Results 41 to 50 of about 12,042 (291)

On the Double-Zero Bifurcation of Jerk Systems

, 2023
In this paper, we construct approximate normal forms of the double-zero bifurcation for a two-parameter jerk system exhibiting a non-degenerate fold bifurcation.
Cristian Lăzureanu
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Existence, stability and the number of two-dimensional invariant manifolds for the convective Cahn–Hilliard equation

Partial Differential Equations in Applied Mathematics
We study the well-known generalised version of the nonlinear Cahn–Hilliard evolution equation, supplemented with periodic boundary conditions. We study local bifurcations in the vicinity of spatially homogeneous equilibrium states.
A.N. Kulikov, D.A. Kulikov
doaj   +1 more source

Asymptotic Unfoldings of Dynamical Systems by Normalizing beyond the Normal Form

Journal of Differential Equations, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

, 2005
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der, Petersen, Mark A., Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, Petersen, Mark A.,   +4 more
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Resonant Normal Forms as Constrained Linear Systems [PDF]

, 2001
We show that a nonlinear dynamical system in Poincare–Dulac normal form (in ℝn) can be seen as a constrained linear system; the constraints are given by the resonance conditions satisfied by the spectrum of (the linear part of) the system and identify a ...
G. Gaeta
semanticscholar   +1 more source

Prognosis of Long‐Term Continuous Renal Replacement Therapy and the Impact of Combined Continuous Intravenous Sodium Infusion Therapy

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi, Atsuyoshi Mita, Kosuke Sonoda, Makoto Harada, Koji Hashimoto, Hiroshi Imamura, Yuji Kamijo   +6 more
wiley   +1 more source

A reversible bifurcation analysis of the inverted pendulum [PDF]

, 1998
The inverted pendulum with a periodic parametric forcing is considered as a bifurcation problem in the reversible setting. Parameters are given by the size of the forcing and the frequency ratio. Normal form theory provides an integrable approximation of
Broer, H.W., Broer, H.W.,, Noort, M. van, Broer, H.W.; id_orcid, Hoveijn, I.,, Noort, M. van,, Hoveijn, I.   +6 more
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Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

FEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi, Pilar Samperio Ventayol, Natalie Burkard, Nicolas Schlegel, Carmen Aguilar, Sina Bartfeld   +5 more
wiley   +1 more source

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

Ultradiscrete equations for bifurcations in low-dimensional dynamical systems (Recent Developments in Dynamical Systems and their Applications) [PDF]

, 2022
We discuss ultradiscrete equations in low-dimensional, especially, one-dimensional dynamical systems. The ultradiscrete equations are derived from the normal forms of the local bifurcations i.e., saddle-node, transcretical and pitchfork bifurcations, of ...
Ohmori, Shousuke, Yamazaki, Yoshihiro
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