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Optimizing wearable IMU configurations for running gait analysis: a machine learning-based sensor fusion approach. [PDF]

Front Bioeng Biotechnol
Yuan Y, Yu Y, Cai S, Cheng W.
europepmc   +1 more source

Oscillation Criteria for Quasilinear Equations

Canadian Journal of Mathematics, 1974
Several authors have recently considered the problem of establishing sufficient criteria to guarantee the oscillation or non-oscillation of all solutions of a second order elliptic equation or system. We mention in particular the papers of C. A. Swanson, [15; 16], K. Kreith [9], Kreith and Travis [10], Noussair and Swanson [13], Allegretto and Swanson [
W. Allegretto
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Oscillation criteria for nonlinear differential equations with damping

Applied Mathematics and Computation, 2003
The author presents oscillation criteria for the damped nonlinear differential equation \[ (r(t)x')'+ p(t)x' + q(t)f(x)=0, \tag{*} \] where \(r,f\) are continuously differentiable functions, \(r(t)>0\), \(p,q\) are continuous, \(xf(x)>0\) for \(x\neq 0\), and it is supposed that there exists \(\lambda>0\) such that \(f'(x)>\lambda\) for \(x\in \mathbb ...
exaly   +3 more sources

Oscillation criteria for a nonlinear difference equation

Computers and Mathematics With Applications, 1998
Essential and nontrivial improvements and extensions of several recent oscillation criteria are obtained for the nonlinear difference equation (1 ...
Wan-Tong Li, Sui Sun Cheng
exaly   +2 more sources

Linear transformation and oscillation criteria for Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2007
Using a linear transformation similar to the Kummer transformation, some new oscillation criteria for linear Hamiltonian systems are established. These results generalize and improve the oscillation criteria due to I.S. Kumari and S.
Zhaowen Zheng
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Algorithmic Global Criteria for Excluding Oscillations

Bulletin of Mathematical Biology, 2011
We investigate algorithmic methods to tackle the following problem: Given a system of parametric ordinary differential equations built by a biological model, does there exist ranges of values for the model parameters and variables which are both meaningful from a biological point of view and where oscillating trajectories, can be found? We show that in
Weber, A., Sturm, T. ; https://orcid.org/0000-0002-8088-340X, Abdel-Rahman, E.   +2 more
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Oscillation criteria for a neutral difference equation with delay

Applied Mathematics Letters, 1995
Based on the monotonicity properties of solutions of a recurrence relation, we derive several oscillation criteria for a related neutral difference equation with ...
Guang Zhang, Sui Sun Cheng
exaly   +2 more sources

Chaotic Oscillation via Edge of Chaos Criteria

International Journal of Bifurcation and Chaos, 2017
In this paper, we show that nonlinear dynamical systems which satisfy the edge of chaos criteria can bifurcate from a stable equilibrium point regime to a chaotic regime by periodic forcing. That is, the edge of chaos criteria can be exploited to engineer a phase transition from ordered to chaotic behavior. The frequency of the periodic forcing can be
Makoto Itoh, Leon O. Chua
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Oscillation Criteria in Delay Differential Inequalities

Mathematische Nachrichten, 1990
The paper contains new sufficient conditions under which every solution x of delay differential inequalities of the forms \[ x^{(n)}(t)sgn x(t)\geq p(t)\prod^{m}_{i=1}| x(g_ i(t))|^{r_ i} \] and \[ x^{(n)}(t)sgn x(t)\geq \sum^{m}_{i=1}p_ i(t)| x(g_ i(t))|, \] is either oscillatory or \(\lim_{t\to \infty} | x^{(k)}(t)| =\infty\) \((k=0,1,...,n-1 ...
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