First order homogeneous dynamical systems 2: application to cracked concrete beams

2017 ◽  
Vol 8 (3) ◽  
pp. 205
Author(s):  
Umesh Kumar Pandey ◽  
Gurmail S. Benipal
Keyword(s):  
Dynamical Systems ◽  
Concrete Beams ◽  
Cracked Concrete ◽  
First Order

scholarly journals Family of controllers based on sector non-linear functions: an application for first-order dynamical systems

2020 ◽  
Vol 14 (10) ◽  
pp. 1387-1392
Author(s):  
Marlen Meza-Sánchez ◽  
Maria del Carmen Rodríguez-Liñán ◽  
Eddie Clemente
Keyword(s):  
Dynamical Systems ◽  
Linear Functions ◽  
First Order ◽  
Non Linear

scholarly journals Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators

1997 ◽  
Vol 1 (2) ◽  
pp. 161-167 ◽  
Author(s):  
Gerold Baier ◽  
Sven Sahle
Keyword(s):  
Dynamical Systems ◽  
Finite Number ◽  
Temporal Patterns ◽  
Autocatalytic Reaction ◽  
Living Systems ◽  
First Order ◽  
Autocatalytic Reactions ◽  
Complex Patterns ◽  
Spatio Temporal

We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka–Volterra scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for complex patterns in compartmentalized living systems like cells or tissue, and may be tested experimentally in coupled microreactors.

An Efficient Numerical Simulation for Solving Dynamical Systems With Uncertainty

2017 ◽  
Vol 12 (5) ◽  
Author(s):  
Ali Ahmadian ◽  
Soheil Salahshour ◽  
Chee Seng Chan ◽  
Dumitur Baleanu
Keyword(s):  
Dynamical Systems ◽  
Stability And Convergence ◽  
Uncertain Parameters ◽  
Crucial Issue ◽  
Computational Costs ◽  
First Order ◽  
Wide Range ◽  
Linear And Nonlinear ◽  
The Stability ◽  
Fuzzy Dynamical Systems

In a wide range of real-world physical and dynamical systems, precise defining of the uncertain parameters in their mathematical models is a crucial issue. It is well known that the usage of fuzzy differential equations (FDEs) is a way to exhibit these possibilistic uncertainties. In this research, a fast and accurate type of Runge–Kutta (RK) methods is generalized that are for solving first-order fuzzy dynamical systems. An interesting feature of the structure of this technique is that the data from previous steps are exploited that reduce substantially the computational costs. The major novelty of this research is that we provide the conditions of the stability and convergence of the method in the fuzzy area, which significantly completes the previous findings in the literature. The experimental results demonstrate the robustness of our technique by solving linear and nonlinear uncertain dynamical systems.

scholarly journals Preparation and Electrochemical Characterization of Concrete Containing Microencapsulated Calcium Nitrate Corrosion Inhibitor

2019 ◽  
Vol 271 ◽  
pp. 07009
Author(s):  
Changkyu Kim ◽  
Reece Goldsberry ◽  
Ahmad Ivan Karayan ◽  
Jose Milla ◽  
Marwa Hassan ◽  
...  
Keyword(s):  
Corrosion Inhibitor ◽  
Open Circuit Potential ◽  
Concrete Beams ◽  
Electrochemical Impedance ◽  
Calcium Nitrate ◽  
Passive Layer ◽  
Open Circuit ◽  
Optimum Concentration ◽  
Cracked Concrete

We present the preparation and inhibition behavior of rebar in the presence of calcium nitrate (CN)-containing microcapsules with concentrations of 0.50, 2.00, and 5.00 wt.% in concrete. From both open circuit potential (OCP) and electrochemical impedance spectroscopy spectra, it was found that an addition of microcapsules containing CN corrosion inhibitor into concrete beams successfully repassivated or maintained the passivity of the rebar when the concrete was cracked. This corrosion inhibitor repassivated the rebar by forming a passive layer on the rebar surface under the crack. This repassivation process was evident by an increase of OCP values to more positive values or by stable OCP values at around -100 mV vs SCE. An increase in phase angle after corrosion activation for the sample with 2.00 wt.% microcapsule clearly showed this repassivation process. The optimum concentration for maintaining the passivity on rebar in the cracked concrete was found to be 5.00 wt.%.

Bilinear elastodynamical models of cracked concrete beams

2011 ◽  
Vol 39 (4) ◽  
pp. 465-498 ◽  
Author(s):  
Umesh Kumar Pandey ◽  
Gurmail S. Benipal
Keyword(s):  
Concrete Beams ◽  
Cracked Concrete

scholarly journals Invariant measures for the flow of a first order partial differential equation

1985 ◽  
Vol 5 (3) ◽  
pp. 437-443 ◽  
Author(s):  
R. Rudnicki
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Partial Differential Equations ◽  
Dynamical Systems ◽  
Differential Equations ◽  
Invariant Measures ◽  
Order Partial Differential Equation ◽  
Partial Differential ◽  
First Order

AbstractWe prove that the dynamical systems generated by first order partial differential equations are K-flows and chaotic in the sense of Auslander & Yorke.

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