Information priorities of strategic management for sustainable development of the city by Sulimin Vladimir, Shvedov Vladislav, Lvova Maya

“…For solving economic and social problems, the authors suggest the priority implementation trends designed for the municipal government, including a discrete system based on the coding and broadcasting information data methods.…”
Get full text

Stability analysis of a Galerkin/Runge-Kutta Navier-Stokes discretisation on unstructured tetrahedral grids by Giles, M

“…Using a suitable definition of the "perturbation energy" it is shown that the energy is monotonically decreasing for both the original p.d.e. and the semi-discrete system of o.d.e.'s arising from a Galerkin discretisation on a tetrahedral grid. …”

A universal route to pattern formation in multicellular systems by Asllani, M, Carletti, T, Fanelli, D, Maini, P

“…A general framework for the generation of long wavelength patterns in multi-cellular (discrete) systems is proposed, which extends beyond conventional reaction-diffusion (continuum) paradigms. …”

Asymptotic analysis of a dynamical system arising in thermoelastic contact by Howell, P

“…We consider a simple dynamical model for a discrete system of N metal pins in frictional thermoe lastic contact with a moving surface. …”

Asymptotics of Regular and Irregular Solutions in Chains of Coupled van der Pol Equations by Sergey Kashchenko

“…This allows moving from a discrete system of equations to the use of a continuity argument and obtaining an integro-differential boundary value problem as the initial model. …”
Get full text

A New Discrete Integrable System Derived from a Generalized Ablowitz-Ladik Hierarchy and Its Darboux Transformation by Xianbin Wu, Weiguo Rui, Xiaochun Hong

“…We find an interesting phenomenon that the discrete system appearing in a reference can be reduced to the old integrable system given by Merola, Ragnisco, and Tu in another reference. …”
Get full text

Modeling of discrete fracmemristor and its application by S. He, K. Sun, Y. Peng, L. Wang

“…Based on the fractional-order difference and the mathematical model of the charge-controlled memristor, the discrete fracmemristor is designed where the amount of charge is determined by a fractional-order discrete system. In the numerical simulations, it shows that the pinched hysteresis loops are observed, which imply that the proposed memristor satisfies the definition of the memristor. …”
Get full text

Spectral method for one dimensional Benjamin-Bona-Mahony-Burgers equation using the transformed generalized Jacobi polynomial by Yu Zhou, Yujian Jiao

“…The advantages of our new approach are as follows: (i) the use of the transformed generalized Jacobi polynomial simplifies the theoretical analysis and brings a sparse discrete system; (ii) the numerical solution is spectral accuracy in space. …”
Get full text

Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences by Yongfang Wang, Akbar Zada, Nisar Ahmad, Dhaou Lassoued, Tongxing Li

“…We prove that the discrete system ζn+1=Anζn is uniformly exponentially stable if and only if the unique solution of the Cauchy problem ζn+1=Anζn+eiθn+1zn+1,  n∈Z+, ζ0=0, is bounded for any real number θ and any p-periodic sequence z(n) with z(0)=0. …”
Get full text

Period-doubling bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with Allee effect and cannibalism by Zhuo Ba, Xianyi Li

“…The outcome of the study reveals that this discrete system undergoes various bifurcations including period-doubling bifurcation and Neimark-Sacker bifurcation.…”
Get full text

A method for constructing an optimal control strategy in a linear terminal problem by Dzmitry A. Kastsiukevich, Natalia M. Dmitruk

“…This paper deals with an optimal control problem for a linear discrete system subject to unknown bounded disturbances, where the control goal is to steer the system with guarantees into a given terminal set while minimising the terminal cost function. …”
Get full text

A Two-Dimensional port-Hamiltonian Model for Coupled Heat Transfer by Jens Jäschke, Matthias Ehrhardt, Michael Günther, Birgit Jacob

“…Finally, we apply a simple spatial discretization to the system to investigate the properties of the resulting finite-dimensional port-Hamiltonian system and to determine whether the order of coupling and discretization affect the resulting semi-discrete system.…”
Get full text

Preconditioning harmonic unsteady potential flow calculations by Laird, A, Giles, M

“…Both theory and numerical results show that for a model 1D Helmholtz test problem the preconditioner clusters the discrete system's eigenvalues and lowers its condition number to a level independent of grid resolution. …”

Approximate solutions to the Allen–Cahn equation using rational radial basis functions method by M. Shiralizadeh, A. Alipanah, M. Mohammadi

“…Then we apply an explicit, fourth-order Runge–Kutta method to advance the resulting semi-discrete system in time. It is well known that the A.C equation has a nonlinear stability feature, meaning that the free-energy functional is reduced by time. …”
Get full text

Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations by Roberts Jason A, Shaikhet Leonid E

“…The areas of the regions of asymptotic stability for the class of methods considered, indicated by the sufficient conditions for the discrete system, are shown to be equal in size to each other and we show that an upper bound can be put on the time-step parameter for the numerical method for which the system is asymptotically mean-square stable. …”
Get full text

Pair-production of cusps on a string in AdS3 by David Vegh

“…The solutions are segmented strings. In this discrete system, pair-production leads to a complete evaporation of the shG region. …”
Get full text

A new approach to convergence analysis of linearized finite element method for nonlinear hyperbolic equation by Junjun Wang, Lijuan Guo

“…The boundedness of the solutions about the time-discrete system in H2 $H^{2}$-norm is proved skillfully through temporal error. …”
Get full text

An Adaptive in Space, Stabilized Finite Element Method via Residual Minimization for Linear and Nonlinear Unsteady Advection–Diffusion–Reaction Equations by Juan F. Giraldo, Victor M. Calo

“…We propose a residual minimization strategy that uses an ad-hoc modified discrete system that couples a time-marching schema and a semi-discrete discontinuous Galerkin formulation in space. …”
Get full text

The dynamics of synchronization of two-stage van der Pol generator by Valery V. Zaitsev, Alexander V. Karlov

“…The model was developed on the basis of the principle of compliance within the framework of the method of slowly changing amplitudes of characteristics of a discrete system with characteristics of an analog prototype. …”
Get full text

A Novel Discrete-Time Leslie–Gower Model with the Impact of Allee Effect in Predator Population by S. Vinoth, R. Sivasamy, K. Sathiyanathan, B. Unyong, R. Vadivel, Nallappan Gunasekaran

“…The flip bifurcation and Neimark–Sacker bifurcation are the most common routes to the chaotic orbit in the discrete system. Moreover, we utilize state feedback, pole placement, and hybrid control methods to control the chaos in the system. …”
Get full text