Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2020"

TL;DR: A new θ-SEIHRD model is developed, which takes into account the known special characteristics of this disease, as the existence of infectious undetected cases and the different sanitary and infectiousness conditions of hospitalized people, and includes a novel approach that considers the fraction of detected cases over the real total infected cases.

TL;DR: A (3+1)-dimensional Hirota-Satsuma-Ito-like equation is introduced based on the (2+1), and Backlund transformation and corresponding exponential function solutions are deduced by virtue of the Hirota bilinear form.

TL;DR: A new chaotic system generated from the simplest memristor chaotic circuit by introducing a simple nonlinear feedback control input that has infinitely many equilibria and abundant coexisting attractors is reported.

TL;DR: With symbolic computation, the multi-soliton solutions, rational solutions, lump solutions and interaction solutions to the cKP equation are derived based on its bilinear representation.

TL;DR: The complex structure-preserving method presented in this paper is proved as an effective approach to deal with the non-smooth coupling dynamic systems and the vibration and wave propagation characteristics revealed can be used to guide the structural design as well as the material selection for the tethered satellite system.

TL;DR: Using Lyapunov function and Homomorphic mapping theorem, sufficient conditions for the existence of unique equilibrium and global asymptotic stability of complex-valued systems are derived and Mittag-Leffler stability for BAM neural networks(BAMNNs) have been proposed when the nonlinear complex activation functions are bounded.

TL;DR: The research results demonstrate that the neural network with periodic attractors can induce abundant chaotic attractors by imposing electromagnetic radiation on its one neuron, and when this neuron is simultaneously stimulated via electromagnetic radiation and multi-level-logic pulse, the Neural network can produce complex multi-scroll attractors previously unobserved in Hopfield-type neural networks.

TL;DR: Some implications that emerge when attempting to frame Prabhakar’s theory within the program of general fractional calculus are discussed.

TL;DR: This paper presents a complementary case, not yet systematically addressed in the literature, where the low dynamic stiffness is achieved at large deflections, and a lower limit for the resonance frequency which bends to the lower frequencies may be derived.

TL;DR: In this paper, the authors focus on statistical predictions of COVID-19 infections performed by fitting asymptotic distributions to actual data, and find that predictions are characterized by large uncertainties at the early stages of the epidemic growth.

TL;DR: It is proved that the reaction-diffusion cholera model derived in bounded spatial domain with zero-flux boundary condition and general nonlinear incidence functions admits the global threshold dynamics in terms of the basic reproduction number ℜ0, which is defined by the spectral radius of the next generation operator.

TL;DR: A novel hybrid controller, which is composed of the event-triggered controller and the switching state-feedback controller, is designed and the global stochastic synchronization conditions in fixed time are achieved in the form of linear matrix inequalities (LMIs).

TL;DR: In this article, a general formulation for the optimal control problem to a class of fuzzy fractional differential systems relating to SIR and SEIR epidemic models is presented and tested with real data extracted from COVID-19 pandemic in Italy and South Korea.

TL;DR: The upwind scheme and a piecewise linear interpolation, are proposed to approximate the Coimbra variable-order fractional derivatives and integral term with kernel, respectively, via the Sinc collocation method.

TL;DR: The inverse scattering transforms and soliton solutions of both focusing and defocusing Hirota equations with non-zero boundary conditions (NZBCs) are investigated and obtained solutions are useful to explain the related nonlinear wave phenomena.

TL;DR: It is shown that three layers typically have opposite synchronization properties in the strong and weak coupling regimes, and the most synchrony is obtained when the weak coupling is accompanied with partial time delays in chemical communications.

TL;DR: This paper investigates fault-tolerant secure consensus tracking for delayed nonlinear multi-agent systems with deception attacks, uncertain parameters and actuator failure via impulsive control with some sufficient conditions for achieving mean-square bounded consensus (MSBC).

TL;DR: Results demonstrate that the energy harvesting performance of the proposed PEH could be effectively tuned by the pre-deformation of the spring, a criterion for solution stability analysis of congeneric nonlinear systems with coupled higher-order terms.

TL;DR: Analytically the influences of random fluctuations on a two-degrees-of-freedom (TDOF) airfoil model with viscoelastic terms are explored, indicating that the external random fluctuations have a remarkable influence on dynamics of the TDOF airfoilsmodel with vis coelastic material property.

TL;DR: The GrossBB algorithm, which is a generalization of the Branch-and-Bound (BB) algorithm, is introduced, able to deal with lower-bound and upper-bound estimates which involve infinite and infinitesimal numbers.

TL;DR: In this paper, the scattering between the non-topological kinks arising in a family of two-component scalar field theory models is analyzed and four distinct scattering channels are found: kink reflection (kinks collide and bounce back), one-kink (partial) annihilation, kink-antikink passage, total kink annihilation and bion formation.

TL;DR: Using Lyapunov method with graph-theoretic method and making use of the theory of complex functions, finite-time synchronization criteria for fractional-order complex-valued dynamical networks with multiple weights are established by using feedback control and adaptive control.

TL;DR: A (2+1)-dimensional fifth-order integrable model, the fifth member of the Kadomtsev-Petviashvilli hierarchy (KP5 equation) is investigated and various types of soliton molecules (soliton bound states) such as thesoliton molecules, breather molecules and breather-solitons molecules are presented.

TL;DR: The necessary and sufficient condition for persistence and extinction in the sense of time average is give for a special critical state and the intra-specific competition of two species are considered, providing a theoretical basis for the modeling of stochastic population models.

TL;DR: A novel bistable nonvolatile locally-active memristor model based on Chua's unfolding theorem is introduced to explore the influence of the local activity on the complexity of nonlinear systems.

TL;DR: Enough criteria in matrix measure form are derived which ensure the exponential stability of the system towards an equilibrium point for two classes of activation functions and the efficiency of the theoretical results has been illustrated by providing two numerical examples.

TL;DR: The multi-rogue waves which are featured with the interaction between several fundamental rogue waves are shown.

TL;DR: The integral matching is introduced to explain the integral transformation and shows that the grey prediction model whose nature is modelling the cumulative sum series with a differential equation proves to be equivalent to that modelling the originalseries with a reduced differential equation.

TL;DR: Simulation results indicate that evacuation efficiency does have a close relationship with the building visibility, guide quantity and exit width, and the effectiveness of exit selection method proposed in this paper can be explained.

TL;DR: This paper proposes a delayed discrete SIR disease model with a saturate incidence rate and extends it to a patchy environment by taking the dispersal of susceptible individuals from one patch to the other into consideration, and establishes the global threshold dynamics by the method of Lyapunov functionals.