Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2005"

TL;DR: In this article, the authors considered a predator-prey model with a Holling type II response function incorporating a prey refuge and provided mathematical analysis of the model and discussed some significant qualitative results that are expected to arise from the interplay of biological forces.

TL;DR: Simulation results show that the proposed Cryptosystem requires less time to encrypt the plaintext as compared to the existing chaotic cryptosystems and further produces the ciphertext having flat distribution of same size as theplaintext.

TL;DR: In this article, a local theory of non-smooth dynamical systems on connectable and accessible sub-domains is developed, and the properties for separation boundaries based on the characteristics of flows are determined, and sliding dynamics on a specified separation boundary is introduced.

TL;DR: In this article, the authors study the Zakharov-Kuznetsov (ZK) equation and two of its modified forms and employ the sine-cosine algorithm to back up their analysis.

TL;DR: In this paper, the Lagrangian technique is used to compute particle dispersion in a two-dimensional ventilated cavity, and the instantaneous air velocity field at the particle's location is obtained by proper orthogonal decomposition (POD).

TL;DR: The results show that the method is able to distinguish between runaway and non-runaway situations and it does not produce false alarms during controlled heating/cooling experiments.

TL;DR: In this paper, a food web consisting of two independent preys and a predator is modeled incorporating modified Holling type-II functional response, and necessary and sufficient conditions for persistence of the food web are obtained.

TL;DR: In this paper, an h-adaptive mesh refinement is presented based on the gradient of deformation in the modeling of localization due to material instability, where the governing equations are regularized by adding rotational degrees-of-freedom to the conventional degrees of freedom, and a strategy using element elongation is applied to compute the distribution of required element size using the estimated error distribution.

TL;DR: In this article, the explicit solutions to the higher order modified Korteweg-de Vries equation with initial condition were calculated by using the Adomian decomposition method.

TL;DR: This algorithm overcomes any Hamming-cliff phenomena in existing genetic methods, and it is very efficient for optimizing nonlinear models compared to existing genetic algorithms and other traditional optimization methods.

TL;DR: In this paper, the physical structures of nonlinear dispersive variants of the Benjamin-Bona-Mahony equation have been analyzed and the qualitative change in the physical structure of solutions depends strongly on whether the exponents of the wave function u(x, t) whether it is positive or negative, and on the speed c of the traveling wave as well.

TL;DR: In this paper, all similarity solutions of a boundary value problem for a nonlinear diffusion equation arising in the study of a charged power-law non-Newtonian fluid through a time-dependent transverse magnetic field were classified.

TL;DR: It is shown that the results obtained with the proposed FEM are very close to those given by the widely used Preissmann scheme, indicating that it is an effective method to model flows in open channels.

TL;DR: In this article, a closed loop monodromy matrix of the LTPD system is obtained symbolically in terms of controller parameters using shifted Chebyshev polynomials, which is a finite dimensional approximation of an infinite dimensional operator.

TL;DR: In this paper, the authors studied the nonlinear dispersion of new variants of the KdV and the KP equations with positive and negative exponents, and revealed compactons, solitons, solitary patterns and periodic solutions.

TL;DR: In this article, the authors presented an approximate analytical one-term Galerkin solution for the problem of nonlinear deflection, thermal buckling and natural frequencies of a three-layer thin circular plate made of an isotropic elastic core with piezoelectric layers bonded to its faces.

TL;DR: In this article, a discrepancy principle is proposed and proved for nonlinear monotone Cauchy problems, where the stopping time is defined as a number tδ such that limδ→0∥uδ(tδ)−y∥=0 and lim δ→ 0t∞.

TL;DR: In this article, an extension of the semi-discretization method to stochastic systems with state feedback is developed, where the second order moments are mapped by using the exact drift mapping and direct Ito integration.

TL;DR: In this article, an active active control algorithm for manipulating wake flows past a solid cylinder in an electrically low-conducting fluid (e.g., seawater) is presented.

TL;DR: A general method for the control of linear time-periodic systems employing symbolic computation of Floquet transition matrix is considered in this paper, where a combination of a feed-forward controller and a feedback controller is achieved through symbolic computations of fundamental solution matrix in terms of unknown control gains.

TL;DR: In this article, a variable-coefficient balancing-act method based on Mathematica was used to obtain new types of solitary wave solutions to the generalized Benjamin-Bona-Mahony (BBM) equation and the generalized Burgers-Fisher (BF) equation.

TL;DR: In this article, the authors present theoretical and numerical aspects of the behavior of spatial trusses undergoing large displacements and strains, allowing for the development of finite plastic strains and damage.

TL;DR: In this article, the problem of selective harvesting in a ratio-dependent predator-prey fishery with both the predator and the prey obey the logistic law of growth is studied.

TL;DR: In this article, a numerical simulation of the dynamic behavior of a railway wheelset is presented, where the contact forces between the wheel and the rail are estimated using Johnson and Vermeulen theory of creepages.

TL;DR: In this article, one-dimensional heat equations with a non-linear heat source are obtained using variants of the Adomian decomposition method, where both the temperature and the heat flux are given at a single boundary, and the given quantities may be any infinitely differentiable functions satisfying certain conditions.

TL;DR: In this article, a numerical study of homogeneous turbulent shear flow and turbulent flow past a backward-facing step with a few linear and non-linear turbulence models is presented, and the capability of capturing the non-equilibrium effect of turbulence and turbulence anisotropy based on these models is assessed in detail.

TL;DR: In this article, a non-linear static analysis of moderately thick sector plates under uniformly distributed loading is presented, where the first-order shear deformation theory and Von Karman type nonlinearity are developed and expressed in terms of displacement components.

TL;DR: In this article, a global convergence theorem is proved for DSM for the ill-posed operator equation B(u) − f = 0 with monotone C loc 2 operators B.

TL;DR: In this paper, a Takens-Bogdanov bifurcation analysis of a simple electronic device, with only one nonlinearity, exhibiting complex dynamics is presented.