Results 81 to 90 of about 20,465 (306)
Variational and penalization methods for studying connecting orbits of Hamiltonian systems
In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria.
Chao-Nien Chen, Shyuh-yaur Tzeng
doaj
Calculus of Variations: Nature's Parsimonious Self-Computation
In addition to being intrinsically interesting, calculus of variations constitutes an area that has been extensively considered in both theoretic and applied areas, underlying a large number of structures and phenomena, including the stationary action ...
da Fontoura Costa, Luciano
core
pH‐mediated activation of the lysosomal arginine sensor SLC38A9
Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
Sobolev inequalities in 2-D hyperbolic space: A borderline case
Sobolev inequalities in two-dimensional hyperbolic space are dealt with. Here is modeled on the upper Euclidean. half-plane equipped with the Poincaré–Bergman metric.
Mugelli Francesco, Talenti Giorgio
doaj
NVIS HF signal propagation in ionosphere using calculus of variations
Modeling Near Vertical Incidence Sounding (NVIS) High Frequency (HF) signal propagation in the ionosphere is important. Because, ionosondes which are special types of radars probing the ionosphere with certain HF frequencies (between 2 and 30 MHz), work ...
Umut Sezen, Feza Arikan, Orhan Arikan
doaj +1 more source
Automatic computation of conservation laws in the calculus of variations and optimal control
We present analytical computational tools that permit us to identify, in an automatic way, conservation laws in optimal control. The central result we use is the famous Noether's theorem, a classical theory developed by Emmy Noether in 1918, in the ...
Gouveia, Paulo D.F., Torres, Delfim F.M.
core
A Calculus for Variational Programming.
Variation is ubiquitous in software. Many applications can benefit from making this variation explicit, then manipulating and computing with it directly---a technique we call "variational programming". This idea has been independently discovered in several application domains, such as efficiently analyzing and verifying software product lines ...
Chen, Sheng +2 more
openaire +3 more sources
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
A Direct Approach to Shape Optimisation of Structures
Shape optimisation of structures constitutes - mathematically a non-standard problem of the calculus of variations consisting in searching for the conditional extremum of a functional which does not possess, as a rule, a "localization property".
Z.K. Leśniak
doaj
Solution of the inverse problem of the calculus of variations [PDF]
summary:Given a family of curves constituting the general solution of a system of ordinary differential equations, the natural question occurs whether the family is identical with the totality of all extremals of an appropriate variational problem ...
Jesse Douglas, Chrastina, Jan
core +1 more source

