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Topics in Bifurcation Theory and Applications

£19.99

Product description

This textbook presents efficient analytical techniques in the local bifurcation theory of vector fields. It is centred on the theory of normal forms and its applications, including interactions with symmetries. Attention is given to examples with reversible vector fields, including the physical example given by the water waves. The second part deals with the Couette-Taylor hydrodynamical stability problem, between concentric rotating cylinders. The spatial structure of various steady or unsteady solutions is covered. The text also studies bifurcations from group orbits of solutions in an elementary way. The third part analyzes bifurcations from time periodic solutions of autonomous vector fields. A normal form theory is developed, covering all cases, and emphasizing a partial Floquet reduction theory, which is applicable in infinite dimensions. Studies of period doubling as well as Arnold's resonance tongues are included in this part.

Clean, unmarked copy.

Item details

Author(s):
Iooss, Gerard (Institut Universitaire de France, France)
Condition:
Used: very good
Dimensions:
22x15.5cm
Edition:
1988
Format:
Hardback
ISBN-10:
9810237286
ISBN-13:
9789810237288
Number of pages:
186
Publisher:
World Scientific Publishing

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About this item

This textbook presents efficient analytical techniques in the local bifurcation theory of vector fields. It is centred on the theory of normal forms and its applications, including interactions with symmetries. Attention is given to examples with reversible vector fields, including the physical example given by the water waves. The second part deals with the Couette-Taylor hydrodynamical stability problem, between concentric rotating cylinders. The spatial structure of various steady or unsteady solutions is covered. The text also studies bifurcations from group orbits of solutions in an elementary way. The third part analyzes bifurcations from time periodic solutions of autonomous vector fields. A normal form theory is developed, covering all cases, and emphasizing a partial Floquet reduction theory, which is applicable in infinite dimensions. Studies of period doubling as well as Arnold's resonance tongues are included in this part.

Clean, unmarked copy.

Author(s):
Iooss, Gerard (Institut Universitaire de France, France)
Condition:
Used: very good
Dimensions:
22x15.5cm
Edition:
1988
Format:
Hardback
ISBN-10:
9810237286
ISBN-13:
9789810237288
Number of pages:
186
Publisher:
World Scientific Publishing

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