PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER 1. PRINCIPLE OF REVERSIBILITY OF MODULATION-PARAMETRIC INTERACTIONS -- 1.1. Classification of oscillating systems, which give rise to forces seeking to change the effective reactive parameters… -- 1.2. Generalization of Manley-Row's classical energy relations -- 1.3. Analytical techniques for investigating modulation-parametric phenomena in resonance systems with external pumping -- 1.4. Analytical techniques for investigating modulation-parametric phenomena in generator systems -- CHAPTER 2. CONTROLLING EQUIVALENT IMPEDANCES OF RADIOPHYSICAL SYSTEMS -- 2.1. Methods of controlling the active and reactive parameters in modulation-parametric systems with external pumping -- 2.1.1. Input conductance (impedance) of a cophasal parametric modulator -- 2.1.2. Input admittance (impedance) of a complex parametric modulator with ,,quadratic" pumping of the parametric elements -- 2.1.3. Experimental results concerning the input conductance of a cophasal parametric modulator -- 2.1.4. On the existence of a modulation-parametric channel of energy conversion and input in the course of different… -- 2.2. Injection-locked oscillators as one-ports with controllable parameters -- 2.2.1. A method for analyzing second order oscillating systems, close to the conservative ones, with strong reactive… -- 2.2.2. Initial model and analytical techniques for investigating perturbed non-autonomous self-oscillating systems -- 2.2.3. Equivalent video-impedance of a one-port represented by an injection-locked oscillator -- 2.2.4. Analysis of the conversion properties of a one-port presented by a non-autonomous oscillator -- 2.2.5. Selective properties of an oscillator with asynchronous action -- 2.3. Converting properties of receiving and transmitting SHF oscillator modules.

2.3.1. Short-range self-detecting Doppler radars (autodyne systems) described by differential equations of the second order -- 2.3.2. Short-range self-detecting Doppler radar systems described by differential equations of the third order -- 2.4. Application of the principle of reversibility of the modulation-parametric interactions in radiophysical systems with… -- 2.4.1. Noise parameters and properties of one-ports with negative parameters built up on the basis of four-frequency… -- 2.4.2. Increasing the sensitivity of receiving systems of the type of a capacitive or inductive video sensor -- 2.4.3. Inductive sensor -- 2.4.4. Capacitive sensor -- 2.4.5. Implementation and utilization of modulation-parametric one-ports with negative conductance (negative resistance) -- 2.4.6. Implementation and utilization of modulation-parametric one-ports with negative capacitance -- 2.4.7. Implementation and utilization of modulation-parametric one-ports with negative inductance -- 2.5. Application of self-oscillating one-ports with controllable parameters -- CHAPTER 3. NONLINEAR RESONANCE IN RADIOPHYSICAL SYSTEMS. IMPLEMENTATION OF PARAMETRIC ONE-PORTS. PECULIARITIES OF THE… -- 3.1. Nonlinear resonance in an oscillating circuit with a p-n junction of a semiconductor diode -- 3.1.1. Effective (equivalent) parameters of the nonlinear oscillating circuit -- 3.1.2. The influence of higher harmonics on nonlinear resonance -- 3.1.3. Numerical analysis of the resonance properties of the oscillating circuit and experimental illustrations -- 3.1.4. Excitation of periodic oscillations on the basis of a nonlinear oscillating circuit with a pronounced hysteretic area… -- 3.2. Nonlinear and parametric resonance in a generalized oscillating circuit -- 3.2.1. Equivalent circuit and approximation of the nonlinear characteristics -- 3.2.2. Equations -- 3.2.3. Forced oscillations.

3.2.4. Parametric resonance -- 3.3. Generalized modified method of complex amplitudes for analyzing processes in nonlinear oscillating systems -- 3.4. Implementation of parametric one-ports -- 3.5. Influence of the effect of accumulation of a minority carrier charge on the performance of semiconductor diodes in… -- 3.5.1. Phenomenological model of the process of charge accumulation -- 3.5.2. Frequency characteristics of detection -- 3.5.3. Diffusive impedance of the p-n junction at high signal amplitudes and higher frequencies -- CHAPTER 4. CHAOTIC OSCILLATIONS IN RADIOPHYSICAL SYSTEMS -- 4.1. Radiophysical systems with natural complex dynamics. Research methods -- 4.1.1. Major concepts: bifurcations, chaos, strange attractor, fractal dimension. Conditions for the manifestation of… -- 4.1.2. Basic mechanisms of transition from determined to chaotic oscillations -- 4.1.3. Methods and criteria for identifying chaotic oscillations -- 4.1.4. Experimental and numerical methods for investigating chaotic oscillations -- 4.2. Chaotic oscillations in non-autonomous radiophysical systems with nonlinear reactance and parametric systems -- 4.3. Chaotic oscillations in generator radiophysical systems and SHF short-range self-detecting Doppler radars (autodyne… -- 4.3.1. Conditions for chaotization of the oscillations in generator systems -- 4.3.2. Bifurcations and chaos in autonomous and non-autonomous generator systems -- 4.3.3. Creating chaotic oscillations in generator systems with a delayed feedback -- 4.3.4. Chaos in SHF short-range self-detecting Doppler radars -- CHAPTER 5. ELEMENTS OF RADIOPHYSICAL SYSTEMS -- 5.1. Generalization of the method of complex amplitudes for linear oscillating systems with periodic parameters and… -- 5.2. Linear periodic and almost periodic elements of radiophysical systems.

5.2.1. Periodic and almost periodic resistance and conductance -- 5.2.2. Periodic inductance and magnetic susceptibility -- 5.2.3. Periodic capacitance and electric elastance -- 5.2.4. Power consumed by periodic elements of the radio circuits -- 5.3. Nonlinear elements of radiophysical systems -- 5.4. The law of energy conservation in oscillating systems -- CHAPTER 6. OSCILLATING CIRCUIT WITH CONSTANT PARAMETERS -- 6.1. Free and forced oscillations in a generalized oscillating circuit -- 6.2. Energy balance in a generalized oscillating circuit -- CHAPTER 7. GENERAL ANALYSIS OF THE PARAMETRIC PHENOMENA IN LINEAR OSCILLATING SYSTEMS WITH PARAMETERS CHANGING IN TIME -- 7.1. Qualitative analysis of the free processes in a generalized linear oscillating circuit with periodic parameters -- 7.1.1. Structure of the differential equations describing linear oscillating systems with positive parameters -- 7.1.2. Vector differential equation describing a linear oscillating circuit with time-dependent parameters -- 7.1.3. Classification of the free processes in Hamiltonian oscillating circuits -- 7.1.4. Phase plane of a linear oscillating circuit with periodic parameters -- 7.1.5. Stability of the canonical systems -- 7.1.6. Stability criteria of a generalized linear resonance circuit -- 7.1.7. Stability of an oscillating circuit with a piece-wise linear volt-coulomb characteristic -- 7.1.8. Analysis of the free processes in a linear quasi-harmonic oscillating circuit -- 7.2. Stationary regime in linear radiophysical systems with periodic and almost periodic parameters -- 7.3. Parametric resonance in a linear oscillating circuit with periodic parameters -- 7.3.1. Resonance 1. Geometric meaning of the resonance in a linear oscillating circuit with periodic parameters.

7.3.2. Resonance 2. First and second power resonance of a linear oscillating circuit with periodic parameters -- 7.3.3. Resonance 3. Equation of the natural oscillations in the instability range -- CHAPTER 8. NONLINEAR OSCILLATING SYSTEMS WITH PARAMETERS CHANGING IN TIME -- 8.1. The principle of linear connection in the analysis of forced oscillations in a nonlinear oscillating circuit -- 8.2. ,,Strong" and ,,weak" resonance in a nonlinear system with explicitly time-dependent parameters -- 8.3. Quasi-periodic oscillations in an auto-generator with an oscillating circuit containing nonlinear reactance -- 8.4. Thermoparametric oscillations -- CHAPTER 9. GROUPING OF COUPLED OSCILLATING SYSTEMS IN STABLE ELECTROMECHANICAL FORMATIONS -- 9.1. Introduction -- 9.2. Generalized conditions for grouping in stable electromechanical formations -- 9.3. Peculiarities of the processes of interaction between coupled oscillating systems -- 9.4. Electromagnetic tracking system -- 9.5. A tracing system with a self-tuning capacitance -- 9.5.1. Conditions for grouping two oscillating systems with changing capacitive and constant ohmic coupling in stable… -- 9.5.2. Ponderomotive forces and interaction energy in connected resonance systems with self-tuning capacitance -- 9.6. Grouping of coupled dipole resonators under the action of an external electromagnetic wave -- CHAPTER 10. A PHENOMENON OF EXCITATION OF CONTINUOUS OSCILLATIONS WITH A DISCRETE SET OF STABLE AMPLITUDES ("QUANTIZED"… -- 10.1. Introduction (Major model notions) -- 10.2. Numerical experiment of excitation of ,,quantized" pendulum oscillations -- 10.3. Analytical proof of the existence of ,,quantized" kick-pendulum oscillations -- 10.3.1. An approach used in the case of small amplitudes of pendulum oscillation.

10.3.2. Spectrum of the possible oscillation amplitudes of a pendulum under the action of an external nonhomogeneous force.