| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Summary |
In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems. |
| Contents |
Complex linearization -- KAM Theory for circle and annulus maps -- KAM Theory for flows -- Further developments in KAM Theory -- Quasi-periodic bifurcations: dissipative setting -- Quasi-periodic bifurcation theory in other settings -- Further Hamiltonian KAM Theory -- Whitney smooth bundles of KAM tori -- Conclusion. |
| Bibliography |
Includes bibliographical references and indexes. |
| Note |
Print version record. |
| Subject |
Differentiable dynamical systems.
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Dynamique différentiable.
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MATHEMATICS -- Differential Equations -- General.
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Differentiable dynamical systems
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| Indexed Term |
dynamische systemen |
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dynamic systems |
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theorie |
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theory |
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Systems and Control Theory |
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Theorie van meet- regel- en systeemtechniek |
| Added Author |
Broer, H. W. (Hendrik Wolter), 1950-
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Takens, Floris.
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Hasselblatt, Boris.
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| Other Form: |
Print version: Handbook of dynamical systems. Volume 3. Amsterdam ; Oxford : Elsevier, 2010 9780444531414 (OCoLC)646396871 |
| ISBN |
9780444531414 (electronic bk.) |
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0444531416 (electronic bk.) |
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9780080932262 (electronic bk.) |
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0080932266 (electronic bk.) |
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9780444638212 (pbk.) |
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0444638210 (pbk.) |
| Standard No. |
AU@ 000046315129 |
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CHNEW 001009915 |
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DEBBG BV042300887 |
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DEBSZ 372797830 |
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DEBSZ 482369701 |
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NZ1 13642854 |
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UKMGB 017549417 |
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AU@ 000074354449 |
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