Results 21 to 30 of about 24,433 (239)

Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert’s 16th Problem

Entropy
The detection of limit cycles of differential equations poses a challenge due to the type of the nonlinear system, the regime of interest, and the broader context of applicable models.
Vinícius Barros da Silva, João Peres Vieira, Edson Denis Leonel   +2 more
doaj   +1 more source

Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra [PDF]

, 2010
summary:In this paper differential forms and differential algebra are applied to give a new definition of realization for multivariable nonlinear systems consistent with the linear realization theory.
Moog, Claude H., Moog, Claude, Xia, Xiaohua, Moog, Claude, H., Zhang, Jiangfeng, Zhang, Jiangfeng Jeff   +5 more
core   +2 more sources

Hidden dynamics in models of discontinuity and switching [PDF]

, 2014
Sharp switches in behaviodr, like impacts, stick slip motion, or electrical relays, can be modelled by differential equations with discontinuities. A discontinuity approximates fine details of a switching process that lie beyond a bulk empirical model ...
Mike R. Jeffrey, Jeffrey, Mike R.
core   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

FEBS Letters, EarlyView.
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, Misaki K. Nishio, Satoru Okuda, Kohji Hotta   +3 more
wiley   +1 more source

Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]

, 2000
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
core  

An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru, Sakamoto, N., Sakamoto, Noboru,, van der Schaft, Arjan, Schaft, Arjan J. van der, Noboru Sakamoto, Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, van der Schaft, AJ; id_orcid, Arjan J. van der Schaft, van der Schaft, AJ   +10 more
core   +1 more source

An unexpected alternative viologen electron mediator site in tungsten‐containing formate dehydrogenase

FEBS Letters, EarlyView.
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley   +1 more source

A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]

, 2007
A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio, Traversa F.L, Donati Guerrieri, Simona, TRAVERSA F. L   +3 more
core   +1 more source

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

FEBS Letters, EarlyView.
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson, Tomáš Gedeon, Mauricio Garcia Benitez, Campbell Putnam, William R. Harcombe, Radhakrishnan Mahadevan, Ashley E. Beck   +6 more
wiley   +1 more source

PRIN 2009: Critical point theory and perturbative methods for nonlinear differential equations. Hamiltonian Systems and Partial Differential Equations [PDF]

, 2011
Many partial differential equations arising in Physics can be seen as innite dimensional Hamiltonian systems. Main examples are the nonlinear Schrodinger (NLS) and wave (NLW) equations, the beam, membrane and Kirkhoff equations in elasticity theory, the ...
BERTI, MASSIMILIANO
core