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Circuit design and image encryption of CNN chaotic system based on memristor
A new general-purpose voltage-controlled memristor with a fourth power term is designed in this paper. Based on this memristor, a new...
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Pore-scale investigation of two-dimensional water–oil displacement in fractured porous media
The pore and branching fracture structures in both naturally and artificially fractured reservoirs significantly affect the water–oil displacement...
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Method of Invariant Grids
The method of invariant grids is developed for a grid-based computation of invariant manifolds.
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Mathematical Notation and Some Terminology
– The operator L from space W to space E: L : W → E
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Invariance Equation in Differential Form
Definition of invariance in terms of motions and trajectories assumes, at least, existence and uniqueness theorems for solutions of the original...
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Entropy, Quasiequilibrium, and Projectors Field
Projection operators Py contribute both to the invariance equation (3.2), and to the film extension of the dynamics (4.5). Limiting results, exact...
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1 Introduction
The class of block-oriented nonlinear models includes complex models which are composed of linear dynamic systems and nonlinear static elements....
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Computer Simulations of the Electric Double Layer
We describe the Lekner–Sperb summation technique used to calculate the Coulomb interaction in 2D periodic systems, and discuss in detail the methods...
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Molecular Dynamics of Complex Systems: Non-Hamiltonian, Constrained, Quantum-Classical
A theoretically sound and computationally tractable treatment for non-Hamiltonian molecular dynamics is needed for simulations of complex systems....
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Results for Sr2RuO4
In this chapter, we focus on our results for the elementary excitations and Cooper pairing in strontium ruthenate (...
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10. Main sychronization
It was made clear in Chapter 9 that the second order type-II loop operates either in saturated or in unsaturated mode. In this chapter, only the main...
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4. Main synchronization
In this chapter the main synchronization of the first order PLL is discussed. At first, we perform the local stability analysis of the main...
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8. Main synchronization
In the present chapter the main synchronization of the second order type-I loop is treated. At first, the local stability analysis is presented and...
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Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method
We study by the singular manifold method a few 1+1-dimensional partial differential equations which possess N-soliton solutions for arbitrary N, i.e....
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Reverse Non-equilibrium Molecular Dynamics
We review non-equilibrium methods for calculating transport coefficients with emphasis on the reverse non-equilibrium molecular dynamics (RNEMD)...
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Mesoscopic Multi-particle Collision Model for Fluid Flow and Molecular Dynamics
Several aspects of modeling dynamics at the mesoscale level are discussed: (1) The construction of a mesoscopic description of fluid dynamics. The...
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11. Third harmonic synchronization
In this chapter, a brief analysis of the synchronization at the third harmonic of the center VCO frequency is given. The relatively large width of...
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6. Introduction to second order type – I PLL
From the analysis of the first order loop, presented in Part I, it becomes evident that the presence of the ripple in the output of the phase...
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12. Introduction to third order type – II PLL
According to the analysis presented in Part IV, the presence of ripple makes the performance of the second order type-II loop problematic. Therefore,...