TL;DR: Based on Sprott D system, a simple three-dimensional autonomous system with no equilibria is reported in this article, which is demonstrated to be chaotic in the sense of having a positive largest Lyapunov exponent and fractional dimension.

TL;DR: In this article, the authors analytically propose vector financial rogue waves of the coupled nonlinear volatility and option pricing model without an embedded w-learning, and exhibit their dynamical behaviors for chosen different parameters.

TL;DR: In this article, the authors consider the family of 2nd order rogue wave rational solutions of the nonlinear Schrodinger equation with two free parameters and show that the three components of the triplet are located on an equilateral triangle, thus maintaining a certain symmetry in the solution.

TL;DR: In this article, the band gap mechanisms of a uniform string with periodically attached spring-mass resonators are investigated. But the authors focus on the band-gap mechanism of a simple locally resonant continuous elastic system whose band gap mechanism is basic to more general and complicated problems.

TL;DR: In this article, the perturbed nonlinear Schrodinger's equation (NLSE) with Kerr law nonlinearity was investigated and all explicit expressions of the bounded traveling wave solutions for the equation were obtained by using the bifurcation method and qualitative theory of dynamical systems.

TL;DR: In this paper, the correlation between the velocity helicity and the energy backscatter is proved in a DNS case of 256 3 -grid homogeneous isotropic decaying turbulence.

TL;DR: In this paper, a new non-lane-based lattice model is proposed by incorporating the lateral separation effects of the lane width in traffic flow and the stability condition of the extended model is obtained by using the linear stability theory.

TL;DR: In this article, a combination of molecular dynamics, molecular structural mechanics, and finite element method is employed to compute the elastic constants of a polymeric nanocomposite embedded with graphene sheets, and carbon nanotubes.

TL;DR: In this paper, a new lattice model with the consideration of the driver's forecast effects (DFE) is presented, which can improve the stability of traffic flow by considering DFE.

TL;DR: In this article, the crossplane thermal conductivities of multilayer graphene were investigated using nonequilibrium molecular dynamics simulation and it was found that the interfacial thermal resistance in multillayer graphene structures is strongly layer number dependent.

TL;DR: In this paper, a theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate is presented, where the authors identify the associated conserved quantities and illustrate the integrability of the ensuing dynamics.

TL;DR: In this article, a car-following model with consideration of roadside memorial is proposed and the numerical results show that the proposed model can qualitatively describe the impacts of roadside roadside memorial on traffic flow and the traffic risk coefficient.

TL;DR: In this article, the application of single-layered graphene sheets as mass sensors in detection of noble gases via a vibration analysis of graphenes using molecular dynamics simulations is investigated.

TL;DR: A systematic two-parameter study of the organization of mixed-mode oscillations and period-adding sequences observed in an extended Bonhoeffer–van der Pol and in a FitzHugh–Nagumo oscillator concludes that the Stern–Brocot tree is more general than the Farey tree.

TL;DR: In this paper, the axial instability of double-nanobeam-systems was considered and the nonlocal elasticity was used to account for the small-scale effects arising at the nanoscale.

TL;DR: Based on finite-time stability theory, a simple adaptive control method for realizing chaos synchronization in a finite time is proposed in this article, which is not only simple, but could also be easily utilized in application.

TL;DR: In this article, the dynamic behaviors for a class of memristor-based Hopfield networks are analyzed and sufficient conditions are obtained to ensure the essential bound of solutions and global exponential stability of the Hopfield network by using analysis approaches.

TL;DR: In this paper, both in-plane and out-of-plane guided wave signals in a thin plate with local resonators were studied numerically and experimentally, and the connection between the local resonance in the thin plate and its wave attenuation mechanism was discussed.

TL;DR: In this paper, an extensive numerical search of jerk systems of the form x + x ¨ + x = f ( x ˙ ) revealed many cases with chaotic solutions in addition to the one with f( x ´ ) = ± x ǫ 2 that has long been known.

TL;DR: The contribution of magnetic field, laser beamwidth, and amplitude and periodicity of the density ripples is discussed for the efficient THz radiation generation and the efficiency on the order of 10(-3) or larger can be achieved in the present scheme.

TL;DR: A new protocol for quantum anonymous voting having serious advantages over the existing protocols is proposed, which protects both the voters from a curious tallyman and all the participants from a dishonest voter in unconditional way.

TL;DR: It is demonstrated that the synchronization performance is sensitively affected by the control gain, the inner-coupling matrix and the network topological structure.

TL;DR: In this article, the crystal structures of synthesized diamond-like BC3 (d-BC3) with particle swarm optimization (PSO) algorithm combined with first-principles structural optimizations were explored.

TL;DR: In this article, a systematic study of fullerene hemisphere capped finite SiC nanotubes is presented, where the tubes are spin optimized using the hybrid functional B3LYP (Becke's three-parameter exchange and the Lee-Yang-Parr correlation functionals) and an all electron 3-21G basis.

TL;DR: In this paper, an electrostatic-based vibration energy scavenging scheme using a two-layer configuration made of a high permittivity material and a low layer of variable thickness is presented.

TL;DR: In this article, the optical absorption coefficients and changes in the refractive index in GaAs/AlGaAs, disk shaped quantum dots (DSQD) with simultaneously applied laser and magnetic field are studied in detail.

TL;DR: In this paper, a new lag projective synchronization for fractional-order chaotic (hyperchaotic) systems is proposed, which includes complete synchronization, anti-synchronization, lag synchronization, generalized projective synchronization.

TL;DR: In this article, the synchronization issues of complex dynamical networks with switching topology were investigated by constructing a common Lyapunov function and showing that local and global synchronization for a linearly coupled network with switch topology can be evaluated by the time average of second smallest eigenvalues corresponding to the Laplacians.