@article{51431,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Commun. in Alg.}},
  pages        = {{433--444}},
  title        = {{{Orthogonal Lie Algrebras with Cone Potential}}},
  volume       = {{24}},
  year         = {{1996}},
}

@article{51428,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{J. Funct. Anal.}},
  pages        = {{446--493}},
  title        = {{{Spherical Functions on Olshanskii Spaces}}},
  volume       = {{142}},
  year         = {{1996}},
}

@misc{51597,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Zentralblatt für Math.}},
  title        = {{{Knapp, A.W. Lie Groups Beyond an Introduction  (Birkhäuser, Boston, 1996)}}},
  year         = {{1996}},
}

@article{44544,
  author       = {{Burban, Igor}},
  journal      = {{U sviti Mathematyky}},
  number       = {{2}},
  title        = {{{Euler’s theorem and map color problems}}},
  volume       = {{2}},
  year         = {{1996}},
}

@article{44543,
  author       = {{Burban, Igor}},
  journal      = {{U sviti Mathematyky}},
  number       = {{4}},
  title        = {{{Solutions of equations in integers}}},
  volume       = {{2}},
  year         = {{1996}},
}

@article{64730,
  author       = {{Glöckner, Helge}},
  issn         = {{0949-5932}},
  journal      = {{Journal of Lie Theory}},
  keywords     = {{22E35, 22E50, 28C10}},
  number       = {{2}},
  pages        = {{165–177}},
  title        = {{{Haar measure on linear groups over local skew fields}}},
  volume       = {{6}},
  year         = {{1996}},
}

@article{16510,
  abstract     = {{<jats:p> In an array of coupled oscillators, synchronous chaos may occur in the sense that all the oscillators behave identically although the corresponding motion is chaotic. When a parameter is varied this fully symmetric dynamical state can lose its stability, and the main purpose of this paper is to investigate which type of dynamical behavior is expected to be observed once the loss of stability has occurred. The essential tool is a classification of Lyapunov exponents based on the symmetry of the underlying problem. This classification is crucial in the derivation of the analytical results but it also allows an efficient computation of the dominant Lyapunov exponent associated with each symmetry type. We show how these dominant exponents determine the stability of invariant sets possessing various instantaneous symmetries, and this leads to the idea of symmetry breaking bifurcations of chaotic attractors. Finally, the results and ideas are illustrated for several systems of coupled oscillators. </jats:p>}},
  author       = {{Aston, Philip J. and Dellnitz, Michael}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{1643--1676}},
  title        = {{{Symmetry Breaking Bifurcations of Chaotic Attractors}}},
  doi          = {{10.1142/s021812749500123x}},
  year         = {{1995}},
}

@article{16532,
  author       = {{Dellnitz, M and Heinrich, C}},
  issn         = {{0951-7715}},
  journal      = {{Nonlinearity}},
  pages        = {{1039--1066}},
  title        = {{{Admissible symmetry increasing bifurcations}}},
  doi          = {{10.1088/0951-7715/8/6/009}},
  year         = {{1995}},
}

@article{16542,
  author       = {{Dellnitz, M and Melbourne, I}},
  issn         = {{0951-7715}},
  journal      = {{Nonlinearity}},
  pages        = {{1067--1075}},
  title        = {{{A note on the shadowing lemma and symmetric periodic points}}},
  doi          = {{10.1088/0951-7715/8/6/010}},
  year         = {{1995}},
}

@article{16550,
  author       = {{Dellnitz, Michael and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{1243--1247}},
  title        = {{{Cycling Chaos}}},
  doi          = {{10.1142/s0218127495000909}},
  year         = {{1995}},
}

@article{16551,
  abstract     = {{<jats:p> Spiral patterns have been observed experimentally, numerically, and theoretically in a variety of systems. It is often believed that these spiral wave patterns can occur only in systems of reaction–diffusion equations. We show, both theoretically (using Hopf bifurcation techniques) and numerically (using both direct simulation and continuation of rotating waves) that spiral wave patterns can appear in a single reaction–diffusion equation [ in u(x, t)] on a disk, if one assumes "spiral" boundary conditions (u<jats:sub>r</jats:sub> = mu<jats:sub>θ</jats:sub>). Spiral boundary conditions are motivated by assuming that a solution is infinitesimally an Archimedian spiral near the boundary. It follows from a bifurcation analysis that for this form of spirals there are no singularities in the spiral pattern (technically there is no spiral tip) and that at bifurcation there is a steep gradient between the "red" and "blue" arms of the spiral. </jats:p>}},
  author       = {{Dellnitz, Michael and Golubitsky, Martin and Hohmann, Andreas and Stewart, Ian}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{1487--1501}},
  title        = {{{Spirals in Scalar Reaction–Diffusion Equations}}},
  doi          = {{10.1142/s0218127495001149}},
  year         = {{1995}},
}

@inbook{16611,
  author       = {{Golubitsky, Martin and Marsden, Jerrold and Stewart, Ian and Dellnitz, Michael}},
  booktitle    = {{Normal Forms and Homoclinic Chaos}},
  isbn         = {{9780821803264}},
  title        = {{{The constrained Liapunov-Schmidt procedure and periodic orbits}}},
  doi          = {{10.1090/fic/004/05}},
  year         = {{1995}},
}

@inbook{51479,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Semigroups in Algebra, Geometry and Analysis}},
  editor       = {{Hofmann, K.H. and Lawson, J.D. and Vinberg, E.B.}},
  publisher    = {{De Gruyter}},
  title        = {{{The Halfspace Method for Causal Structures on Homogeneous Manifolds}}},
  year         = {{1995}},
}

@misc{51583,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{JBer. DMV}},
  title        = {{{Woodhouse, N.M.J. Geometric Quantization (Clarendon Press, 1992)}}},
  volume       = {{97}},
  year         = {{1995}},
}

@book{51595,
  editor       = {{Hilgert, Joachim and Doebner, H.-D. and Dobrev, V. K.}},
  publisher    = {{World Scientific}},
  title        = {{{Lie Theory and its Applcations in Physics}}},
  year         = {{1995}},
}

@inbook{51478,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  booktitle    = {{Semigroups in Algebra, Geometry and Analysis}},
  editor       = {{Hofmann, K.H. and Lawson, J.D. and Vinberg, E.B.}},
  publisher    = {{De Gruyter}},
  title        = {{{Symplectic Convexity Theorems, Lie Semigroups, and Unitary Representations}}},
  year         = {{1995}},
}

@article{51436,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Monatshefte Math.}},
  pages        = {{187--214}},
  title        = {{{Compression Semigroups of Open Orbits on Real Flag Manifolds}}},
  volume       = {{119}},
  year         = {{1995}},
}

@article{51432,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Arkiv för mat.}},
  pages        = {{293--322}},
  title        = {{{Compression Semigroups of Open Orbits in Complex Manifolds}}},
  volume       = {{33}},
  year         = {{1995}},
}

@article{51435,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Japan. J. Math.}},
  pages        = {{117--188}},
  title        = {{{Groupoid C*-Algebras of Order Compactified Symmetric Spaces}}},
  volume       = {{21}},
  year         = {{1995}},
}

@article{51433,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{J. Funct. Anal.}},
  pages        = {{86--118}},
  title        = {{{Wiener-Hopf Operators on Ordered Homogeneous Spaces}}},
  volume       = {{132}},
  year         = {{1995}},
}