Hayashi, C.: Nonlinear Oscillations in Physical Systems. McGraw-Hill, New York (1964)Nonlinear oscillations in physical systems - HAYASHI - 1964 () Citation Context ... Qualitatively speaking, a system is orbitally stable if starting from a steady closed phase trajectory, any finite disturbance ...
This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields...
Nonlinear Oscillations in Physical Systems 来自 EconPapers 喜欢 0 阅读量: 126 作者: G Adomian 摘要: The decomposition method [1,2] is applied to oscillatory problems eliminating need for linearization of nonlinear systems and perturbation as well as allowing consideration of stochastic oscillators. ...
Nonlinear Oscillations in Physical Systems. 86–93 (McGraw-Hill, 1964). 42. Hsieh, D. Y. On Mathieu equation with damping. Journal of Mathematical Physics 21, 722–725, doi:http://dx.doi.org/10.1063/1.524492 (1980). 43. Turner, K. et al. Five parametric resonances in a micro...
This volume is an up-to-date treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view. Also, the relation between the theory of oscillations ...
JournalofStatisticalPhysics,Vol.38,Nos.3/4,1985 BookReview:NonlinearOscillations,DynamicalSystems, andBifurcationsofVectorFields NonlinearOscillations,DynamicalSystems,andBifurcationsofVector Fields. JohnGuckenheimerandPhilipHolmes Oneimportantaspectofdynamicalsystemsisthestudyofthelong-term behaviorofasetofordinarydif...
7.4 Nonlinear periodic oscillations. 7.5 Transition to complex response. 7.6 Nonclassical analyses. 7.7 Summary. References. 8 Forced Harmonic Vibration of an Asymmetric Duffing Oscillator (Ivana Kovacic and Michael J. Brennan). 8.1 Introduction. 8.2 Models of the systems under consideration. 8.3 ...
摘要: The mathematical methods for studying stability and oscillations in control systems with various types of pulse modulation (pulse-width, pulse-frequency, combined and phases in different modifications) are treated in this volume.出版时间: 1998/01/01 ...
摘要:This paper investigates oscillations in a flexible rotor system with radial clearance between an outer ring of the bearing and a casing by experiments and numerical simulations. The mathematical model considers the collisions of the bearing with the casing. The following phenomena are found: (1...
The limit cycle oscillations can result when the steady state of the system loses its stability through a change in operating condition. These systems also exhibit complicated dynamic responses when the limit cycle becomes unstable. The exotic behavioral patterns displayed by the nonlinear systems may ...