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Generalized polynomial chaos expansion by reanalysis using static condensation based on substructuring
This paper presents a new computational method for forward uncertainty quantification (UQ) analyses on large-scale structural systems in the presence...
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Non-intrusive polynomial chaos expansion for robust topology optimization of truss-like continuum under random loads
This paper dedicates to presenting an uncertainty analysis framework for robust topology optimization (RTO) based on truss-like material model that...
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Sensitivity analysis of queueing models based on polynomial chaos approach
Queueing systems are modeled by equations which depend on a large number of input parameters. In practice, significant uncertainty is associated with...
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Chaos
Chaos is ubiquitous. Chaotic motions are unpredictable. Quantifying chaos is a central issue for understanding chaotic phenomena. Experimental...
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Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties
In this paper, a numerical strategy based on the combination of the kriging approach and the Polynomial Chaos Expansion (PCE) is proposed for the...
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Multifractal Analysis of Local Polynomial Entropies
In this paper, we introduce the Bowen polynomial entropy and study the multifractal spectrum of the local polynomial entropies for arbitrary Borel...
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Uncertainty Quantification of Stochastic Epidemic SIR Models Using B-spline Polynomial Chaos
Real-life epidemic situations are modeled using systems of differential equations (DEs) by considering deterministic parameters. However, in reality,...
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A splitting/polynomial chaos expansion approach for stochastic evolution equations
In this paper, we combine deterministic splitting methods with a polynomial chaos expansion method for solving stochastic parabolic evolution...
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Controlling Chaos in 3D Porous Media in the Presence of Orientation Effect
AbstractThe influence of orientation on the control of chaotic behaviors of the system in a porous medium is studied in this article based on the...
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Small time chaos approximations for heat kernels of multidimensional diffusions
In this article, we consider the problem of obtaining general Hermite type approximations for densities of uniformly elliptic multi-dimensional...
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Dynamics of Predator–Prey Model Based on Fear Effect with Bifurcation Analysis and Chaos Control
Recent studies on terrestrial vertebrates have unveiled a correlation between fear of predators and a reduction in anti-predator defenses, leading to...
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On Chaos Controlling Mechanism for Ishikawa Iteration and Its Traffic Flow Model in Discrete Dynamical Systems
The fact that very small changes cause unpredictable big changes in nature has led to the chaos theory. Many researchers focusing on chaos have...
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Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response
In this study, we examine the plant–herbivore discrete model of apple twig borer and grape vine interaction, with a particular emphasis on the...
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Analytical Formula for the Roots of the General Complex Cubic Polynomial
We present a new method to calculate analytically the roots of the general complex polynomial of degree three. This method is based on the approach...
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Root location for the characteristic polynomial of a Fibonacci type sequence
We analyse the roots of the polynomial x n − px n −1 − qx − 1 for p ≽ q ≽ 1. This is the characteristic polynomial of the recurrence relation F k,p,q ( n ) = pF...
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Understanding Cannibalism Dynamics in Predator–Prey Interactions: Bifurcations and Chaos Control Strategies
The occurrence of cannibalism is common in natural colonies and can substantially affect the functional relationships between predators and prey....
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Sharp uniform-in-time propagation of chaos
We prove the optimal rate of quantitative propagation of chaos, uniformly in time, for interacting diffusions. Our main examples are interactions...