منابع مشابه
Desynchronization of chaos in coupled logistic maps.
When identical chaotic oscillators interact, a state of complete or partial synchronization may be attained in which the motion is restricted to an invariant manifold of lower dimension than the full phase space. Riddling of the basin of attraction arises when particular orbits embedded in the synchronized chaotic state become transversely unstable while the state remains attracting on the aver...
متن کاملRoute to Chaos in Generalized Logistic Map
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 chara...
متن کاملUniversality In Chaos - The Logistic Map
In this seminar, we are going to look at the period-doubling approach to chaos. It is indeed a remarkable fact that all systems which make a transition from order to disorder by the period-doubling route, irrespective of the exact functional forms that represent these systems, display common properties. It turns out that given certain qualitative constraints on the system considered, thus allow...
متن کاملOn Chaos of the Logistic Maps
This paper is concerned with chaos of a family of logistic maps. It is first proved that a regular and nondegenerate snap-back repeller implies chaos in the sense of both Devaney and Li-Yorke for a map in a metric space. Based on this result, it is shown that the logistic system is chaotic in the sense of both Devaney and Li-Yorke, and has uniformly positive Lyapunov exponents in an invariant s...
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ژورنال
عنوان ژورنال: Pramana
سال: 1997
ISSN: 0304-4289,0973-7111
DOI: 10.1007/bf02845625