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The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions
This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing +5 more
doaj +1 more source
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur +5 more
wiley +1 more source
ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS [PDF]
We study the existence of periodic solutions of the nonautonomous periodic Lyness' recurrenceun+2 = (an + un+1)/un, where {an}n is a cycle with positive values a, b and with positive initial conditions. It is known that for a = b = 1 all the sequences generated by this recurrence are 5-periodic.
Bastien, Guy +2 more
openaire +3 more sources
Organoids in pediatric cancer research
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
Phototrophs evolved light‐harvesting systems adapted for efficient photon capture in habitats enriched in far‐red radiation. A subset of eukaryotic pigment‐binding proteins can absorb far‐red photons via low‐energy chlorophyll states known as red forms.
Antonello Amelii +8 more
wiley +1 more source
Rectangular p-periodicity and pq-periodicity of a rational difference system
In this paper, we classify periodic characters of the positive solutions of the difference system (1) xn+1=αe−(yn+xn−1)β+yn+xn−1,yn+1=γe−(xn+yn−1)δ+xn+yn−1as rectangular p-periodic and pq-periodic solutions, where the constants α,β,γ,δ,x−1,x0,y−1,y0>0 ...
D.S. Dilip, Sibi C. Babu
doaj +1 more source
Mitochondrial fatty acid oxidation is stimulated by red light irradiation
Light at different wavelengths has distinct effects on keratinocyte viability and metabolism. UVA light abrogates metabolic fluxes. Blue and green light have no effect on metabolic fluxes, while red light enhanced oxidative phosphorylation by promoting fatty acid oxidation. Keratinocytes are the primary constituents of sunlight‐exposed epidermis.
Manuel Alejandro Herrera +4 more
wiley +1 more source
Some Further Results on Traveling Wave Solutions for the ZK-BBM() Equations
We investigate the traveling wave solutions for the ZK-BBM() equations by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out ...
Shaoyong Li, Zhengrong Liu
doaj +1 more source
The Lagrangian Conley Conjecture
We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions.
Mazzucchelli, Marco
core +3 more sources
Discontinuous bifurcations of periodic solutions
The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when ...
Leine, R.I., Campen, van, D.H.
openaire +2 more sources

