Michael Schanz

Physics and Astronomy · Physical Sciences

23h-index1.5kcitations80works0.02yr avg
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Research Topics

Chaos control and synchronization(27), Quantum chaos and dynamical systems(23), Mathematical Dynamics and Fractals(14), Nonlinear Dynamics and Pattern Formation(14), Advanced Differential Equations and Dynamical Systems(14)

Publications80 total

3D-ACA for the time domain boundary element method: Comparison of FMM and H-matrix based approaches
2024Open Access
3D-ACA for the time domain boundary element method: Comparison of FMM and H-matrix based approaches
2024Open Access
Eindimensionale CMOS Bildsensorik mit integrierter Signalverarbeitung
DuEPublico (University of Duisburg-Essen)·2022· 3 citedOpen Access
Bifurcations of Chaotic Attractors in One-Dimensional Piecewise Smooth Maps
International Journal of Bifurcation and Chaos·2014· 35 cited
Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps: Invariant Sets and Bifurcation Structures
2014· 26 cited
Thromboseprophylaxe im Spannungsverhältnis zwischen Wirtschaftlichkeit und dem geschuldeten Sorgfaltsmaßstab
2014
Bandcount incrementing scenario revisited and floating regions within robust chaos
Mathematics and Computers in Simulation·2013· 3 cited
Organizing centers in parameter space of discontinuous 1D maps. The case of increasing/decreasing branches
ESAIM Proceedings·2012· 8 citedOpen Access
Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map
ESAIM Proceedings·2012· 5 citedOpen Access
Breaking the continuity of a piecewise linear map
ESAIM Proceedings·2012· 4 citedOpen Access
The discontinuous flat top tent map and the nested period incrementing bifurcation structure
Chaos Solitons & Fractals·2012· 19 cited
PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES
International Journal of Bifurcation and Chaos·2012· 28 cited
Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps
Nonlinearity·2011· 28 cited
Critical homoclinic orbits lead to snap-back repellers
Chaos Solitons & Fractals·2011· 47 cited
Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map
Nonlinear Dynamics·2011· 20 cited
On a bifurcation structure mimicking period adding
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences·2011· 10 cited
Coexistence of the Bandcount‐Adding and Bandcount‐Increment Scenarios
Discrete Dynamics in Nature and Society·2011· 8 citedOpen Access
Self-similarity of the bandcount adding structures: Calculation by map replacement
Regular and Chaotic Dynamics·2010· 10 cited
CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT
International Journal of Bifurcation and Chaos·2010· 54 cited
BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH
International Journal of Bifurcation and Chaos·2010· 73 cited
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Frequent Co-authors

Виктор Аврутин(27), Laura Gardini(10), Jens Starke(7), B.J. Hosticka(6), Paul Levi(5), Soumitro Banerjee(4), Axel Pelster(4), Iryna Sushko(4), W. Brockherde(4), Bernd Eckstein(4), Fabio Tramontana(3), Hermann Haken(3), Albert Granados(3), Mohamed Oubbati(3), Christian Nitta(2), Reiner Wertheimer(2), R. Hauschild(2), Ben Futter(2), Thorsten Buchheim(2), T. Kaga(2)