セイタイ リキガクケイ ニオケル カオステキ キョドウ ノ カイセキ

A first order nonlinear difference equation which describes the transition of biological populations are considered. Such a dynamics has the exquisite fine structure of the chaotic behaviour. The purpose of this paper is to clarify the mechanism of occurrence of chaotic behaviour

クブン センケイ セイギョ システム ニオケル ブンキ ゲンショウ ト カオステキ キョドウ

In this paper, the principal line of attack is to study the bifurcation and chaotic phenomena in the motion of piecewise linear control systems. By invoking to the alternative method for ordinary differential equations, it is shown that the subharmonic bifurcation occurs succesively and leads to chaotic motion for the systems considered here. To illustrate this scenario, the numerical results are demonstrated

ニジゲン リサン リキガクケイ ノ フキソク ゲンショウ

Random behaviours which arise in two-dimensional discrete dynamical systems are considered via the analytical expression of invariant manifold associated with the dynamical systems. In this paper, the mechanism of chaotic behaviour are clarified and conditions for chaotic behaviour are also obtained

ダイリ セイヤクホウ ノ フクスウ セイヤク ヒセンケイ ナップザック モンダイ エノ テキヨウ

It is difficult to solve a class of multi-dimensional nonlinear knapsack problem by optimal solution method. We apply surrogate constraints method to a multi-dimensional nonlinear knapsack problem. Introducing a surrogate multiplier, the multi-dimensional nonlinear knapsack problem can be translated to the surrogate problem, which is one-dimensional nonlinear knapsack problem. The optimal solution of the surrogate problem provides upper bounds of the optimal value of given problem. It is important to obtain upper bounds of the optimal value of given problem in engineering application. The surrogate problem can be solved efficiently by Modular Approach. The computational experiments show that our method gives a high quality upper bonds of the optimal value of given problem

フクスウ セイヤク ヒセンケイ ナップザック モンダイ ニ タイスル スマート グリーディホウ

Smart Greedy procedure is proposed for solving multi-dimensional nonlinear knapsack problems. Introducing a surrogate multiplier, the multi-dimensional nonlinear knapsack problem can be translated to a surrogate problem, which is an one-dimensional nonlinear knapsack problem. With the surrogate multiplier that is a centroid of the polyhedron of surrogate multiplier, the algorithm MA solves the surrogate problem, and then the algorithm COP optimizes the surrogate multiplier by reducing the polyhedron, repeatedly, untill the polyhedron becomes empty. Smart Greedy generates the Smart Greedy solutions of surrogate problems with the optimal surrogate multiplier. The solutions obtained are feasible to original multi-dimensional nonlinear knapsack problems. The computational experiments show that the proposed method provides high quality solutions

キョウタイイキ フキソク ザツオン オ ウケル ヒセンケイ リキガクケイ ノ カオステキ キョドウ ニツイテ

In this paper, the principal line of attack is to study the chaotic behaviour in nonlinear dynamical systems with narrow-band random disturbance. By extending the Mel\u27nikov function in deterministic systems to the one in stochastic systems, the random disturbance to the occurrence of chaotic behaviour is studied and the numerical experiments are deronstrated