The Logistic Map and the Route to Chaos From The Beginnings to Modern Applications /

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 usef...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Ausloos, Marcel (Επιμελητής έκδοσης), Dirickx, Michel (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
Σειρά:Understanding Complex Systems,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.