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Article
On the possibility for an autooscillatory system under external periodic drive action to exhibit universal behavior characteristic of the transition to chaos via period-doubling bifurcations in conservative systems
We propose a model of an autooscillatory system that admits the physical realization of the universal Hamiltonian-type critical behavior at a threshold of the transition to chaos that is characteristic of cons...
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Article
Realization of a strange attractor of the Smale-Williams type in a radiotechnical delay-feedback oscillator
Based on a nonautonomous delay-feedback van der Pol oscillator, a radiotechnical circuit generating chaotic signals has been proposed and implemented, which alternatively occurs in the states of excitation and...
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Article
Polyethylene-layered silicate nanocomposites: Synthesis, structure, and properties
This work studies the structure and main properties of nanocomposites based on polyethylene (PE) and modified montmorillonite (MMT) and prepared by intercalation polymerization. This method provides virtually ...
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Article
On the feasibility of a parametric generator of hyperbolic chaos
A chaos generator consisting of two subsystems is considered. Each subsystem is a pair of parametrically coupled oscillators whose free-running frequencies differ by a factor of two. The subsystems are alterna...
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Article
Birth of a New Class of Period-Doubling Scaling Behavior as a Result of Bifurcation in the Renormalization Equation
It is found that a fixed point of the renormalization group equation corresponding to a system of a unimodal map with extremum of power κ and a map summarizing values of a function of the dynamical variable of t...
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Article
Polymer materials based on ethylene copolymers with substituted norbornene
The copolymers of ethylene with 5-ethylidene-2-norbornene containing 10–65% of the cyclic comonomer have been prepared with the use of three ansa-metallocene catalysts, namely, Et[Ind]2ZrCl2-methylaluminoxane, Et...
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Article
Oxidative transformations of acetonitrile on a La-Ce/MgO catalyst
In the interaction with air or a methane-air mixture in the presence of a ctalyst containing lanthanum and cerium oxides supported on magnesium oxide (periclase), acetonitrile underwent redox transformations t...
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Article
Complex analytic dynamics phenomena in a system of coupled nonautonomous oscillators with alternative excitation
A model system of two coupled nonautonomous oscillators is proposed, in which the phenomena of complex analytic dynamics (Mandelbrot and Julia sets, etc.) characteristic of complex logistic maps are realized. ...
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Article
Scattering of very cold neutrons from the supramolecular structure of ethylene copolymers with substituted norbornene, 5-ethylidene-2-norbornene
The transformation of the nanostructure of ethylene copolymers with 5-ethylidene-2-nonbornene due to variations in the concentration of 5-ethylidene-2-nonbornene is studied using scattering of very cold neutro...
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Article
On the realization of the Hunt-Ott strange nonchaotic attractor in a physical system
The object of investigation is a system consisting of two coupled nonautonomous van der Pol oscillators the characteristics frequencies of which differ by a factor of 2. The system is subjected to an external ...
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Article
High-dimensional chaotic attractors in a gyrotron with nonfixed field structure
The chaotic dynamics of a gyrotron with nonfixed field structure is numerically simulated and the Lyapunov exponents of chaotic attractors are calculated. The dimensions of chaotic attractors estimated using t...
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Article
A strange attractor of the Smale-Williams type in the chaotic dynamics of a physical system
A nonautonomous nonlinear system is constructed and implemented as an experimental device. As represented by a 4D stroboscopic Poincaré map, the system exhibits a Smale-Williams-type strange attractor. The sys...
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Article
Multiparameter Critical Situations, Universality and Scaling in Two-Dimensional Period-Doubling Maps
We review critical situations, linked with period-doubling transition to chaos, which require using at least two-dimensional maps as models representing the universality classes. Each of them corresponds to a ...
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Article
Modification of the large particle method applied in numerical solution of problems of microwave electronics
The method of large particles, which is applied in one-dimensional numerical simulation of processes in electron devices, such as traveling-wave tubes, is suggested. With the number of large particles fixed, t...
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Article
Wave Theory of a Traveling-Wave Tube Operated Near the Cutoff
We outline the main principles of the wave theory of interaction between an electron beam and waves in a slow-wave structure near the edge of the transmission band. Formulation of the basic equations and the b...
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Article
Chaos and Hyperchaos in a Backward-Wave Oscillator
Based on a numerical solution of the equations of the nonstationary nonlinear theory, we study chaotic self-oscillation regimes in a backward-wave oscillator. For “weak” chaos, arising via a period-doubling ca...
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Article
Chaos-controlling technique for suppressing self-modulation in backward-wave tubes
A method for suppressing self-modulation in backward-wave tubes is proposed. Additional delay is introduced into the feedback circuit, owing to which the output signal amplitude affects the electron beam curre...
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Chapter
Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associated with the Golden Mean Quasiperiodicity
The paper presents a two-dimensional version of the Feigenbaum-Kadanoff-Shenker renormalization group equation. Several universality classes of critical behavior are discussed, which may occur at the onset of ...
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Article
On the scaling properties of two unidirectionally coupled period-doubling systems in the presence of noise
The results of numerical experiments reveal and illustrate the scaling properties manifested under the noise action at a bicritical point situated at the chaos boundary in a system of two unidirectionally coup...
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Article
Dynamics of feigenbaum systems with unidirectional coupling near onset of chaos. The bicritical attractor
It is proposed that a bicritical point exists in the plane of the control parameters of two logistic maps with unidirectional coupling where the lines of transition to chaos in both subsystems converge. The gl...
