Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Michael Schanz"'
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2011 (2011)
We investigate the structure of the chaotic domain of a specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the peri
Externí odkaz:
https://doaj.org/article/4c990183020942f0a79f54ef59a9c6a3
Publikováno v:
Mathematics and Computers in Simulation. 95:23-38
When dealing with piecewise-smooth systems, the chaotic domain often does not contain any periodic inclusions, which is called ''robust chaos''. Recently, the bifurcation structures in the robust chaotic domain of 1D piecewise-linear maps were invest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0038f3c25e54982b6e4c8a4db8803fd
https://doi.org/10.1016/j.matcom.2013.06.001
https://doi.org/10.1016/j.matcom.2013.06.001
Publikováno v:
STAR Protocols, Vol 4, Iss 3, Pp 102459- (2023)
Summary: Two-hybrid Förster resonance energy transfer (FRET) provides proximity, affinity, and stoichiometry information in binding interactions. We present an image-based approach that surpasses traditional two-hybrid FRET assays in precision and r
Externí odkaz:
https://doaj.org/article/ecc1c122da39485883f1e477ae2b4997
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 36, Pp 73-105 (2012)
Knowledge about the behavior of discontinuous piecewise-linear maps is important for a wide range of applications. An efficient way to investigate the bifurcation structure in 2D parameter spaces of such maps is to detect specific codimension-2 bifur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc61df532c41611a24fb6323ff0ec3d2
https://doi.org/10.1051/proc/201236008
https://doi.org/10.1051/proc/201236008
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 36, Pp 126-158 (2012)
In this work we consider the discontinuous flat top tent map which represents an example for discontinuous piecewise-smooth maps, whereby the system function is constant on some interval. Such maps show several characteristics caused by this constant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96ed4f85193142035eceb36ca2785866
https://doi.org/10.1051/proc/201236011
https://doi.org/10.1051/proc/201236011
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 36, Pp 106-120 (2012)
This work contributes to classify the dynamic behaviors of piecewise smooth systems in which border collision bifurcations characterize the qualitative changes in the dynamics. A central point of our investigation is the intersection of two border co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96ca0df54a606fe53fb394c4e0c80c52
https://doi.org/10.1051/proc/201236009
https://doi.org/10.1051/proc/201236009
Publikováno v:
Chaos, Solitons & Fractals. 45:465-482
In this work we report the recently discovered nested period incrementing bifurcation scenario. The investigated piecewise linear map is defined on three partitions of the unit interval, constant in the middle partition and therefore displays a rich
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c15a84c392548509bd465c25b67dc21d
https://doi.org/10.1016/j.chaos.2012.01.009
https://doi.org/10.1016/j.chaos.2012.01.009
Publikováno v:
Nonlinearity. 24:2575-2598
Typically, big bang bifurcation occurs for one (or higher)-dimensional piecewise-defined discontinuous systems whenever two border collision bifurcation curves collide transversely in the parameter space. At that point, two (feasible) fixed points co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::346ae441f19dc442a8bc8537f9ad9a74
https://doi.org/10.1088/0951-7715/24/9/012
https://doi.org/10.1088/0951-7715/24/9/012
Publikováno v:
Nonlinear Dynamics. 67:293-307
Multiple attractor bifurcations occurring in piecewise smooth dynamical systems may lead to potentially damaging situations. In order to avoid these in physical systems, it is necessary to know their conditions of occurrence. Using the piecewise-line
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6d92d2bbf262c4d55bb1588c5319e81
https://doi.org/10.1007/s11071-011-9978-5
https://doi.org/10.1007/s11071-011-9978-5
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 467:1503-1518
In this work, we investigate a piecewise-linear discontinuous scalar map defined on three partitions. This map is specifically constructed in such a way that it shows a recently discovered bifurcation scenario in its pure form. Owing to its structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9c79e4a8c6475fb552c3a11d7b65ae0
https://doi.org/10.1098/rspa.2010.0573
https://doi.org/10.1098/rspa.2010.0573