QUASI-CONSERVATIVE SYSTEMS: CYCLES, RESONANCES AND CHAOS

Language: English

Published by World Scientific Publishing Co Pte Ltd, SG, 1998

9810228104 / 9789810228101

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This monograph presents the theory of nonconservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to nonintegrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analyzed.The fundamantal part of the book deals with the investigation of the perturbable systems. Both autonomous and nonautonomous (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 nonregular 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 nonautonomous systems one should note the mathematical foundations of the theory of synchronization 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.…

Seller Inventory # LU-9789810228101

Title
QUASI-CONSERVATIVE SYSTEMS: CYCLES, RESONANCES AND CHAOS
Author
Albert D Morozov
Publisher
World Scientific Publishing Co Pte Ltd, SG
Publication year
1998
Condition
New
Binding
Hardback
Language
English
ISBN 10
9810228104
ISBN 13
9789810228101

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