This mograph presents the theory of nconservative systems close to nlinear integrable ones. With the example of concrete quasi-conservative systems close to nintegrable 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 automous and nautomous (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 nregular dynamics. For the automous systems, one should te the analysis of the standard (Duffing and pendulum) equations including the solution to the weakened 16 Hilbert's problem, and for the nautomous systems one should te 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.
A. D. Morozov
World Scientific Publishing Co Pte Ltd
Date of Publication
World Scientific Series on Nonlinear Science Series A