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This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.

Chaotic behavior in systems. --- Differentiable dynamical systems. --- Nonlinear theories.

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In a chemical system with many chemical species several questions can be asked: what species react with other species: in what temporal order: and with what results? These questions have been asked for over one hundred years about simple and complex chemical systems, and the answers constitute the macroscopic reaction mechanism. In Determination of Complex Reaction Mechanisms authors John Ross, Igor Schreiber, and Marcel Vlad present several systematic approaches for obtaining information on the causal connectivity of chemical species, on correlations of chemical species, on the reaction pathway, and on the reaction mechanism.

Chemical kinetics. --- Reaction mechanisms (Chemistry) --- Chemical reaction, Conditions and laws of. --- Conditions and laws of chemical reaction --- Reaction, Conditions and laws of (Chemistry) --- Chemistry, Physical and theoretical --- Physical laws --- Inorganic reaction mechanisms --- Mechanisms, Inorganic reaction --- Mechanisms, Reaction (Chemistry) --- Reaction mechanisms, Inorganic --- Chemical reaction, Conditions and laws of --- Chemical reaction, Kinetics of --- Chemical reaction, Rate of --- Chemical reaction, Velocity of --- Chemical reaction rate --- Chemical reaction velocity --- Kinetics, Chemical --- Rate of chemical reaction --- Reaction rate (Chemistry) --- Velocity of chemical reaction --- Chemical affinity --- Reactivity (Chemistry) --- Reaction mechanisms (Chemistry).