... decision heuristics macroeconomic equilibrium nonlinear dynamics bifurcations and chaos E12 E21 E71 C61 Fundação para a Ciência e a Tecnologia 10.13039/501100001871 UIDB/04007/2020 Whether we refer to the popular baseline formulations still taught in classrooms all over the world...

... of forward-time isochrons can be described as quadratic tangencies. Corresponding author: [email protected] 16 9 2021 17 6 2022 In this paper, we show that certain classical bifurcations do give rise to nontransversality between forward-time and backward-time isochrons and, therefore...

... to some parameters. We find that the rates of apoptosis and mutations have a large influence on the pace of tumour progression and on the time it takes to become clinically detectable. multi-step tumorigenesis avascular tumour growth stability bifurcations Cancer is a complex disease that has more...

...Miroslaw Ferenc; Michael Gick; Thomas Comberg; Jürgen Rothe; Christian Valina; Aurel Toma; Nikolaus Löffelhardt; Willibald Hochholzer; Florian Riede; Rolf-Peter Kienzle; Amar Achtari; Franz-Josef Neumann In percutaneous coronary intervention (PCI) for bifurcation lesions, single stenting...

... oscillators is carried out and four bifurcation scenarios are considered. Conclusions are drawn in Section 4 . A physical model of an impact oscillator with one-sided soft constraint is sketched in Fig. 1 (a), where the displacement of the mass is represented by . The mass is connected...

...) bifurcations are investigated and their corresponding normal forms are obtained when the characteristic equation has a pair of purely imaginary roots and a double-zero root, respectively. For Hopf bifurcation, the direction and the stability of the limit cycle are given. For BT bifurcation, the bifurcation...

..., at which a Hopf bifurca- tion occurs, is found. Semi-analytical bifurcation diagrams and phase-plane maps are drawn, which show the initial Hopf bifurcation together with a classical period doubling route to chaos. A comparison of the semi-analytical and numerical solutions shows the accuracy...

...Christian Kuehn; Stefan Siegmund; Thilo Gross generalized models evolution equations bifurcations scaling transformation IMA Journal of Applied Mathematics (2013) 78, 1051–1077 doi:10.1093/imamat/hxs008 Advance Access publication on May 2, 2012 Dynamical analysis of evolution...

... effect dispersal bifurcations Mathematical Medicine and Biology (2011) 28, 129 152 doi:10.1093/imammb/dqq022 − Advance Access publication on December 24, 2010 Dynamics of population communities with prey migrations and Allee effects: a bifurcation...

...Steve Ramcharitar; Willem J. van der Giessen; Martin van der Ent; Patrick W. Serruys; Robert Jan van Geuns Drug eluting stents have radically changed the management of coronary bifurcations. To improve outcome kissing balloon dilatation, post-stenting is desirable. In the ‘crush’ bifurcation...

... linearized buckling operator, whereas the role of the non-linearities remains confined to that of amplifying such behaviour. amplitude equations Winkler foundation bifurcations multiscale asymptotics elastic stability IMA Journal of Applied Mathematics (2010) 75, 461 474 doi:10.1093/imamat/hxq006...

... treated with DES. Major adverse cardiac events were defined as death, myocardial infarction, and target lesion revascularization. Three hundred and thirty-four patients had ostial or midshaft lesions (group 1) and 777 bifurcations (group 2). The adjusted hazards ratio of the risk of 2 year MACE...

...Miroslaw Ferenc; Michael Gick; Rolf-Peter Kienzle; Hans-Peter Bestehorn; Klaus-Dieter Werner; Thomas Comberg; Piotr Kuebler; Heinz Joachim Büttner; Franz-Josef Neumann The optimal technical approach to catheter-based treatment of coronary bifurcation lesions is still a matter of debate. Compared...

... required for the cardiac CT examination, including patient preparation for scanning, image acquisition, and reconstruction of the appropriate data sets was 20–25 min. Evaluation of the CT coronary angiogram took on average about 5–10 min; the extra time needed to specifically assess the bifurcations...

... flter (λ 0), the laser equations reduce to the equations for a laser with optical injection, whereas they become the→ Lang–Kobayashi equations in the limit of an unbounded flter width (λ ). We perform a bifurcation analysis of steady-state solutions with the parameter λ as main...

...Mauricio D. Garay normal form theory A,D,E classification bifurcations wave fronts parabolic curves Legendrian mapping 21 10 2002 © London Mathematical Society 2004 Abstract We study germs of n-parameter families of functions, that is, function-germs of the type f...

... the solutions. age‐; structured models; haematopoiesis; stability; bifurcations; oscillations ...

...Guang Yuan Zhang BIFURCATIONS OF PERIODIC POINTS OF HOLOMORPHIC MAPS FROM C2 INTO C2 GUANG YUAN ZHANG [Received 7 July 1997ÐRevised 4 May 1998] To Professor Le Yang on his sixtieth birthday...

... of the density-fluctuation-correlation functions. The arrested parts of the latter are solutions of a fixed-point equation, which exhibits bifurcation singularities. The simplest ones are generic and degenerate fold bifurcations, which describe liquid–glass transitions. Schematic models are introduced in order...

...Tipping points are metaphors of sudden change, of fear, of falling, of foreboding, and of failure. Tipping points are thresholds of tolerance, of bifurcation, and of transformation which are built into complex systems of transformation. Sudden change can arise from earth system phase changes...