Applied Mathematics and Computation

• We propose a new counting process called the Bell–Touchard process.
• We propose ...

The Poisson process is one of the simplest stochastic processes defined in continuous time, having interesting mathematical properties, leading, in many situations, to applications mathematically treatable. One of the limitations of ...

• A class of uncertain stochastic nonlinear systems with unknown parameter are firstly considered, which are more general and more practical than the nonlinear ...

In this paper, the dynamic event-triggered adaptive tracking control problem is investigated via backstepping technology for uncertain stochastic nonlinear systems. First, the stochastic nonlinear system with unknown parameter is ...

The literature on game-theoretic models of opinion dynamics in social networks mainly focuses on the Nash equilibrium, which reflects a competitive situation between influencing agents called players. In some real-world situations, ...

• Given a class of forbidden facial cycles of a graph G, we give a sufficient-necessary condition for that an α-orientation of G can be transformed into ...

Let G be a graph embedded on an orientable surface. Given a class C of facial cycles of G as a forbidden class, we give a sufficient and necessary condition such that an α-orientation (orientation with prescribed out-degrees) of G can ...

• The fixed/predefined-time lag synchronization issue of complex-valued BAM neural networks with stochastic effects is studied by utilizing the non-separation ...

This paper studies the fixed-time and predefined-time lag synchronization of a class of complex-valued BAM neural networks with random disturbances. Firstly, based on the non-separation method, some basic properties of sign function in ...

We investigate symmetric equilibria of mutual reinforcement learning when both players alternately learn the optimal memory-two strategies against the opponent in the repeated prisoners’ dilemma game. We provide a necessary condition ...

• In this paper, we use the occupancy method to show that n / 6 · G P ( 3 , 1 ) maximizes the number of independent sets in a claw-free cubic graph on n ...

Let G be a graph. An independent set of G is a subset of vertices no two of which are connected by an edge. Denote by I ( G ) the set of all independent sets of G. The independence polynomial of G is I ( G ; λ ) = ∑ I ∈ I ( G ) λ | I | ...

• A novel evolutionary mechanism for based on reputation consistent strategy times is proposed, in which the reputation income of each player is positive or ...

As we all know, the reputation has important influence on individual’s decision-making. How to effectively and objectively measure reputation is very important in based-reputation evolutionary game theory. In this paper, a novel ...

It is shown that every probability distribution with finite entropy can be characterized as the minimum relative entropy distribution respect to a given non-negative function within a non-trivial collection of probability ...

• Revisited small-time analysis for sorption in a glassy polymer.
• Initial ...

In this paper, a recent one-dimensional Stefan-type model for the sorption of a finite amount of swelling solvent in a glassy polymer is revisited, with a view to formalizing the application of the boundary immobilization method to ...

• A new approach of formation control is proposed for a multi-agent system with target geometric configuration.

Swarming motility arise very naturally in biological, physical, social sciences, etc. However, how to realize artificial intelligent self-organizing behavior is still an interesting and challenging task, especially for formation ...

• Differently from the existing works on connectivity-preserving consensus where the deterministic dynamics are investigated, stochastic system model is ...

Two adaptive fuzzy connectivity-preserving consensus control schemes, in continuous and event-triggered manners, are proposed for stochastic strict-feedback nonlinear multi-agent systems subject to unmeasured periodic disturbances. ...

• The design of data center networks (DCNs) represented by DCell networks is a hot research topic. DCell is an excellent network performing by using a large ...

In a simple non-complete graph G, an h-component cut is a vertex subset S of V ( G ) such that G − S has at least h components for any positive integer h. The h-component connectivity of G, denoted by κ h c ( G ), is the minimum ...

Portfolio selection in a periodic investment of securities is modeled using a multivariate Merton model with dependent jumps and an optimization framework is designed to maximize expected terminal wealth when portfolio risk is measured ...

• A w-coordinate system on twisted Hessian curves is generalized for differential group arithmetic.

Isogenies between elliptic curves have been the subject of recent study due to their significance in the post quantum cryptosystem based on isogeny. Various methods for faster isogeny computation have been proposed on different ...

• The proposed Prox-NPGA can handle the non-smooth term in the objective function.

In this paper, we study a class of distributed constraint-coupled optimization problems, where each local function is composed of a smooth and strongly convex function and a convex but possibly non-smooth function. We design a novel ...

• The (2; r)-choosability of planar graphs without 4-cycles or 5-cycles is proved for first time.

For a graph G and two positive integers t , r, a ( t , t + r )-list assignment of G is a function L that assigns a set of permissible colors L ( u ) to every vertex u such that | L ( u ) | ≥ t and | L ( u ) ∪ L ( w ) | ≥ t + r when u w ...

• Design of a disturbance estimator for a cascaded wave PDE-ODE system by ADRC method.

In this paper, we are concerned with a boundary stabilization problem of a cascaded wave PDE-ODE (partial differential equation-ordinary differential equation) system with velocity recirculation and matched disturbance. First, an ...

• An interval observer is, for the first time, designed for a time-delayed system with a multirate mechanism, in which an AETP is adopted to deal with possible ...

In this paper, an interval observer has been presented for a type of multirate time-delayed systems subject to measurement outliers under the adaptive event-triggered protocol (AETP). First of all, the multirate sampling system is ...

• A more general framework of a hybrid system is developed to characterize the overall system subject to switch-ing signals and delay-dependent impulsive ...

In this summary, for a kind of hybrid deterministic system, we emphasize the input-to-state stability (ISS) property. Meanwhile, the delay-dependent impulse and switching behavior are permitted to arise asynchronously. In other words, ...

• Parameter estimation of Fast Field Cycling NMR with quadrupolar enhancement region

Fast Field-Cycling Nuclear Magnetic Resonance relaxometry is a non-destructive technique to investigate molecular dynamics and structure of systems having a wide range of applications such as environment, biology, and food. Besides a ...

• We analyse the convergence in a balanced norm of the nonsymmetric interior penalty Galerkin (NIPG) method for a singularly perturbed reaction-diffusion ...

For the error analysis of singularly perturbed reaction-diffusion problems, the balanced norm, which is stronger than the usual energy norm, is introduced to correctly reflect the behavior of the layer. In this paper, we study the ...

• The phenomenon of randomly occurring false data injection attacks is considered in the design of a reduced-order filter for semi-Markovian jump systems with ...

This paper describes a mode-dependent reduced-order filtering problem for semi-Markovian jump systems with time-varying delay and external disturbance, where the measurement output is vulnerable to randomly occurring false data ...

• Characteristic feature of quantum mechanical systems holds for random signal.
• ...

In this paper, we establish two types of uncertainty principles for random signals. One is based on Heisenberg’s uncertainty principle for deterministic signal, and the other is Donoho and Stark’s uncertainty principle for ...