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This Perspective charts the modeling landscape for soft manipulators, spanning sparse system identification, neural dynamics, physics‐informed models and hybrid intelligence. We examine how physics, data, sensing, adaptation and control can assume complementary roles within this landscape, and provide a framework for selecting modeling approaches ...
Wenbo Hui +4 more
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µSlicer for Programmable Multimaterial 3D Printing
ABSTRACT Nature rarely builds with uniform materials; instead, it achieves exceptional performance by arranging composition and structure across multiple length scales. Mimicking such architectures has become increasingly feasible with additive manufacturing, and especially with multimaterial 3D printing, where complex structures with spatially varying
Daniel H. Meile +5 more
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From Artificial to Embodied and Physical Intelligence in Smart Manufacturing
Smart manufacturing is reframed through complementary artificial, embodied, and physical intelligence, spanning computational reasoning, perception‐action coupling, and material‐level adaptation. Their integration across design, fabrication, operation, and maintenance reveals how intelligence can be co‐designed across algorithms, embodied agents, and ...
Kang Wang +9 more
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Algorithmic Global Criteria for Excluding Oscillations
Bulletin of Mathematical Biology, 2011We 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. +2 more
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Chaotic Oscillation via Edge of Chaos Criteria
International Journal of Bifurcation and Chaos, 2017In 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, 1990The 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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Oscillation Criteria for Matrix Differential Equations
Canadian Journal of Mathematics, 1967We shall be concerned at first with some properties of the solutions of the matrix differential equation1.1whereis an n × n symmetric matrix whose elements are continuous real-valued functions for 0 < x < ∞, and Y(x) = (yij(x)), Y″(x) = (y″ ij(x)) are n × n matrices.
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Oscillation Criteria for Nonlinear Differential Equations With Damping
Applied Mathematics and Computation, 2003The 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 +4 more sources
Iterative Oscillation Criteria in Deviating Difference Equations
Mediterranean Journal of Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George E. Chatzarakis, Irena Jadlovská
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Perturbative Oscillation Criteria and Hardy‐Type Ineqalities
Mathematische Nachrichten, 1998AbstractWe prove a natural generalization of Kneser's oscillation and Hardy's inequality for Sturm‐Liouville differential expressions. In Particular, assuming − d/dxp0(x)+q0(x), x ∈ a, b), −∞≦a<b≦∞, to be nonoscillatory near a (or b), we determine condition on q(x) such that − d/dxp0(x)+q0(x)+q(x) is nonoscillatory, respectively, oscillatory near a (
Gesztesy, F., Ünal, M.
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