scholarly journals Numerical analysis of a first-order in time implicit-symplectic scheme for predator–prey systems

2017 ◽  
Vol 74 (5) ◽  
pp. 948-961 ◽  
Author(s):  
Fasma Diele ◽  
Marcus Garvie ◽  
Catalin Trenchea
Keyword(s):  
Numerical Analysis ◽  
Predator Prey ◽  
First Order ◽  
Symplectic Scheme

scholarly journals Damage Identification of Plate Structure Based on the Method of Modal Flexibility Curvature Difference

2019 ◽  
Vol 256 ◽  
pp. 02015
Author(s):  
Jiangang Zhao ◽  
Yuxiang Zhang ◽  
Jiazhao Chen
Keyword(s):  
Numerical Analysis ◽  
Lower Order ◽  
Damage Identification ◽  
Higher Order ◽  
Plate Structure ◽  
First Order ◽  
Flexibility Matrix ◽  
Damage Degree ◽  
Higher Order Modes ◽  
Modal Flexibility

According to the higher order modes of the structure are difficult to extract and the lower order are easy to obtain in practice, it is put forward that only uses the parameters of lower or first-order modal to constitute the modal flexibility curvature difference (MFCD) as the index of damage identification, which based on the flexibility matrix of structure being sensitive to the structure modal characteristics. Numerical analysis is made on different damage conditions of a plate structure, and the result shows that the MFCD can not only accurately identify the single-damage and multi-damage position of plate structure, but also reflect the size of damage degree. It has a great significance to apply the index into the range of damage identification of actual structures.

HYPERCHAOS IN A MODIFIED CANONICAL CHUA'S CIRCUIT

2004 ◽  
Vol 14 (01) ◽  
pp. 221-243 ◽  
Author(s):  
K. THAMILMARAN ◽  
M. LAKSHMANAN ◽  
A. VENKATESAN
Keyword(s):  
Numerical Analysis ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Laboratory Experiments ◽  
System Parameter ◽  
Piecewise Linear ◽  
Electrical Circuit ◽  
First Order ◽  
Regular Behavior ◽  
Linear Elements

In this paper, we present the hyperchaos dynamics of a modified canonical Chua's electrical circuit. This circuit, which is capable of realizing the behavior of every member of the Chua's family, consists of just five linear elements (resistors, inductors and capacitors), a negative conductor and a piecewise linear resistor. The route followed is a transition from regular behavior to chaos and then to hyperchaos through border-collision bifurcation, as the system parameter is varied. The hyperchaos dynamics, characterized by two positive Lyapunov exponents, is described by a set of four coupled first-order ordinary differential equations. This has been investigated extensively using laboratory experiments, Pspice simulation and numerical analysis.

scholarly journals Mathematical and numerical analysis for Predator-prey system in a polluted environment

2010 ◽  
Vol 5 (4) ◽  
pp. 813-847 ◽  
Author(s):  
Verónica Anaya ◽  
◽  
Mostafa Bendahmane ◽  
Mauricio Sepúlveda ◽  
◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Polluted Environment ◽  
Predator Prey ◽  
Prey System

The Dynamic Characteristics Analysis of Liaocheng Guangyue Tower

2015 ◽  
Vol 744-746 ◽  
pp. 920-923
Author(s):  
Zhao Bo Meng ◽  
Yu Cao ◽  
Jie Jin
Keyword(s):  
Numerical Analysis ◽  
Dynamic Characteristics ◽  
Natural Vibration ◽  
Damping Ratio ◽  
Analysis Method ◽  
Vibration Period ◽  
Incentive Effect ◽  
First Order ◽  
Characteristics Analysis ◽  
Dynamic Characteristics Analysis

Taking Liaocheng Guangyue tower as an example, based on the on-site measurements, to determine its dynamic characteristics and provide a basis by numerical analysis method for determining traffic incentive effect on the ancient timber buildings. From the research, we can conclude that the first-order self-vibration frequency of Guangyue tower can be taken as 1.638Hz, the corresponding natural vibration period is 0.61s,the damping ratio is 1.098.

Stability of a Beddington–DeAngelis type predator–prey model with trichotomous noises

2016 ◽  
Vol 30 (17) ◽  
pp. 1650102 ◽  
Author(s):  
Yanfei Jin ◽  
Siyong Niu
Keyword(s):  
Correlation Time ◽  
Gaussian White Noise ◽  
Second Order ◽  
Predator Prey ◽  
First Order ◽  
Predator Prey Model ◽  
Order Solution ◽  
Prey Model ◽  
The Stability ◽  
The Moment

The stability analysis of a Beddington–DeAngelis (B–D) type predator–prey model driven by symmetric trichotomous noises is presented in this paper. Using the Shapiro–Loginov formula, the first-order and second-order solution moments of the system are obtained. The moment stability conditions of the B–D predator–prey model are given by using Routh–Hurwitz criterion. It is found that the stabilities of the first-order and second-order solution moments depend on the noise intensities and correlation time of noise. The first-order and second-order moments are stable when the correlation time of noise is increased. That is, the trichotomous noise plays a constructive role in stabilizing the solution moment with regard to Gaussian white noise. Finally, some numerical results are performed to support the theoretical analyses.

scholarly journals First-Order Numerical Analysis of Linear Thin Layers

2006 ◽  
Vol 74 (4) ◽  
pp. 824-828 ◽  
Author(s):  
F. Lebon ◽  
S. Ronel
Keyword(s):  
Numerical Analysis ◽  
Numerical Data ◽  
Thin Layers ◽  
First Order ◽  
Concentrated Forces ◽  
Theoretical Results

This paper deals with the first-order numerical analysis of thin layers. Theoretical results are recalled and compared with numerical data obtained on two classical examples. The effects of concentrated forces are discussed.

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