Route to Chaos in Generalized Logistic Map

• Authors: R. Rak , E. Rak
• Languages of publication: EN

Abstracts

EN

We postulate a generalization of well-known logistic map to open the possibility of optimization the modelling process of the population evolution. For proposed generalized equation we illustrate the character of the transition from regularity to chaos for the whole spectrum of model parameters. As an example we consider specific cases for both periodic and chaotic regime. We focus on the character of the corresponding bifurcation sequence and on the quantitative nature of the resulting attractor as well as its universal attribute (Feigenbaum constant).

Keywords

EN

05.45.-a; 05.45.Pq; 05.45.Gg

Discipline

• 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)
• 05.45.Gg: Control of chaos, applications of chaos
• 05.45.Pq: Numerical simulations of chaotic systems

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 3A
• Pages: A-113-A-117

Dates

published

2015-03

Contributors

author

R. Rak

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, PL-35959 Rzeszów, Poland

author

E. Rak

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, PL-35959 Rzeszów, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.127.A-113