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Heterogeneous catalysis --- Oscillating chemical reactions --- Chemistry --- Physical Sciences & Mathematics --- Physical & Theoretical Chemistry --- Chemical oscillations --- Chemical systems, Oscillations in --- Oscillating reactions --- Oscillations, Chemical --- Oscillations (Chemical kinetics) --- Oscillations in chemical reactions --- Oscillations in chemical systems --- Oscillatory reactions --- Reactions, Oscillating --- Reactions, Oscillations in chemical --- Reactions, Oscillatory --- Chemical reactions --- Catalysis
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True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.
Chaotic behavior in systems. --- Nonlinear chemical kinetics. --- Oscillating chemical reactions. --- Chemical oscillations --- Chemical systems, Oscillations in --- Oscillating reactions --- Oscillations, Chemical --- Oscillations (Chemical kinetics) --- Oscillations in chemical reactions --- Oscillations in chemical systems --- Oscillatory reactions --- Reactions, Oscillating --- Reactions, Oscillations in chemical --- Reactions, Oscillatory --- Chemical reactions --- Chemical kinetics --- Nonlinear theories --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- System theory --- Chaotic behavior in systems --- Biological systems
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Chemical structure --- Structure chimique --- Oscillating chemical reactions. --- Chaotic behavior in systems. --- Self-organizing systems. --- Chaotic behavior in systems --- Oscillating chemical reactions --- Self-organizing systems --- Learning systems (Automatic control) --- Self-optimizing systems --- Cybernetics --- Intellect --- Learning ability --- Synergetics --- Chemical oscillations --- Chemical systems, Oscillations in --- Oscillating reactions --- Oscillations, Chemical --- Oscillations (Chemical kinetics) --- Oscillations in chemical reactions --- Oscillations in chemical systems --- Oscillatory reactions --- Reactions, Oscillating --- Reactions, Oscillations in chemical --- Reactions, Oscillatory --- Chemical reactions --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Chemistry, physical and theoretical --- History
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Oscillation chemical reactions --- 544.4 --- Chaotic behavior in systems --- Chemical kinetics --- Oscillating chemical reactions --- Chemical oscillations --- Chemical systems, Oscillations in --- Oscillating reactions --- Oscillations, Chemical --- Oscillations (Chemical kinetics) --- Oscillations in chemical reactions --- Oscillations in chemical systems --- Oscillatory reactions --- Reactions, Oscillating --- Reactions, Oscillations in chemical --- Reactions, Oscillatory --- Chemical reactions --- 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) --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Chemical kinetics. --- Cinétique chimique --- Chaos
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This book addresses the molecular bases of some of the most important biochemical rhythms known at the cellular level. Clarifying the mechanism of these oscillatory phenomena is of key importance for understanding the origin as well as the physiological function of these rhythms, and the conditions in which simple periodic behaviour transforms into complex oscillations including bursting and chaos. It will appeal to graduate students and researchers in a wide variety of fields. On the one hand, it will be of interest to life scientists such as biochemists, cell biologists, medical scientists, pharmacologists and chronobiologists. On the other hand, scientists studying nonlinear phenomena, including oscillations and chaos, in chemistry, physics, mathematics and mathematical biology will also find these ideas of value.
Biological rhythms --- Cell physiology --- Chaotic behavior in systems --- Oscillating chemical reactions --- 57.034 --- 576.32/.36 --- 576.32/.36 Cell physiology. Cell biochemistry. Cell biophysics. Molecular biology of the cell --- Cell physiology. Cell biochemistry. Cell biophysics. Molecular biology of the cell --- 57.034 Cyclic variations, oscillation. Rhythmicity. --- Cyclic variations, oscillation. Rhythmicity. --- Chemical oscillations --- Chemical systems, Oscillations in --- Oscillating reactions --- Oscillations, Chemical --- Oscillations (Chemical kinetics) --- Oscillations in chemical reactions --- Oscillations in chemical systems --- Oscillatory reactions --- Reactions, Oscillating --- Reactions, Oscillations in chemical --- Reactions, Oscillatory --- Chemical reactions --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Cell function --- Cytology --- Physiology --- Biological clocks --- Biology --- Biorhythms --- Endogenous rhythms --- Living clocks --- Rhythms, Biological --- Chronobiology --- Cycles --- Pacemaker cells --- Periodicity --- Molecular biology --- Rythmes biologiques --- Cellules --- Chaos --- Réactions chimiques périodiques --- Physiologie --- Cell Physiology --- Biological rhythms. --- Cell physiology. --- Chaotic behavior in systems. --- Oscillating chemical reactions. --- Réactions chimiques périodiques --- Cyclic variations, oscillation. Rhythmicity --- Biomathematics. Biometry. Biostatistics --- General biochemistry --- Chronobiology phenomena --- Models, theoretical --- Nonlinear dynamics
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