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The logistic map and the route to chaos. From the beginnings to modern applications. (English) Zbl 1085.37001

Understanding Complex Systems. Berlin: Springer (ISBN 3-540-28366-8/hbk). xx, 411 p. (2006).

Show indexed articles as search result.

The articles of this volume will be reviewed individually.
Indexed articles:
Pastijn, Hugo, Chaotic growth with the logistic model of P.-F. Verhulst, 3-11 [Zbl 1102.01017]
Klint, Jos; Constales, Denis; Vanderbauwhede, André, Pierre-François Verhulst’s final triumph, 13-28 [Zbl 1103.01011]
Kunsch, P. L., Limits to success. The iron law of Verhulst, 29-51 [Zbl 1207.37020]
Dubois, Daniel M., Recurrent generation of Verhulst chaos maps at any order and their stabilization diagram by anticipative control, 53-75 [Zbl 1207.37019]
Lind, Pedro G.; Gallas, Jason A. C.; Herrmann, Hans J., Coherence in complex networks of oscillators, 77-97 [Zbl 1284.82046]
Austin, K.; Rodgers, G. J., Growth of random sequences, 99-113 [Zbl 1284.82032]
Hernández-García, Emilio; López, Cristóbal, Logistic population growth and beyond: the influence of advection and nonlocal effects, 117-129 [Zbl 1091.92049]
Mann, J.; Ott, S.; Pécseli, H. L.; Trulsen, J., Predator-prey encounters studied as relative particle diffusion, 131-146 [Zbl 1284.76183]
Lipowski, Adam; Droz, Michel, Extinction dynamics in Lotka-Volterra ecosystems on evolving networks, 147-159 [Zbl 1091.92051]
Azbel’, Mark Ya., Exact law of live nature, 161-173 [Zbl 1091.92042]
Yulmetyev, Renat M.; Demin, Sergey A.; Hänggi, Peter, Manifestation of chaos in real complex systems: case of Parkinson’s disease, 175-196 [Zbl 1091.92040]
Moss de Oliveira, Suzana; Stauffer, Dietrich, Monte Carlo simulations of ageing and speciation, 197-219 [Zbl 1091.92043]
Miśkiewicz, J.; Ausloos, M., Influence of information flow in the formation of economic cycles, 223-238 [Zbl 1183.91090]
Rotundo, G., Logistic function in large financial crashes, 239-258 [Zbl 1183.91190]
Repetowicz, Przemysław; Richmond, Pter; Hutzler, Stefan; Ni Dhuinn, Eimear, Agent based approaches to income distributions and the impact of memory, 259-272 [Zbl 1183.91122]
Gadomski, Adam; Ausloos, Marcel, Agglomeration/aggregation and chaotic behaviour in \(d\)-dimensional spatio-temporal matter rearrangements number-theoretic aspects, 275-294 [Zbl 1284.82034]
Alves, Lucas Máximo; Lobo, Rui F. M., A chaos and fractal dynamic approach to the fracture mechanics, 295-316 [Zbl 1151.37328]
Wijngaarden, Rinke J.; Lőrincz, Kinga A.; Aegerter, Christof M., Nonlinear dynamics and fractal avalanches in a pile of rice, 317-335 [Zbl 1284.82008]
Mayoral, E.; Robledo, A., A recent appreciation of the singular dynamics at the edge of chaos, 339-354 [Zbl 1151.37312]
Kröger, H.; Laprise, J.-F.; Melkonyan, G.; Zomorrodi, R., Quantum chaos versus classical chaos: why is quantum chaos weaker?, 355-367 [Zbl 1096.81009]
Safaai, Houman; Saadat, Mohammad Hasan Ghaffari, On the prediction of chaos in the restricted three-body problem, 369-383 [Zbl 1207.37022]
Constantinescu, D.; Weyssow, B., Order and chaos in some Hamiltonian systems of interest in plasma physics, 385-405 [Zbl 1207.37028]

MSC:

37-06 Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory
00B15 Collections of articles of miscellaneous specific interest
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37Nxx Applications of dynamical systems
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