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On the Stabilization of Nonlinear Cylindrical Oscillations in Plasma with a Current
AbstractA mathematical model of the effect of axial current in plasma on cylindrical nonrelativistic nonlinear oscillations is constructed. As a...
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Oscillations
It is well known that some important properties of nonlinear equations can be determined through qualitative analysis. The general theory and...
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A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
We introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple...
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Rayleigh–Bénard Convection in a Bi-viscous Bingham Fluid with Weak Vertical Harmonic Oscillations: Linear and Non-linear Analyses
Linear and weakly non-linear stability analyses of Rayleigh–Bénard convection in a bi-viscous Bingham fluid layer are performed in the presence of...
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Free and Forced Bending-Torsional Oscillations of an Anisotropic Elongated Plate Fixed on a Spherical Hinge
AbstractRefined geometrically nonlinear equations of motion are derived for elongated rod-type plates which are made of composite materials. The...
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Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations
We study the local dynamics of chains of coupled nonlinear systems of second-order ordinary differential equations of diffusion-difference type. The...
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Refined Geometrically Nonlinear and Linear Equations of Motion of an Elongated Rod-Type Plate
AbstractNew refined geometrically nonlinear equations of motion of composite elongated rod-type plates in plane stress-strain state are derived for...
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Method of Local Linear Approximation in the Theory of Nonlinear Impulsive Systems
For nonlinear differential equations with impulsive perturbations, we formulate a general assertion concerning the existence of bounded solutions. By...
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The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations
The study of nonlinear Schrödinger-type equations with nonzero boundary conditions introduces challenging problems both for the continuous (partial...
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Linear and Nonlinear Development of Bending Perturbations in a Fluid-Conveying Pipe with Variable Elastic Properties
AbstractWe consider bending vibrations of a fluid-conveying pipe resting on an elastic foundation with nonuniform elasticity coefficient. Previously...
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The response of linear oscillators coupled to MDOF nonlinear attachment with combined seismic excitation
The system of linear oscillators coupled to multi-degree-of-freedom (MDOF) nonlinear attachment with combined periodic and stochastic seismic...
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On Thermo-Optically Excited Parametric Oscillations of Microbeam Resonators. II
AbstractThe present article is the second part of our study of the nonlinear dynamics of parametrically excited bending vibrations of a microbeam...
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Nonlinear Loading and Dam** of a Single Degree of Freedom Oscillator
A single degree of freedom oscillator system subject to regular sinusoidal loading does exhibit a well-known linear solution. In real situations, we...
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Dam** Oscillations of a Cylinder with a Coaxial Disk and a Stabilizer
AbstractDamped rotational oscillations of a cylinder equipped with a coaxial disk in the head part and a stabilizer in the tail part are studied. The...
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On Opto-Thermally Excited Parametric Oscillations of Microbeam Resonators. I
AbstractThe present work is the first part of a study of nonlinear dynamics of parametrically excited transverse oscillations of a clamped-clamped...
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Discontinuity Structures and Solitary Waves in Electromagnetic Hydrodynamics Associated with Linear and Nonlinear Alfvén Wave Resonances
AbstractNondissipative and weakly dissipative discontinuity structures are considered. A special numerical method for studying periodic waves is...
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Linear Quasi-Monotone and Hybrid Grid-Characteristic Schemes for the Numerical Solution of Linear Acoustic Problems1
AbstractThe system of linear acoustic equations is hyperbolic. It describes the process of acoustic wave propagation in deformable media. An...
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Differential Equations with a Small Parameter and Multipeak Oscillations
AbstractIn this paper, we study a nonlinear dynamical system of autonomous ordinary differential equations with a small parameter
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On Piezoelectric Energy Harvesting Using a Nonlinear Vibration Absorber
The mechanical system is considered which consists of two coupled oscillators (nonlinear absorber connected with primary mass) and piezoelectric...
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Learning spiking neuronal networks with artificial neural networks: neural oscillations
First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and...
