Kengne, JacquesKoinfo, Jean BaptisteRajagopal, KarthikeyanRamadoss, Janarthanan...
21页查看更多>>摘要：The study of complex nonlinear phenomena certainly represents a very hot ongoing research topic owing to recently published works. While a large number of contributions deal with systems with symmetry, very few works are concerned with those without any symmetry property. In this contribution, we introduce a novel asymmetric jerk system whose nonlinearity is in the form of a six-order Tchebytchev polynomial of the fundamental variable. The new system distinguishes by the presence of six equilibrium points symmetrically distributed along the x-axis. Three of these points are always unstable (regardless the values of parameter) while each of the three others undergoes Hopf type bifurcation at three different critical values of the control parameter resulting to self-excited coexisting behaviors such as: (i) a limit cycle and a pair of stable fixed points; (ii) a pair of limit cycles and a stable fixed point; (iii) a stable fixed point, a limit cycle and a chaotic attractor; just to cite a few. These features are studied by combining both analytical and numerical methods. More importantly, various parameter ranges are depicted where the new jerk system with Tchebytchev polynomials demonstrates extremely complex and striking nonlinear patterns such as antimonotonicity, hysteresis and coexisting bifurcation branches. These two latter properties give rise to multiple (i.e. two, three or four) coexisting (periodic and chaotic) attractors. Cross sections of the basins of attraction are provided to illustrate the magnetization of the state space caused by the various competing dynamics. The control of multistability in the new system is achieved via linear augmentation scheme. The practical feasibility of the new system is supported by a series of PSPICE simulations utilizing an electronic analogue of the proposed jerk system. The combination of features found in the new jerk system with Tchebytchev polynomials are rarely reported and thus merits dissemination. (C) 2021 Elsevier B.V. All rights reserved.
原文链接:
NSTL
Elsevier
Ke, JianhongLi, Ping-PingLin, Zhenquan
14页查看更多>>摘要：We study the evolutionary snowdrift game with an update rule of dissatisfaction-driven replicator on regular lattices, in which there exists a threshold value K of dissatisfaction dividing the update rule into unconditional imitation and probability replication. It is found that under the random initial state with f(c0) = 0.5, the equilibrium cooperation frequency fc against the cost-to-benefit ratio r has a step-like piecewise structure when K is small and then neighboring plateaus gradually connect together as K increases, and finally f(c) will take the typical continuous form observed in the game system with the conventional replicator. By analyzing the stability and microscopic evolution of local strategy configurations, we interpret qualitatively both the emergence and disappearance of discontinuous transitions at several critical values of r. And we also enumerate some snapshots of spatial patterns of strategy distribution to exhibit how the competitive system evolves from one dynamical behavior to another. Numerical simulations show that the system can evolve to a mixed state with cooperators and defectors coexisting in the case of r < 2/3, while it can certainly end up in a pure phase only with D agents in the case of r > 3/4. We further investigate the dynamics of our model by the master equation approach and then calculate the numerical computation results of f(c), in perfect accord with those obtained by numerical simulations. (C) 2021 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Lyu, ZelinHu, XiaojianZhang, FangLiu, Tenghui...
19页查看更多>>摘要：Nowadays, in order to improve the traffic conditions in mountainous areas, the demand of climbing lanes is increasing. In this paper, car-truck heterogeneous traffic flow characteristics on the highway with a climbing lane are studied up based on an improved Kerner-Klenov-Schreckenberg-Wolf (KKSW) cellular automation (CA) model. To depict the speed characteristics of vehicle's climbing and lane-changing behaviors, additional evolution rules for trucks are introduced into the KKSW model. Specifically, the motion of trucks climbing on the slope is described as a deceleration process and an equilibrium process. Furthermore, we define the probability of a truck driver using the climbing lane as a function of the observed real-time occupancy on it. We have found that in accordance with Kerner's theory, traffic breakdown is an F -> S transition that occurs in metastable free flow with respect to the F -> S transition. When the traffic demand increases, the bottleneck appears due to the merging of trucks from the climbing lane to the inner lane. Localized synchronized flow patterns (LSP) emerge on both the inner and outer lanes. When traffic demand increases further, wide moving jams emerge in synchronized flow and general pattern (GP) appears on the inner lane, whereas synchronized flow patterns remain on the outer lane only. In addition, the macroscopic traffic flow characteristics under varying truck percentages are analyzed. We have found that the improving effect of climbing lane on traffic efficiency is closely related to the truck percentage. (C) 2021 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Bazeia, D.Bongestab, M.de Oliveira, B. F.
11页查看更多>>摘要：This work deals with the influence of the neighborhood in simple rock-paper-scissors models of biodiversity. We consider the case of three distinct species which evolve under the standard rules of mobility, reproduction and competition. The rule of competition follows the guidance of the rock-paper-scissors game, with the prey being annihilated, leaving an empty site in accordance with the May-Leonard proposal for the predator and prey competition. We use the von Neumann neighborhood, but we consider mobility under the presence of the nearest, next nearest and next to next nearest neighbors in three distinct environments, one with equal probability and the others with probability following power law and exponential profiles. The results are different, but they all show that increasing the neighborhood increases the characteristic length of the system in an important way. We have studied other models, in particular the case where one modifies the manner a specific species competes, breaking the cyclic evolution and unveiling the interesting result in which the strongest individuals may constitute the less abundant population. (C) 2021 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Fan, HongguangShi, KaiboZhao, Yi
14页查看更多>>摘要：The pinning impulsive cluster synchronization problem of uncertain complex community networks with impulsive effects, internal delay and coupling delay is studied in this paper. Particularly, the local dynamics of nodes in different communities are assumed to be nonidentical and two kinds of delays are all time-varying. A novel impulsive comparison principle with multiple time-varying delays is established to conquer the difficulties caused by various delays and impulsive effects. Based on the Lyapunov stability theory and pinning impulsive control techniques, some sufficient conditions depending on impulsive intervals and delays are derived to guarantee cluster synchronization of the community networks by pinning a small fractional of network nodes. The upper bound of the internal delay and coupling delay can be estimated by the obtained conditions. The theoretical results in this paper can be seen as extensions of the previous related works. Finally, a numerical simulation is presented to illustrate the validity of our results. (C) 2021 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
