axel: Analytical and numerical Investigations of the Phase-locked Loop with Time Delay. In: The American Physical Society (ed.): Physical Review E. Vol. 67, 056205, 2003, Thomson ISI.
• Schanz, Michael; Pelster, Axel: Synergetic System Analysis for the Delay-induced Hopf Bifurcation in the Wright Equation. In: SIAM Journal on Applied Dynamical Systems. Vol. 2, SIAM Journals Online, 2003.

• Avrutin, V.; Lammert, R.; Lippold, D.; Levi, P.; Schanz, M.: Rechnergestützte Simulation autonomer Agenten in einer sozionischen Welt. In: Sozionik aktuell. Bd. 2, n. n., 2001.
• Dörner, D.; Levi, P.; Detje, F.; Lippold, D.: Der agentenorientierte, sozionische Ansatz mit PSI.. In: Sozionik aktuell, n. n., 2001.

• Avrutin, V.; Schanz, M.: On the scaling Properties of the period-increment Scenario in dynamical Systems. In: Chaos, Solitons & Fractals. Vol. 11, Science Direct, 2000.
• Lafrenz, R.; Schanz, M.; Schulé, M.: Roboter Fußball-Weltmeisterschaft 2000 in Melbourne. In: infos-Zeitung. Bd. 4(1), 2000, Stuttgart, Germany: n.a.
• Levi, P.; Schanz, M.; Avrutin, V.: Modelling and Analysis of a simple manufacturing-oriented Multi-Agent System. In: Discrete Dynamics in Nature and Science. Vol. 5, n. a., 2000.
• Westkämper, E.; Wiendahl, H.-H.; Pritschow, G.; Rempp, B.; Schanz, M.: Turbulenz in der PPS - eine Analogie. In: wt Werkstattstechnik. Bd. 90(5), 2000, n. a.
• Wiendahl, H.-H.; Rempp, B.; Schanz, M.: Turbulenzen erschweren die Planungssicherheit. In: IO-Management. Bd. 5, n. a., 2000.

• Lafrenz, R.; Schanz, M.; Schulé, M.: Roboter Wettbewerb 1999. In: infos-Zeitung. Bd. 3/2, Stuttgart: n. a.
• Levi, P.; Avrutin, V.; Schanz, M.: Modelling and Analysis of a simple manufacturing-oriented multi-agent System. In: Discrete Dynamics in Nature and Science, n. a., 1999.
• Levi, P.; Lammert, R.: Modelling and Stability Analysis of the Dynamic Behavior in Cooperative Robot Systems. In: Modelling and Planning for Sensor-Based Intelligent Robot Systems, Springer-Verlag, 1999.
• Levi, P.; Schanz, M.; Kornienko, S.; Kornienko, O.: Application of Order Parameter Equations for the Analysis and the Control of nonlinear Time discrete dynamical Systems. In: International Journal of Bifurcation and Chaos. Vol. 9(8), 1999, World Scientific Publishing Company.
• Piriyakumar, D.; Levi, P.: An efficient A* based Algorithm for optimal Graph matching applied to Computer Vision. In: Pattern Recognition and Image Understanding (5th Open German-Russian Workshop), Springer-Verlag, 1999.

• Bräunl, T.: Der Teppichkrieger - Mobile Mini-Roboter selber bauen und steuern. In: c't Magazin für Computertechnik. Bd. 1996(1), Heise Verlag.

• Gerl, S.; Levi, P.: Gesichtsvergleich durch mehrkanaliges selbsorganisierendes Matchingverfahren. In: Sagerer, G. (ed.); Posch, G. (ed.); Kummer, F. (ed.): Mustererkennung 1995, Springer-Verlag.
• Haken, H.; Lorenz, W.; Schanz, M.; Wunderlin, A.: Fragestellungen und Resultate der modernen Chaosforschung. In: Universität Mannheim (ed.): Mannheimer Berichte. Bd. 44, Mannheim: Universität Mannheim, 1995.
• Levi, P.; Mache, N.; Harrer, T.: Fractal Coding of Image Sequences for Motion Planning. In: Bunke, H. (ed.); Noltemeier, H. (ed.): Environment Modelling and Motion Planning for Autonomous Robots, World Scientific Inc., 1995.
• Tass, P.; Wunderlin, A.; Schanz, M.: A theoretical model of sinusoidal forearm tracking with delayed visual feedback. In: Springer Netherlands (ed.): Journal of Biological Physics. Vol. 21(2), Springer Netherlands, 1995.

• Bräunl, T.: Randbemerkungen zur Prallelverarbeitung Informationstechnik und Technische Informatik. In: it+ti. Bd. 3, Oldenbourg-Verlag, 1994.
• Haken, H.; Lorenz, W.; Schanz, M.; Wunderlin, A.: Ordnung im Chaos. In: Photon. Bd. 2, Magazin Nycomed, 1994.
• Zell, A.; Mamier, G.; Vogt, M.; Mache, N.; Hübner, R.: Der Stuttgarter Neuronale Netze Simulator, Konnektionismus und Neuronale Netze. In: Beiträge zur Herbstschule HeKoNN-94, Münster, Westfalen, Germany: n. a., 1994.

• Levi, P.; Hahndel, S.: Kooperative Systeme in der Fertigung. In: Müller, J. (ed.): Verteilte Künstliche Intelligenz, BI-Verlag, 1993.
• Levi, P.; Radig, B.: Verarbeiten und Verstehen von Bildern. In: Handbuch der Informatik. Bd. 6.4, München, Germany: Oldenburg-Verlag, 1993.