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

On a relation of distribution with series in L2 and logarithmic averages in the case of symmetric jump behavior

Distribution theory has an important role in applied mathematics, that generalizes the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives d...

New variants of the Schroder method for finding zeros of nonlinear equations having unknown multiplicity

There are two aims of this paper, firstly, we define new variants of the Schroder method for finding zeros of nonlinear equations having unknown multiplicity and secondly, we introduce a new formula for approximating mul...

Fully Pseudo Stable Systems

In this work, the notion of full pseudo-stability has been introduced and studied, which is a generalization of full stability. We obtain a characterization of full pseudo-stability analogous to that of full stability. C...

Finite Groups Having Exactly 34 Elements of Maximal Order

Let G be a finite group, M(G) denotes the number of elements of maximal order of G. In this note a finite group G with M(G) = 34 is determined.

SOME RESULTS OF GENERALIZED LEFT (θ,θ)-DERIVATIONS ON SEMIPRIME RINGS

Let R be an associative ring with center Z(R) . In this paper , we study the commutativity of semiprime rings under certain conditions , it comes through introduce the definition of generalized left(θ,θ)- derivation as...

Download PDF file
  • EP ID EP651245
  • DOI 10.24297/jam.v5i1.3670
  • Views 218
  • Downloads 0

How To Cite

L M Saha, Rajni Sharma (2013). Complexity Measure in Simple Type Food Chain System. JOURNAL OF ADVANCES IN MATHEMATICS, 5(1), 590-598. https://europub.co.uk/articles/-A-651245