Complexity Measure in Simple Type Food Chain System
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 5, Issue 1
Abstract
Study of complexities arising during evolution of a food chain system has been investigated. Regular and chaotic motions have been observed for certain sets of values of a parameter of the system. For some detailed further study, the continuous model of food chain has been transformed into discrete model by using Euler's method. Various measurable quantities for emergence of chaos, like Lyapunov exponents, topological entropies, correlation dimensions, have been numerically calculated and represented through plots. Finally, the chaos indicator, named Dynamic Lyapunov Indicator (DLI), has been used to identify clearly chaotic and regular motion.
Authors and Affiliations
L M Saha, Rajni Sharma
Keywords
Related Articles
- EP ID EP651245
- DOI 10.24297/jam.v5i1.3670
- Views 208
- Downloads 0
MODELLING NIGERIA POPULATION GROWTH RATE
Thomas Robert Malthus Theory of population highlighted the potential dangers of over population. He stated that while the populations of the world wouldincrease in geometric proportions, the food resources available for...
Comparison of Type I Error of some Non-Parametric Tests on Multiple Regression Models Coefficients
Various non-parametric methods have been used to perform hypothesis test on multiple regression coefficients. In this article, at first the most important methods which has been introduced from other statisticians as pro...
The Real Matrices forms of the Bicomplex Numbers and Homothetic Exponential motions
In this paper, a bicomplex number is described in four- dimensional space and its a variety of algebraic properties is presented. In addition, Pauli-spin matrix elements corresponding to base the real matrices forms of t...
Transient behavior of / /1 [ ] M G X Queueing Model With State Dependent Arrival, Balking and Bernoulli Vacation
This paper analyzes single server queueing system wherein the arrival units are in batches following compound Poisson process with varying arrival rates for different states. The arrival rates differ for different s...
Role of Conservation Laws in the Development of Nonequilibrium and Emergence of Turbulence
It turns out that the equations of mathematical physics, which consist equations of the conservation laws for energy, linear momentum, angular momentum, and mass, possess additional, hidden, properties that enables one t...