Unfoldings and bifurcations of quasi-periodic tori / [electronic resource] H.W. Broer ... [et al.].

Contributor(s): Broer, H. W. (Hendrik Wolter), 1950-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 421Publication details: Providence, R.I., USA : American Mathematical Society, c1990Description: 1 online resource (vii, 175 p. : ill.)ISBN: 9781470408442 (online)Subject(s): Flows (Differentiable dynamical systems) | Bifurcation theory | Torus (Geometry)Additional physical formats: Unfoldings and bifurcations of quasi-periodic tori /DDC classification: 510 s | 515/.352 LOC classification: QA3 | .A57 no. 421 | QA614.82Online resources: Contents | Contents
Contents:
Part I. Unfoldings of quasi-periodic tori (by H. W. Broer, G. B. Huitema and F. Takens) 1. Introduction 2. Preliminaries 3. The integrable case 4. The nearly integrable case in the general (dissipative) context 5. The nearly integrable cases in the volume preserving and the symplectic ($m$ = $n$) contexts 6. The nearly integrable case in the general symplectic context 7. Applications -- Related results 8. Proof of the main result Part II. Toward a quasi-periodic bifurcation theory (by B. L. J. Braaksma, H. W. Broer and G. B. Huitema) 1. Introduction 2. A higher order normal form theory 3. The bifurcation models 4. Applications 5. Proof of the Saddle-Node Stability Theorem Appendix
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"January 1990, volume 83, number 421 (third of 6 numbers)."

Includes bibliographical references (p. 171-175).

Part I. Unfoldings of quasi-periodic tori (by H. W. Broer, G. B. Huitema and F. Takens) 1. Introduction 2. Preliminaries 3. The integrable case 4. The nearly integrable case in the general (dissipative) context 5. The nearly integrable cases in the volume preserving and the symplectic ($m$ = $n$) contexts 6. The nearly integrable case in the general symplectic context 7. Applications -- Related results 8. Proof of the main result Part II. Toward a quasi-periodic bifurcation theory (by B. L. J. Braaksma, H. W. Broer and G. B. Huitema) 1. Introduction 2. A higher order normal form theory 3. The bifurcation models 4. Applications 5. Proof of the Saddle-Node Stability Theorem Appendix

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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