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Image of Chaos: Classical and Quantum. I: Deterministic Chaos
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e-lecturer note

Chaos: Classical and Quantum. I: Deterministic Chaos

Predrag Cvitanovi´ [et al.] - Nama Orang;

Amotion on a strange attractor can be approximated by shadowing long orbits by sequences of nearby shorter periodic orbits. This notion has here been made precise by approximating orbits by prime cycles, and evaluating
associated curvatures. A curvature measures the deviation of a long cycle from its approximation by shorter cycles; the smoothness of the dynamical system implies exponential fall-off for (almost) all curvatures. We propose that the theoretical and experimental non–wandering sets be expressed in terms of the symbol sequences of short cycles (a topological characterization of the spatial layout of the non–wandering set) and their eigenvalues (metric structure)


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Informasi Detail
Judul Seri
Chaos: Classical and Quantum
No. Panggil
-
Penerbit
Copenhagen : Niels Bohr Institute., 2008
Deskripsi Fisik
xv, 635 Hlm.
Bahasa
English
ISBN/ISSN
-
Klasifikasi
-
Tipe Isi
-
Tipe Media
-
Tipe Pembawa
-
Edisi
-
Subjek
MATEMATIKA
Info Detail Spesifik
-
Pernyataan Tanggungjawab
agus
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Lampiran Berkas
  • FRONT MATTER
  • CONTENTS
  • 1 Overture
  • 2 Go with the flow
  • 3 Discrete time dynamics
  • 4 Local stability
  • 5 Cycle stability
  • 6 Get straight
  • 7 Hamiltonian dynamics
  • 8 Billiards
  • 9 World in a mirror
  • 10 Qualitative dynamics, for pedestrians
  • 11 Qualitative dynamics, for cyclists
  • 12 Fixed points, and how to get them
  • 13 Counting
  • 14 Transporting densities
  • 15 Averaging
  • 16 Trace formulas
  • 17 Spectral determinants
  • 18 Cycle expansions
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