The Structure of Attractors in Dynamical Systems

Proceedings, North Dakota State University, June 20-24, 1977
Herausgegeben:Markley, N. G.; Martin, J. C.; Perrizo, W.

• Broschiertes Buch

Produktbeschreibung

Finitistic coding for shifts of finite type.- Periodic points and lefschetz numbers.- Entropy and the fundamental group.- Isolated invariant sets of parameterized systems of differential equations.- A transition from hopf bifurcation to chaos: Computer experiments with maps on R2.- Transverse heteroclinic orbits in the Anisotropic Kepler Problem.- A note on a distallity theorem of C.C. Moore.- Chain transitivity and the domain of influence of an invariant set.- Cohomology of flows.- The structure of smale diffeomorphisms.- The finite multipliers of infinite ergodic transformations.- Applications of ergodic theory to geometry.- On expansive homeomorphisms of the infinite torus.- Shape theory and dynamical systems.- On a theorem of sell.- Lifting in non-abelian (G,?)-extensions.- Recipe minimal sets.- Large sets of endomorphisms and of g-measures.- A linearization process for flows.- to the Closing Lemma.- On the pseudo orbit tracing property and its relationship to stability.- A reformulation of Coleman's conjecture concerning the local conjugacy of topologically hyperbolic singular points.- Ergodic actions and stochastic processes on groups and homogeneous spaces.

Produktdetails

• Lecture Notes in Mathematics 668
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08925-4
• 1978.
• Seitenzahl: 276
• Erscheinungstermin: 1. August 1978
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 448g
• ISBN-13: 9783540089254
• ISBN-10: 354008925X
• Artikelnr.: 23568121

Inhaltsangabe

Finitistic coding for shifts of finite type.- Periodic points and lefschetz numbers.- Entropy and the fundamental group.- Isolated invariant sets of parameterized systems of differential equations.- A transition from hopf bifurcation to chaos: Computer experiments with maps on R2.- Transverse heteroclinic orbits in the Anisotropic Kepler Problem.- A note on a distallity theorem of C.C. Moore.- Chain transitivity and the domain of influence of an invariant set.- Cohomology of flows.- The structure of smale diffeomorphisms.- The finite multipliers of infinite ergodic transformations.- Applications of ergodic theory to geometry.- On expansive homeomorphisms of the infinite torus.- Shape theory and dynamical systems.- On a theorem of sell.- Lifting in non-abelian (G,?)-extensions.- Recipe minimal sets.- Large sets of endomorphisms and of g-measures.- A linearization process for flows.- to the Closing Lemma.- On the pseudo orbit tracing property and its relationship to stability.- A reformulation of Coleman's conjecture concerning the local conjugacy of topologically hyperbolic singular points.- Ergodic actions and stochastic processes on groups and homogeneous spaces.