The Impact of Chaos on Science and Society (UNU, 1997, 415 pages): 4. The impact of chaos on mathematics

The Impact of Chaos on Science and Society (UNU, 1997, 415 pages)

4. The impact of chaos on mathematics

		(introduction...)
		Abstract
		I. Introduction: A historical view
		II. The Lorenz attractor
		III. The Feigenbaum bifurcation
		IV. Hydrodynamic turbulence
		V. Ergodic theory of differentiable dynamical systems: Axiom A systems
		VI. Ergodic theory of differentiable dynamical systems: General systems
		VII. Quadratic maps of the interval and the Hénon attractor
		VIII. Zeta functions
		IX. Conclusion
		References