Chaos in Nature

This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rössler, van der Pol, Duffing, logistic map, Lozi map, Hénon map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory.
Contents: PrefaceForeword by Otto E RösslerForeword by Robert GilmoreAcknowledgmentsFrom Celestial Mechanics to Chaos:The Laws of DynamicsThe Three-Body ProblemSimplification of the Three-Body ProblemThe Success of Celestial MechanicsBirth of the Global AnalysisThe Stability of the Solar SystemChaos in Nature: Properties and Examples:Periodic and Chaotic OscillatorsFrom Mathematics to Electronic CircuitsFrom Meteorology to Chaos: The Second WaveThe Architecture of Chaotic AttractorsChemical ReactionsPopulation EvolutionChaotic StarsChaos in Biology and BiomedicineEpilogueGeneral IndexAuthor Index
Readership: Advanced undergraduates and graduate students in nonlinear dynamics, and non-experts interested in chaos theory. Chaos;Celestial Mechanics;Electronics;Biomedicine;Astrophysics;Lorenz Attarcator;Rossler Attractor0Key Features:Includes historical aspects of key contributions from Rössler, Appleton, Bethe, Lorenz, etc.Describes original experimental applications (electrodissolution, Belouso–Zhabotinskii reaction, thermionic diode, Lynx population in the Hudson Bay, sunspots numbers, pulsating stars …)All simulations were checked and required information for reproducing them is provided (parameter values, initial conditions, equations)