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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 mathema… Altro …

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2005, ISBN: 3540283668

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[EAN: 9783540283669], New book, [PU: Springer], pp. xx + 413 1st Edition, Books

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The Logistic Map and the Route to Chaos: From the Beginnings to Modern Applications (Understanding Complex Systems)

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. TOC:Chaotic Growth With The Logistic Model of P.F.Verhulst.- Pierre-Francoiss Verhultst`s Final Triumph.- Limits to Sucess. The Iron Law of Verhulst.- Recurrent Generation of Verhulst Chaos Maps .- Coherence in Complex Networks of Oscillators. Agglomeraton /Aggregation and Chaotic Behaviour.- Logistic Population Growth and Beyond.- Extinction Dynamics in Lotka-Volterra Ecosystems on Evolving Networks.- A Chaos and Fractal Dynamic Approach to Fracture Mechanics.- Singular Dynamics at The Edge of Chaos.- Exact Law of Live Nature.- Manifestation of Chaos in Real Complex Systems: Case of Parkinson`s Disease.- Monte Carlo Simulatons of Ageing and Speciation.- Influence of Information Flow in the Formation of Economic Cycles.- Logistic Function in Large Financial Crashes.- Growth of Random Sequences.- Quantum Chaos Versus Classical Chaos.- Using Riemannian Geometry for Prediction Chaos in Restricted Three-Body Problem.- Order and Chaos in Some Hamiltonian Systems of Interest in Plasma Physics.- Non-Linear Dynamics and Fractal Avalanches in Pile of Rice.- Agent Based Approaches to Income Distributions and the Impact of Memory.

Informazioni dettagliate del libro - The Logistic Map and the Route to Chaos: From the Beginnings to Modern Applications (Understanding Complex Systems)


EAN (ISBN-13): 9783540283669
ISBN (ISBN-10): 3540283668
Copertina rigida
Anno di pubblicazione: 2006
Editore: Ausloos, Marcel, Dirickx, Michel, Springer

Libro nella banca dati dal 2007-05-31T15:13:50+02:00 (Rome)
Pagina di dettaglio ultima modifica in 2023-11-27T11:52:15+01:00 (Rome)
ISBN/EAN: 9783540283669

ISBN - Stili di scrittura alternativi:
3-540-28366-8, 978-3-540-28366-9
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : dirickx, diri, marcel, michel, ausloos, verhulst
Titolo del libro: logistics, route, chaos, some more beginnings, off the map, cha


Dati dell'editore

Autore: Marcel Ausloos; Michel Dirickx
Titolo: Understanding Complex Systems; The Logistic Map and the Route to Chaos - From the Beginnings to Modern Applications
Editore: Springer; Springer Berlin
413 Pagine
Anno di pubblicazione: 2005-12-20
Berlin; Heidelberg; DE
Stampato / Fatto in
Peso: 0,816 kg
Lingua: Inglese
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XX, 413 p.

BB; Complex Systems; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Kybernetik und Systemtheorie; Verstehen; Springer complexity; Verhulst; complex system; complex systems; logistic map; nonlinear dynamics; population dynamics; quantum chaos; Applications of Mathematics; Statistical Physics and Dynamical Systems; Complex Systems; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Angewandte Mathematik; Mathematische Physik; BC; EA

General and Historical Introduction.- Chaotic Growth with the Logistic Model of P.-F. Verhulst.- Pierre-François Verhulst’s Final Triumph.- Limits to Success. The Iron Law of Verhulst.- Recurrent Generation of Verhulst Chaos Maps at Any Order and Their Stabilization Diagram by Anticipative Control.- Coherence in Complex Networks of Oscillators.- Growth of Random Sequences.- Life Relevant Physics.- Logistic Population Growth and Beyond: The Influence of Advection and Nonlocal Effects.- Predator-Prey Encounters Studied as Relative Particle Diffusion.- Extinction Dynamics in Lotka-Volterra Ecosystems on Evolving Networks.- Exact Law of Live Nature.- Manifestation of Chaos in Real Complex Systems: Case of Parkinson’s Disease.- Monte Carlo Simulations of Ageing and Speciation.- Econophysics.- Influence of Information Flow in the Formation of Economic Cycles.- Logistic Function in Large Financial Crashes.- Agent Based Approaches to Income Distributions and the Impact of Memory.- Condensed Matter.- Agglomeration/Aggregation and Chaotic Behaviour in d-Dimensional Spatio-Temporal Matter Rearrangements Number-Theoretic Aspects.- A Chaos and Fractal Dynamic Approach to the Fracture Mechanics.- Nonlinear Dynamics and Fractal Avalanches in a Pile of Rice.- Miscellaneous.- A Recent Appreciation of the Singular Dynamics at the Edge of Chaos.- Quantum Chaos Versus Classical Chaos: Why is Quantum Chaos Weaker?.- On the Prediction of Chaos in the Restricted Three-Body Problem.- Order and Chaos in Some Hamiltonian Systems of Interest in Plasma Physics.
This title is included in the Springer Complexity program;

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