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Chaos Near Resonance - G. Haller
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G. Haller:

Chaos Near Resonance - hardcover

1999, ISBN: 0387986979

[EAN: 9780387986975], Neubuch, [SC: 18.38], [PU: Springer New York], CHAOS (WISSENSCHAFTLICH); CHAOSFORSCHUNG; CHAOSTHEORIE; DYNAMISCHES SYSTEM; MATHEMATIK / PHYSIK, CHEMIE; APPROXIMATION… More...

NEW BOOK. Shipping costs: EUR 18.38 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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G. Haller:

Chaos Near Resonance - hardcover

1999, ISBN: 0387986979

[EAN: 9780387986975], Neubuch, [SC: 35.61], [PU: Springer New York], CHAOS (WISSENSCHAFTLICH); CHAOSFORSCHUNG; CHAOSTHEORIE; DYNAMISCHES SYSTEM; MATHEMATIK / PHYSIK, CHEMIE; APPROXIMATION… More...

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Chaos Near Resonance - G. Haller
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G. Haller:
Chaos Near Resonance - hardcover

1999

ISBN: 0387986979

[EAN: 9780387986975], Neubuch, [SC: 17.95], [PU: Springer New York], CHAOS (WISSENSCHAFTLICH); CHAOSFORSCHUNG; CHAOSTHEORIE; DYNAMISCHES SYSTEM; MATHEMATIK / PHYSIK, CHEMIE; APPROXIMATION… More...

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Chaos Near Resonance - G. Haller
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G. Haller:
Chaos Near Resonance - hardcover

1999, ISBN: 0387986979

[EAN: 9780387986975], Nieuw boek, [SC: 14.19], [PU: Springer New York], CHAOS (WISSENSCHAFTLICH); CHAOSFORSCHUNG; CHAOSTHEORIE; DYNAMISCHES SYSTEM; MATHEMATIK / PHYSIK, CHEMIE; APPROXIMAT… More...

NEW BOOK. Shipping costs: EUR 14.19 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Beoordeling: 5 (van 5)]
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Chaos Near Resonance - Haller, G.
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Haller, G.:
Chaos Near Resonance - hardcover

1999, ISBN: 0387986979

1999 Gebundene Ausgabe Chaos (wissenschaftlich), Chaosforschung, Chaostheorie, Dynamisches System, Mathematik / Physik, Chemie, Angewandte Mathematik, Mathematische Physik, approximatio… More...

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Chaos Near Resonance by G. Haller Hardcover | Indigo Chapters

A unified treatment of resonant problems with special emphasis on the recently discovered phenomenon of homoclinic jumping. After a survey of the necessary background, the book develops a general finite dimensional theory of homoclinic jumping, illustrating it with examples. The main mechanism of chaos near resonances is discussed in both the dissipative and the Hamiltonian context, incorporating previously unpublished new results on universal homoclinic bifurcations near resonances, as well as on multi-pulse Silnikov manifolds. The results are applied to a variety of different problems, which include applications from beam oscillations, surface wave dynamics, nonlinear optics, atmospheric science and fluid mechanics.

Details of the book - Chaos Near Resonance by G. Haller Hardcover | Indigo Chapters


EAN (ISBN-13): 9780387986975
ISBN (ISBN-10): 0387986979
Hardcover
Paperback
Publishing year: 1999
Publisher: G. Haller
452 Pages
Weight: 0,859 kg
Language: Englisch

Book in our database since 2007-10-13T13:59:15-04:00 (New York)
Detail page last modified on 2024-03-28T21:48:40-04:00 (New York)
ISBN/EAN: 0387986979

ISBN - alternate spelling:
0-387-98697-9, 978-0-387-98697-5
Alternate spelling and related search-keywords:
Book author: györgy, hal haller, schrödinger
Book title: taschenbuch, mathematical, near, resonance, chaos the science, sensible chaos, résonance, haller buch


Information from Publisher

Author: G. Haller
Title: Applied Mathematical Sciences; Chaos Near Resonance
Publisher: Springer; Springer US
430 Pages
Publishing year: 1999-09-24
New York; NY; US
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XVI, 430 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Kybernetik und Systemtheorie; Verstehen; Approximation; Exchange; Hilbert space; behavior; boundary element method; calculus; dynamical systems; equation; evolution; functions; integrable system; integral; interaction; mechanics; stability; Dynamical Systems; Complex Systems; Applications of Mathematics; Theoretical, Mathematical and Computational Physics; Angewandte Mathematik; Mathematische Physik; BC

1 Concepts From Dynamical Systems.- 1.1 Flows, Maps, and Dynamical Systems.- 1.2 Ordinary Differential Equations as Dynamical Systems.- 1.3 Liouville’s Theorem.- 1.4 Structural Stability and Bifurcation.- 1.5 Hamiltonian Systems.- 1.6 Poincaré—Cartan Integral Invariant.- 1.7 Generating Functions.- 1.8 Infinite-Dimensional Hamiltonian Systems.- 1.9 Symplectic Reduction.- 1.10 Integrable Systems.- 1.11 KAM Theory and Whiskered Tori.- 1.12 Invariant Manifolds.- 1.13 Stable and Unstable Manifolds.- 1.14 Stable and Unstable Foliations.- 1.15 Strong Stable and Unstable Manifolds.- 1.16 Weak Hyperbolicity.- 1.17 Homoclinic Orbits and Homoclinic Manifolds.- 1.18 Singular Perturbations and Slow Manifolds.- 1.19 Exchange Lemma.- 1.20 Exchange Lemma and Observability.- 1.21 Normal Forms.- 1.22 Averaging Methods.- 1.23 Lambda Lemma and the Homoclinic Tangle.- 1.24 Smale Horseshoes and Symbolic Dynamics.- 1.25 Chaos.- 1.26 Hyperbolic Sets, Transient Chaos, and Strange Attractors.- 1.27 Melnikov Methods.- 1.28 Šilnikov Orbits.- 2 Chaotic Jumping Near Resonances: Finite-Dimensional Systems.- 2.1 Resonances and Slow Manifolds.- 2.2 Assumptions and Definitions.- 2.3 Passage Lemmas.- 2.4 Tracking Lemmas.- 2.5 Energy Lemmas.- 2.6 Existence of Multipulse Orbits.- 2.7 Disintegration of Invariant Manifolds Through Jumping.- 2.8 Dissipative Chaos: Generalized Šilnikov Orbits.- 2.9 Hamiltonian Chaos: Homoclinic Tangles.- 2.10 Universal Homoclinic Bifurcations in Hamiltonian Applications.- 2.11 Heteroclinic Jumping Between Slow Manifolds.- 2.12 Partially Slow Manifolds of Higher Codimension.- 2.13 Bibliographical Notes.- 3 Chaos Due to Resonances in Physical Systems.- 3.1 Oscillations of a Parametrically Forced Beam.- 3.2 Resonant Surface-Wave Interactions.- 3.3 Chaotic Pitching ofNonlinear Vibration Absorbers.- 3.4 Mechanical Systems With Widely Spaced Frequencies.- 3.5 Irregular Particle Motion in the Atmosphere.- 3.6 Subharmonic Generation in an Optical Cavity.- 3.7 Intermittent Bursting in Turbulent Boundary Layers.- 3.8 Further Problems.- 4 Resonances in Hamiltonian Systems.- 4.1 Resonant Equilibria.- 4.2 The Classical Water Molecule.- 4.3 Dynamics Near Intersecting Resonances.- 4.4 An Example From Rigid Body Dynamics.- 4.5 Resonances in A Priori Unstable Systems.- 5 Chaotic Jumping Near Resonances: Infinite-Dimensional Systems.- 5.1 The Main Examples.- 5.2 Assumptions and Definitions.- 5.3 Invariant Manifolds and Foliations.- 5.4 Passage Lemmas.- 5.5 Tracking Lemmas.- 5.6 Energy Lemmas.- 5.7 Multipulse Homoclinic Orbits in Sobolev Spaces.- 5.8 Disintegration of Invariant Manifolds Through Jumping.- 5.9 Generalized Šilnikov Orbits.- 5.10 The Purely Hamiltonian Case.- 5.11 Homoclinic Jumping in the Perturbed NLS Equation.- 5.12 Partially Slow Manifolds of Higher Codimension.- 5.13 Homoclinic Jumping in the CNLS System.- 5.14 Bibliographical Notes.- A Elements of Differential Geometry.- A.1 Manifolds.- A.2 Tangent, Cotangent, and Normal Bundles.- A.3 Transversality.- A.4 Maps on Manifolds.- A.5 Regular and Critical Points.- A.6 Lie Derivative.- A.7 Lie Algebras, Lie Groups, and Their Actions.- A.8 Orbit Spaces.- A.9 Infinite-Dimensional Manifolds.- A.10 Differential Forms.- A.11 Maps and Differential Forms.- A.12 Exterior Derivative.- A.13 Closed and Exact Forms.- A.14 Lie Derivative of Forms.- A.15 Volume Forms and Orientation.- A.16 Symplectic Forms.- A.17 Poisson Brackets.- A.18 Integration on Manifolds and Stokes’s Theorem.- B Some Facts From Analysis.- B.1 Fourier Series.- B.2 Gronwall Inequality.- B.3 Banach and Hilbert Spaces.- B.4Differentiation and the Mean Value Theorem.- B.5 Distributions and Generalized Derivatives.- B.6 Sobolev Spaces.- B.8 Factorization of Functions With a Zero.- References.- Symbol Index.

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