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Multiperiodic Solution of the Initial-Boundary Value Problem for an Integro-Differential Equation of the Parabolic Type
AbstractThis paper investigates the initial-boundary value problem for an integro-differential equation of parabolic type with a differentiation...
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Multiperiodic Solutions of Systems of the Equations with Differential Operator in the Direction of a Vector Field
AbstractThe system of the equations with differential operator in the directions of a multiperiodic potential vector field are considered. The...
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Multiperiodic Bounded Oscillations in Quasilinear Finite-Hereditary Integro-Differential Systems Convection-Diffusion Type
AbstractThe question of the existence of multiperiodic oscillations in linear and quasilinear systems describing finitely hereditary processes of the...
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Coexistence of Chaotic, Quasiperiodic and Multiperiodic Features in Quantum Plasma
Coexistence of chaotic, quasiperiodic and multiperiodic features of arbitrary amplitude quantum ion-acoustic waves are rigorously discussed in a...
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Integrability and Exact Solutions of the (2+1)-dimensional KdV Equation with Bell Polynomials Approach
In this paper, the bilinear formalism, bilinear Bäcklund transformations and Lax pair of the (2+1)-dimensional KdV equation are constructed by the...
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Reduction of a Linear \(\boldsymbol{D_{e}}\)-System to a Canonical Form in the Case of Equivalence to a \(\boldsymbol{D_{e}}\)-System of Higher Order Linear Equations
AbstractIn the article a method of reducing a linear system with a differentiation operator in the direction of the main diagonal to a canonical form...
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Hierarchical Structures and Multiscale Optical Design: Unconventional Modes of Confined Optical Transport for Better Photodetectors
This chapter investigates an exploratory design that uses hierarchical multiperiodic structures for controlling the flow of light in unconventional...
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Influence of amplitude-modulated excitation on the dynamic behaviour of polarisation of a material
This work concerns the modelling of the dynamics of polarisation of a centrosymmetric material subjected to an amplitude-modulated excitation (AME)....
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Multistability and dynamical properties of quantum ion-acoustic flow
Multistability and dynamical properties of ion-acoustic flow are studied in a quantum plasma containing positive beam ions, positive ions and...
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The Mutual Influence of the Turbulence Coefficient and Reynolds Number on the Formation of a Turbulent Process: 2. Existing Scenarios for the Occurrence and Development of Turbulence
AbstractSome characteristic features of three scenarios for the occurrence and development of turbulence are presented: the Landau–Hopf scenario, the...
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On the Chaotic Behavior of Coupled Friction-Induced Oscillators Subjected to Base-Excitation
The transition of synchronization behavior in a coupled friction-induced oscillatorsFriction-Induced oscillator during its route to chaosChaos is...
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Chirped dark soliton propagation in optical fiber under a self phase modulation and a self-steepening effect for higher order nonlinear Schrödinger equation
We have studied the dynamics of various kinds of optical dark solitons like, chirped, chirp-free, M-shaped & wing shaped dark solitons using...
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Nonlinear Dynamics of a Framed Structure in Case of Biped Gait: Chaotization and Self-organization
The problems of modeling the passive gait of anthropomorphic mechanisms and the synthesis of the control system providing their stable movement are...
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Complex Oxygen Regimes of Water Objects Under the Anthropogenic Loading
Under conditions of intense anthropogenic loading in combination with climate change, the significant degradation of water resources of the planet,...
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Forces that Shape the Cell
Systems biomechanics of the cell is a new area of study that focuses on system-level mechanical phenomena in the cell, notably involving interaction...
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Nonlinear dynamics, adaptive control and synchronization of a system modeled by a chemical reaction with integer- and fractional-order derivatives
This work addresses the influence of the fractional derivative on the bifurcation and route to chaos of a system modeled by a chemical reaction...
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Numerical approximation of the scattering amplitude in elasticity
We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions
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The First Harvest (1914–1924): In Search of the Photon
At the end of Sect. 2.1, we had left Einstein in Zurich, but he was already preparing to joinUniversityBerlin the University of BerlinBerlin. In...