Nonlinear and Parametric Phenomena: Theory and Applications in Radiophysical and Mechanical SystemsThe book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems linear, nonlinear, parametric, and nonlinear-parametric. An analytical technique for the broad circle of issues under consideration is developed. It is presented in a user-friendly form, allowing its further direct application in research practices. Analytical methods are presented for investigating modulation-parametric and nonlinear systems, oscillating systems with periodic and almost periodic time-dependent parameters, effects of adaptive self-organization in coupled resonance systems and oscillating systems under the action of external forces, nonlinear with respect to the coordinates of excited systems. Of an interdisciplinary nature, this volume can serve as a handbook for developing lecture courses such as Fundamentals of Nonlinear Dynamics and Theory of Nonlinear Oscillations, Theory of Nonlinear Circuits and Systems, Fundamentals of Radiophysics and Electronics, Theory of Signals and Theoretical Radiophysics, Theoretical Mechanics and Electrodynamics. |
Contents
CHAPTER 1 | 17 |
phenomena in resonance systems with external pumping | 30 |
and input in the course of different manipulations with signals | 45 |
parameters | 58 |
nonautonomous selfoscillating systems | 60 |
modules | 78 |
parametric interactions in radiophysical systems with external | 100 |
negative conductance negative resistance | 118 |
dependent parameters | 283 |
characteristic | 311 |
parameters | 328 |
CHAPTER 8 | 348 |
circuit containing nonlinear reactance | 364 |
formations | 374 |
CHAPTER 10 | 391 |
oscillations | 419 |
CHAPTER 3 | 138 |
experimental illustrations | 145 |
circuit | 165 |
on the performance of semiconductor diodes in radiophysical | 194 |
CHAPTER 4 | 211 |
nonlinear reactance and parametric systems | 225 |
shortrange selfdetecting Doppler radars autodyne systems for close | 232 |
CHAPTER 5 | 246 |
CHAPTER 6 | 272 |
an external nonlinear force | 439 |
of an incoming falling wave | 472 |
dynamical system existing under wave action | 491 |
dissipative maps | 504 |
Dynamical Systems Conclusions | 517 |
| 531 | |
| 548 | |
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Common terms and phrases
accordance action active amplitude analogous analysis applied approximation assume autodyne basis bifurcation capacitance chaotic characteristic charge coefficient combined complex components conductance consider consideration constant conversion corresponding coupling dependence described determined developed differential equations diode direct discrete dynamic effective element energy equal equation equivalent example excitation expression external force frequency function given harmonic impedance increases inductance initial conditions input instability interaction introduced linear matrix mechanical method mode modulation motion natural negative nonlinear obtained occurs oscillating circuit oscillating systems parameters pendulum periodic phase phenomena plane positive possible presented processes properties pumping radiophysical range reactive resistance resonance respect result shown shows signal solution space spectrum stability stationary structure taking term theory transformation values variable vector voltage wave zero