Quasi-Conservative Systems: Cycles, Resonances and Chaos

Name: Quasi-Conservative Systems: Cycles, Resonances and Chaos
Brand: World Scientific Publishing Company
SKU: 9789810228101
Price: 15080.0 INR
Availability: InStock

by Albert D. Morozov

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ISBN13: 9789810228101
Binding: Hardcover
Subject: N/A
Publisher: World Scientific Publishing Company
Publisher Imprint: World Scientific Publishing Company
Publication Date: July 2, 1998
Pages: 340
Original Price: GBP 105.0
Language: English
Edition: N/A
Item Weight: 635 grams
BISAC Subject(s): Chaotic Behavior in Systems

About The Book

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.

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