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Quasi-Conservative Systems: Cycles, Resonances and Chaos

£34.99 Out Of Stock

Product description

This monograph presents the theory of non-conservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to non-integrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analysed. The fundamental part of the book deals with the investigation of the perturbable systems. Both autonomous and non-autonomous (periodic in time) systems are considered. The global analysis of systems close to the two-dimensional Hamiltonian ones takes a central place in the text. This global analysis includes the solution to problems such as the limit cycles, resonances, and non-regular dynamics. For the autonomous systems, one should note the analysis of the standard (Duffing and pendulum) equations including the solution to the "weakened" 16 Hilbert's problem, and for the non-autonomous systems one should note the mathematical foundations of the theory of synchronisation of oscillations (the existence of new regimes, and the passage of invariant tori across the resonance zones under the change of detuning). The presentation is accompanied by examples.

Very good condition. Black leatherette boards with gilt lettering to spine and front. Boards and pages clean and undamaged. Binding tight. Dust jacket shows only minor shelfwear and a small closed tear at the top of the front fold.

Item details

PLU:
0
Author(s):
Albert D Morozov
Condition:
Used: very good
Dimensions:
228 x 157 x 18 mm
Edition:
First edition (1998)
Format:
Hardback
ISBN-10:
9810228104
ISBN-13:
9789810228101
Number of pages:
325
Publisher:
World Scientific
Title:
Quasi-Conservative Systems: Cycles, Resonances and Chaos

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About this item

This monograph presents the theory of non-conservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to non-integrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analysed. The fundamental part of the book deals with the investigation of the perturbable systems. Both autonomous and non-autonomous (periodic in time) systems are considered. The global analysis of systems close to the two-dimensional Hamiltonian ones takes a central place in the text. This global analysis includes the solution to problems such as the limit cycles, resonances, and non-regular dynamics. For the autonomous systems, one should note the analysis of the standard (Duffing and pendulum) equations including the solution to the "weakened" 16 Hilbert's problem, and for the non-autonomous systems one should note the mathematical foundations of the theory of synchronisation of oscillations (the existence of new regimes, and the passage of invariant tori across the resonance zones under the change of detuning). The presentation is accompanied by examples.

Very good condition. Black leatherette boards with gilt lettering to spine and front. Boards and pages clean and undamaged. Binding tight. Dust jacket shows only minor shelfwear and a small closed tear at the top of the front fold.

PLU:
0
Author(s):
Albert D Morozov
Condition:
Used: very good
Dimensions:
228 x 157 x 18 mm
Edition:
First edition (1998)
Format:
Hardback
ISBN-10:
9810228104
ISBN-13:
9789810228101
Number of pages:
325
Publisher:
World Scientific
Title:
Quasi-Conservative Systems: Cycles, Resonances and Chaos

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