Viktor Avrutin

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 10

Top Topics

Sparse Representation

Chaotic Dynamics

Mumford Shah Functional

Piecewise Smooth

Top Venues

Int. J. Bifurc. Chaos

Math. Comput. Simul.

Publications

Jonas Kuckling, Robin Luckey, Viktor Avrutin, Andrew Vardy, Andreagiovanni Reina, Heiko Hamann
Do We Run Large-scale Multi-Robot Systems on the Edge? More Evidence for Two-Phase Performance in System Size Scaling. ICRA (2024)
Viktor Avrutin, Arianna Dal Forno, Ugo Merlone
Codimension-2 Bifurcations in a Quantum Decision Making Model. Int. J. Bifurc. Chaos 33 (13) (2023)
Jonas Kuckling, Robin Luckey, Viktor Avrutin, Andrew Vardy, Andreagiovanni Reina, Heiko Hamann
Do We Run Large-scale Multi-Robot Systems on the Edge? More Evidence for Two-Phase Performance in System Size Scaling. CoRR (2023)
Sergey Kryzhevich, Viktor Avrutin, Nikita Begun, Dmitrii I. Rachinskii, Khosro Tajbakhsh
Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps. Axioms 10 (2) (2021)
Iryna Sushko, Viktor Avrutin, Laura Gardini
Center Bifurcation in the Lozi Map. Int. J. Bifurc. Chaos 31 (16) (2021)
Zhanybai T. Zhusubaliyev, Viktor Avrutin, Frank Bastian
Transformations of Closed Invariant Curves and Closed-Invariant-Curve-Like Chaotic Attractors in Piecewise Smooth Systems. Int. J. Bifurc. Chaos 31 (3) (2021)
Viktor Avrutin, Zhanybai T. Zhusubaliyev
Piecewise-Linear Map for Studying Border Collision Phenomena in DC/AC Converters. Int. J. Bifurc. Chaos 30 (7) (2020)
Viktor Avrutin, Zhanybai T. Zhusubaliyev
Nested Closed Invariant Curves in Piecewise Smooth Maps. Int. J. Bifurc. Chaos 29 (7) (2019)
Anastasiia Panchuk, Iryna Sushko, Viktor Avrutin
Bifurcation Structures in a Bimodal Piecewise Linear Map. Frontiers Appl. Math. Stat. 3 (2017)
Viktor Avrutin, Zhanybai T. Zhusubaliyev, Arindam Saha, Soumitro Banerjee, Iryna Sushko, Laura Gardini
Dangerous Bifurcations Revisited. Int. J. Bifurc. Chaos 26 (14) (2016)
Viktor Avrutin, Björn Schenke, Laura Gardini
Calculation of homoclinic and heteroclinic orbits in 1D maps. Commun. Nonlinear Sci. Numer. Simul. 22 (Issues) (2015)
Anastasiia Panchuk, Iryna Sushko, Viktor Avrutin
Bifurcation Structures in a Bimodal Piecewise Linear Map: Chaotic Dynamics. Int. J. Bifurc. Chaos 25 (3) (2015)
Viktor Avrutin, Christoph Dibak, Arianna Dal Forno, Ugo Merlone
Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition. Int. J. Bifurc. Chaos 25 (11) (2015)
Fabio Tramontana, Iryna Sushko, Viktor Avrutin
Period adding structure in a 2D discontinuous model of economic growth. Appl. Math. Comput. 253 (2015)
Viktor Avrutin, Bernd Eckstein, Michael Schanz, Björn Schenke
Bandcount incrementing scenario revisited and floating regions within robust chaos. Math. Comput. Simul. 95 (2014)
Laura Gardini, Viktor Avrutin, Iryna Sushko
Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps. Int. J. Bifurc. Chaos 24 (2) (2014)
Viktor Avrutin, Iryna Sushko, Laura Gardini
Cyclicity of chaotic attractors in one-dimensional discontinuous maps. Math. Comput. Simul. 95 (2014)
Viktor Avrutin, Laura Gardini, Michael Schanz, Iryna Sushko
Bifurcations of Chaotic Attractors in One-Dimensional Piecewise Smooth Maps. Int. J. Bifurc. Chaos 24 (8) (2014)
Anastasiia Panchuk, Iryna Sushko, Björn Schenke, Viktor Avrutin
Bifurcation Structures in a Bimodal piecewise Linear Map: Regular Dynamics. Int. J. Bifurc. Chaos 23 (12) (2013)
Fabio Tramontana, Laura Gardini, Viktor Avrutin, Michael Schanz
Period Adding in Piecewise Linear Maps with Two Discontinuities. Int. J. Bifurc. Chaos 22 (3) (2012)
Laura Gardini, Fabio Tramontana, Viktor Avrutin, Michael Schanz
Border-Collision bifurcations in 1D Piecewise-Linear Maps and Leonov's Approach. Int. J. Bifurc. Chaos 20 (10) (2010)
Viktor Avrutin, Michael Schanz, Laura Gardini
Calculation of bifurcation Curves by Map Replacement. Int. J. Bifurc. Chaos 20 (10) (2010)
Viktor Avrutin, Paul Levi, Michael Schanz, Danny Fundinger, George Osipenko
Investigation of Dynamical Systems Using Symbolic Images: Efficient Implementation and Applications. Int. J. Bifurc. Chaos 16 (12) (2006)
Viktor Avrutin, Andreas Koch, Reinhard Lafrenz, Paul Levi, Michael Schanz
A Unified Architecture for the Control Software of a Robot Swarm: Design and Investigation Results. AMS (2005)
Viktor Avrutin, Michael Schanz
Period-Doubling Scenario without flip bifurcations in a One-Dimensional Map. Int. J. Bifurc. Chaos 15 (4) (2005)
Paul Levi, Michael Schanz, Viktor Avrutin, Robert Lammert
Modeling and Stability Analysis of the Dynamic Behavior in Load Sharing Systems. Sensor Based Intelligent Robots (1998)