The Logistic Map and the Route to Chaos

From the Beginnings to Modern Applications

By: Marcel Ausloos (Editor), Michel Dirickx (Editor)

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Hardcover | 20 December 2005

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436 Pages

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23.5 x 15.88 x 1.91

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Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.

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Chaotic growth with the logistic model of P.-F. Verhulst	p. 3
Pierre-Francois Verhulst's final triumph	p. 13
Limits to success : the iron law of Verhulst	p. 29
Recurrent generation of Verhulst chaos maps at any order and their stabilization diagram by anticipative control	p. 53
Coherence in complex networks of oscillators	p. 77
Growth of random sequences	p. 99
Logistic population growth and beyond : the influence of advection and nonlocal effects	p. 117
Predator-prey encounters studied as relative particle diffusion	p. 131
Extinction dynamics in Lotka-Volterra ecosystems on evolving networks	p. 147
Exact law of live nature	p. 161
Manifestation of chaos in real complex systems : case of Parkinson's disease	p. 175
Monte Carlo simulations of ageing and speciation	p. 197
Influence of information flow in the formation of economic cycles	p. 223
Logistic function in large financial crashes	p. 239
Agent based approaches to income distributions and the impact of memory	p. 259
Agglomeration/aggregation and chaotic behaviour in d-dimensional spatio-temporal matter rearrangements number-theoretic aspects	p. 275
A chaos and fractal dynamic approach to the fracture mechanics	p. 295
Nonlinear dynamics and fractual avalanches in a pile of rice	p. 317
A recent appreciation of the singular dynamics at the edge of chaos	p. 339
Quantum chaos versus classical chaos : why is quantum chaos weaker?	p. 355
On the prediction of chaos in the restricted three-body problem	p. 369
Order and chaos in some Hamiltonian systems of interest in plasma physics	p. 385
Table of Contents provided by Blackwell. All Rights Reserved.

The Logistic Map and the Route to Chaos

From the Beginnings to Modern Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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