## Chaotic Dynamics: Theory and PracticeThese 37 papers are from the multidisciplinary NATO Advanced Study Institute on Chaotic Dynamics held in Patras, Greece, in July 1991. Among the diverse topics discussed were complexity, control and data representation; celestial mechanics and cosmology; controlling dynamical systems; semiconductors |

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### Contents

THEORY | 1 |

Asymptotic State Estimation Using Observers in Dynamical | 21 |

Learning Optimal Representations | 33 |

Copyright | |

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algorithm analysis analytic asymptotic surfaces basin of attraction behaviour bifurcation chaos chaotic attractor Chaotic Dynamics coefficients coexistence complex compute convergence coordinates correlation dimension corresponding curves defined density dimensional discrete dynamical systems eigenvalues energy entropy equation evolution example existence experimental exponents fibre laser Figure finite fixed points frequency function GREECE hamiltonian system Henon map homoclinic homoclinic orbit initial conditions integrable invariant iteration Julia set Lett limit cycle linear magnetospheric Math Mathematics method motion noise nonlinear dynamics normal form observed obtained oscillations Pade approximants Painleve Painleve test Patras period doubling periodic orbits perturbation phase space Phys Physics plane Poincare poles preimages problem properties pulse random region scaling signal singularity solar wind solution space plasma spectra spectrum stable stochastic strange attractor structure symbolic sequence symmetry theorem trajectory transformation Turchetti University University of Patras unstable variables zero