The logistic map and the route to chaos: from the beginnings to modern applications

Front Matter....Pages 1-1
Chaotic Growth with the Logistic Model of P.-F. Verhulst....Pages 3-11
Pierre-François Verhulst’s Final Triumph....Pages 13-28
Limits to Success. The Iron Law of Verhulst....Pages 29-51
Recurrent Generation of Verhulst Chaos Maps at Any Order and Their Stabilization Diagram by Anticipative Control....Pages 53-75
Coherence in Complex Networks of Oscillators....Pages 77-97
Growth of Random Sequences....Pages 99-113
Front Matter....Pages 115-115
Logistic Population Growth and Beyond: The Influence of Advection and Nonlocal Effects....Pages 117-129
Predator-Prey Encounters Studied as Relative Particle Diffusion....Pages 131-146
Extinction Dynamics in Lotka-Volterra Ecosystems on Evolving Networks....Pages 147-159
Exact Law of Live Nature....Pages 161-173
Manifestation of Chaos in Real Complex Systems: Case of Parkinson’s Disease....Pages 175-196
Monte Carlo Simulations of Ageing and Speciation....Pages 197-219
Front Matter....Pages 221-221
Influence of Information Flow in the Formation of Economic Cycles....Pages 223-238
Logistic Function in Large Financial Crashes....Pages 239-258
Agent Based Approaches to Income Distributions and the Impact of Memory....Pages 259-272
Front Matter....Pages 273-273
Agglomeration/Aggregation and Chaotic Behaviour in d -Dimensional Spatio-Temporal Matter Rearrangements Number-Theoretic Aspects....Pages 275-294
A Chaos and Fractal Dynamic Approach to the Fracture Mechanics....Pages 295-316
Nonlinear Dynamics and Fractal Avalanches in a Pile of Rice....Pages 317-335
Front Matter....Pages 337-337
A Recent Appreciation of the Singular Dynamics at the Edge of Chaos....Pages 339-354
Quantum Chaos Versus Classical Chaos: Why is Quantum Chaos Weaker?....Pages 355-367
Front Matter....Pages 337-337
On the Prediction of Chaos in the Restricted Three-Body Problem....Pages 369-383
Order and Chaos in Some Hamiltonian Systems of Interest in Plasma Physics....Pages 385-405