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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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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... -
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.... -
Reverse Non-equilibrium Molecular Dynamics
We review non-equilibrium methods for calculating transport coefficients with emphasis on the reverse non-equilibrium molecular dynamics (RNEMD)... -
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... -
On the Reduction of Molecular Degrees of Freedom in Computer Simulations
Molecular simulations, based on atomistic force fields are a standard theoretical tool in materials, polymers and biosciences. While various methods,... -
Lattice Boltzmann Modeling of Complex Fluids: Colloidal Suspensions and Fluid Mixtures
The study of complex fluid dynamics requires development of numerical tools that capture the essentials of the dynamic coupling among the different... -
Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems
More than 20 years ago, it was discovered that the solutions of the Kadomtsev-Petviashvili (KP) hierarchy constitute an infinite-dimensional... -
Discrete Painlevé Equations: A Review
We present a review of what is current knowledge about discrete Painlevé equations. We start with a historical introduction which explains how the... -
Ultradiscrete Systems (Cellular Automata)
Ultradiscretization is a limiting procedure which allows one to obtain a cellular automaton (CA) from continuous equations. Using this method, we can... -
Symmetries of Discrete Systems
In this series of lectures, we review the application of Lie point symmetries, and their generalizations, to the study of difference equations. The... -
Time in Science: Reversibility vs. Irreversibility
To discuss properly the question of irreversibility one needs to make a careful distinction between reversibility of the equations of motion and the... -
Some Aspects of Low-Mach-Number External Flows
In this chapter, we consider first, in Sect. 4.1, a detailed derivation of the Navier–Fourier initial–boundary–value problem for the Navier velocity... -
Aerothermodynamics, Nonlinear Acoustics and the Meteorological Equations
The study of low-Mach-number flows occurs in the general context of asymptotic modelling of fluid flows, and in a recent book (Zeytounian 2004, Chap.... -
Two‐Fluid Approach: Example of Awe's Model
Two‐fluid descriptions often use explicitly separate treatments for the conservation equations in each fluid, along with expressions for exchange... -
Conclusion, Future Modeling Trends
The relevance of this study stands not in the topics that have been discussed, since most of them have already been explored for many years now, but... -
Comparison of Single and Two‐Fluid Approaches
The results of the “0D„ analyses gathered in Tables 5.1 and 6.1 and discussed in Sects. 5.3 and 6.2 provide the basis for comparing Dam's к–ε and... -
Specific Treatment of Shocks: Constraints on Models1
Before examining the phenomenology of the interaction between a shock and turbulent or material heterogeneities, it is useful to recall that the... -
17 Uncertainty as Certaint
I am trying to make money in the biotech industry from complexity science. And I am doing it with inspiration that I picked up on the edge of... -
2 Surprises in a Half Century
Ilya Prigogine participated early in the organization of our meeting and was invited to give a keynote address. Due to poor health he...