Cover Image
close this bookThe Impact of Chaos on Science and Society (UNU, 1997, 415 pages)
View the document(introduction...)
View the documentPreface
close this folder1. Chaotic dynamics
View the document(introduction...)
View the documentAbstract
View the documentI. Introduction
View the documentII. Measuring Chaos
View the documentIII. Routes to chaos
View the documentIV. Chaos in physical systems
View the documentV. Noise and computer round-off errors
View the documentVI. Hamiltonian systems
View the documentVII. Symbolic dynamics
View the documentVIII. Concluding remarks
View the documentReferences
close this folder2. Chaos and politics: applications of nonlinear dynamics to socio-political issues
View the document(introduction...)
View the documentAbstract
View the documentI. Introduction
View the documentII. The evolution of simple models for population dynamics
View the documentIII. Predicting the weather: An intuitive example of chaotic dynamics
View the documentIV. Chaotic dynamics and arms-race models
View the documentV. Future outlook
View the documentVI. Discussion and conclusions: The lessons of nonlinearity
View the documentNotes
View the documentReferences
close this folder3. Is the EEG a strange attractor? Brain stem neuronal discharge patterns and electroencephalographic rhythms
View the document(introduction...)
View the documentI. Introduction
View the documentII. The EEG as a global nonlinear oscillator: Quasiperiodic, (
View the documentIII. The neocortical source of the EEG signal
View the documentIV. Hierarchical noise driving of the hierarchical modes of the EEG by brain stem neurons
View the documentV. Deterministic and random models of hierarchical neuronal discharge patterns
View the documentVI. Stochastic resonance and quasiperiodicity in single neuron-neocortical dynamics
View the documentVII. Single neuron dynamics and the EEG: Two clinical examples
View the documentVIII. Summary
View the documentReferences
close this folder4. The impact of chaos on mathematics
View the document(introduction...)
View the documentAbstract
View the documentI. Introduction: A historical view
View the documentII. The Lorenz attractor
View the documentIII. The Feigenbaum bifurcation
View the documentIV. Hydrodynamic turbulence
View the documentV. Ergodic theory of differentiable dynamical systems: Axiom A systems
View the documentVI. Ergodic theory of differentiable dynamical systems: General systems
View the documentVII. Quadratic maps of the interval and the Hénon attractor
View the documentVIII. Zeta functions
View the documentIX. Conclusion
View the documentReferences
close this folder5. Chaos in neural networks
View the document(introduction...)
View the documentAbstract
View the documentI. Introduction
View the documentII. Chaotic dynamics in nerve membranes
View the documentIII. Chaos in biological neural networks
View the documentIV. Chaos in artificial neural networks
View the documentV. Discussion
View the documentReferences
View the document6. The impact of chaos on physics
close this folder7. Chaos and physics
View the document(introduction...)
View the documentDeterminism versus probabilism
View the documentA class of ubiquitous phenomena
View the documentThe impact of physics on chaos
View the documentThe problem of quantum chaos
View the documentIs there new physics in chaos?
View the documentDoes chaos bring a new fundamental principle into physics?
View the documentAcknowledgements
View the documentNotes
View the documentReferences
close this folder8. Irreversibility and quantum chaos
View the document(introduction...)
View the documentAbstract
View the documentI. Introduction
View the documentII. Quantum suppression of classical chaos
View the documentIII. Recovery of chaos
View the documentIV. Stationary dissipation
View the documentReferences
close this folder9. Impact of high-dimensional chaos: A further step towards dynamical complexity
View the document(introduction...)
View the documentI. From chaos to high-dimensional chaos
View the documentII. From spatio-temporal chaos to turbulence
View the documentIII. High-dimensional chaos as the basis of statistical mechanics
View the documentIV. Network of chaotic elements
View the documentV. Neural information processing with high-dimensional chaos
View the documentVI. Homeochaos in biological networks
View the documentAcknowledgements
View the documentNotes
View the documentReferences
close this folder10. The impact of chaos on biology: Promising directions for research
View the document(introduction...)
View the documentAbstract
View the documentIntroduction
View the documentPersistence and extinction in animal populations
View the documentPeriodicity in chaos
View the documentConclusion
View the documentAcknowledgements
View the documentNotes
View the documentReferences
View the documentAppendix. The difficulties of finding chaos in biological data
close this folder11. Dynamical disease - The impact of nonlinear dynamics and chaos on cardiology and medicine
View the document(introduction...)
View the documentAbstract
View the documentI. Introduction - Chaos and dynamical disease
View the documentII. Chaos in physiological experiments and medicine
View the documentIII. Nonlinear dynamics in cardiology
View the documentIV. Summary and conclusions
View the documentAcknowledgements
View the documentReferences
close this folder12. The impact of chaos on meteorology
View the document(introduction...)
View the documentI. Introduction
View the documentII. Local and global properties
View the documentIII. The middle-latitude jet as a dynamical system
View the documentIV. Conclusions
View the documentReferences
close this folder13. The concept of chaos in the problem of earthquake prediction
View the document(introduction...)
View the documentAbstract
View the documentNonlinear dynamics and earthquake-prone faults
View the documentModelling
View the documentPrediction
View the documentConclusion
View the documentReferences
close this folder14. The impact of chaos on engineering
View the document(introduction...)
View the documentIntroduction
View the documentThe role of geometrical theory in applied mechanics
View the documentTransient failure
View the documentThe influence of chaotic transients
View the documentConclusions
View the documentAcknowledgements
View the documentReferences
close this folder15. The impact of chaos on economic theory
View the document(introduction...)
View the documentI. Introduction
View the documentII. Impediments to chaos in economics
View the documentIII. Empirical investigations
View the documentIV. Theoretical investigations
View the documentV. Conclusions
View the documentReferences
close this folder16. Chaos in society: Reflections on the impact of chaos theory on sociology
View the document(introduction...)
View the documentI
View the documentII
View the documentIII
View the documentIV
View the documentV
View the documentNotes
View the documentReferences
close this folder17. Strange attractors and the origin of chaos
View the document(introduction...)
View the documentI. Prologue
View the documentII. The oldest chaos in a non-autonomous system - A shattered egg
View the documentIII. Encounter with the Japanese attractor
View the documentIV. The Hayashi Laboratory at the time of the ''McGraw-Hill Book''
View the documentV. From the harmonic balance method to the mapping method
View the documentVI. The true value of an advisor: A scion of chaos
View the documentVII. The end of the Chihiro Hayashi Laboratory
View the documentVIII. The original data that were preserved
View the documentIX. Epilogue
View the documentAcknowledgements
View the documentReferences
View the documentPanel discussion: The impact of chaos on science and society
View the documentOpening address
View the documentContributors
View the documentOther titles of interest

(introduction...)

David Ruelle