Various theories have been proposed to analyze Behaviors in the international arena. Some theories, such as mainstream theories, are influenced by the linear approach of classical science, considering the international system as mechanical, closed, and far from interaction. Others, such as complex systems theory, considered the concept of nonlinear relationships and interaction used in the analysis of biological systems to explain the Behavior of the international system and tried to explain human Behavior as a biological system. Interaction is the main concept in explaining the Behavior of natural and living systems that causes Chaotic Behaviors. Because the concept of interaction in human systems, as the highest example of biological systems due to the power of thinking, is a different concept. The purpose of this article is to introduce the interaction in the international system with features,Flow-creation and interpretation of information, purposefulness, sensitivity to the initial condition and impact and effectiveness. Studies show that due to the differences between human interaction and the interaction of other living organisms, Chaotic Behaviors in the international system have characteristics,Simplicity in complexity, certainty in uncertainty, and order in disorder.

In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and Chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of this proposed method is proved by Barbalate’s lemma. Numerical Simulation is provided for illustration and verification of the proposed method.

Introduction: Geomorphology usually described as essential to the past, present and future prediction of nature's processes and estimate pace of environment changes. On both sides of Zanjan-Rud plains extended that covered with quaternaries alluvial sediments. The area appearance is a in a way that rivers on upstream of both sides should lead to higher elevation. But in parts of the southwest of Zanjan-Rud plains part front Mountain rivers water south of Zanjan parallel with the front part of the heights of the mountains leads to the Ghezel owzan. Rivers Chaotic Behavior resembles the appearance of the area so that Disneyland has created forms that look like they emphasized their dominance Neotectonic processes. Land forms created in another part of the basin are not similar to works of the old lake terraces. Although at first sight this Landforms evidence of the activities area so that SATARI Neotectonic (2017) is known which formed the basis of the Neotectonic landforms and introduced analyze the indexes of the terms tectonically active basins has morphotectonic but Land forms is not the tectonic. the result end Although the possibility of tectonic activity is also According to faults in the area but the main factor in the formation of landforms function of changes in the Quaternary river to Neotectonic activities. Such conditions cause Chaotic Behavior quotation was Zanjans Talkheh-Rud does apply during the Quaternary. Materials & Methods: First this Chaotic Behavior Study, the area Intended was determined from DEM 30 * 30 areas. For the past topography simulation was Digital Contour lines the equilibrium by Pixel to code software, and in different parts without equilibrium of Contour elevation lines, reconstituted on the basis of equilibrium line elevation. The phenomenon Direction captured of deviation and the river is now flowing in them was removed, in Table specifications latitude and longitude in Surfer software and specification X, y, Z reconstruction topographic, entered its output in software Global mapper and the spatial possible Rebuilding for past River Basin rivers. With longitudinal and transverse profiles and topographies of waterways in the direction of the current and was obtained previous simulations differences in altitude are and the rate of erosion. Referring to the field work and correct errors of interpretation and analysis was performed. Discussion of Results & Conclusions: Field studies indicate that evidence of deviation in bondage or topographic maps have been reflected as follows: 1-changes the direction at an angle of 90 degrees or greater along the rivers. 2-There are coarse-grained alluvial deposits in the river upstream, elementary and middle part is the source of the water, sediment and the final or the coastal route, sometimes in the midst of the water, and they are of record sediments. 3-A basin over time almost is stream symmetric. it means a left bank and right in time is equal and symmetrical. Tectonic may be due to disruption of such a situation; but when one side has no river stream a basin as a significant and insignificant area of study changed in the river. Stream Shorter towards the other side of the river indicate redirection of the river. 4-The heigh difference is inevitable in the coastal river basins; but when the difference in altitude along the channel length less and not diagenesis alluvial deposits in the river water sharing is indicative of a change to the track previous. 5-Contours with deep pulses or deep sinuses between a smooth contour and downstream to a simple sinus uniform lithology of a change of control over the area due to regressive erosion base level changes due to the redirection of the river. With the changes of the base level of Ghezel owzan, retrogressive erosion dominant and shed on a river with very small area of basin along Zanjan-Rud to Ghezel owzan. and could be a part of divert northern slopes of the mountains south of Zanjan-Rud and lead to Gezel owzan. And create a new river that termed Talkhe Rud. A 110-square-kilometer alluvial fan testator Chaotic Behavior and alluvial plain series fans interlocking type which no upstream basin has any control on it. Shorter length of stream at one side of the river, the difference of high Elevation difference between river dividing line water on both sides existence of alluvial sediment not digenesis in Water dividing line, rivers 90 degrees direction change contours With deep pulses within and downstream of the smooth curve are simple sinus to a change of river courses.

Large amplitude inter-well oscillations in bi-stable energy harvesters have made them a proper energy harvesting choice due to a high energy generation. However, the co-existence of the Chaotic attractor in these harvesters could essentially decrease their efficiency. In this work, an algorithm for detecting chaos in bistable energy harvesters based on a data-gathering algorithm and estimating the largest Lyapunov exponentis investigated. First, a simple model of axially-loaded non-linear energy harvesters is derived. This model is derived using the Euler-Bernoulli beam theory and the Assumed Mode method considering the Von-Karman non-linear strain-displacement equation. The harvester's numerical simulation results are used in order to test the algorithm's efficiency and accuracy in identifying the Chaotic response. The results obtained show the algorithm's success in detecting chaos in such systems with a minimum possible calculation cost. The effect of noise on the algorithm's performance is also investigated, and the results obtained show an excellent robustness of the algorithm to noise. It can diagnose the harvester's Chaotic or harmonic Behavior with noisecontaminated data with 10% noise density. The comparison between this algorithm and the Wolf's method show a relatively less computation time (up to 80%) to detect chaos with a reasonable accuracy.

The paper reports subharmonic and Chaotic operation in one member of a new double channel resonant DC-DC converter family. The converter can operate both in symmetrical and in asymmetrical mode. Our investigation is restricted to the buck configuration in symmetrical operation.After a brief summary of the configuration and its basic operation the paper is concerned with some nonlinear phenomena of the output voltage control loop of the resonant buck converter. The nonlinearity is due to the dependence of the turn-on time of the controlled switches on a system state variable. The feedback controlled converter exhibits rather strange Behavior, which is studied by computer simulations. As a result of the switching train our nonlinear dynamic system can be in periodic, subharmonic and Chaotic state reached by a period doubling scenario. The paper presents a number of simulations results of this Behavior in form of time functions, bifurcation diagrams and Poincaré maps.The analysis presented in the paper allows a practical overall picture of the converter Behavior, to help the designing engineer and to search for stable periodic regions and settings.

This paper investigates the effect of structural damping on the Chaotic Behavior of nonlinear panels in supersonic flow. The nonlinear governing equations, based on Von Karman’s large deflection of isotropic flat plates, are considered with structural damping. A first order piston theory is utilized for aerodynamic panel loadings. The governing equation includes the effect of constant axial loading in the panel middle surface plus a static pressure differential. The Galerkin approach is used to transform the nonlinear governing equations into a set of nonlinear ordinary differential equations. The resulting system of equations is solved through a numerical integration scheme. Static and dynamic bifurcation boundaries as well as panel limit cycles are determined for various structural damping coefficients. Chaotic analysis is performed using several criteria, results indicate that structural damping highly influences the panel stability boundary and limit cycle amplitude as well as the domain of the Chaotic region.

The presentation of new neuronal models to simulate cognitive phenomena in the brain has attracted the research interests in recent years. In this study, a new neural model based on the Chaotic Behavior of weights of artificial neural networks during training by back-propagation algorithm is presented. This model is the first discrete neuronal model with learning ability and shows complex and Chaotic Behaviors. The learning ability of this model has enabled it to simulate cognitive phenomena such as neuronal synchronization in near-realistic conditions. The model, which is derived from a simple three-layered feed-forward neural network, has several coexisting attractors that make learning possible in various basins of attraction. The study of model parameters shows that bifurcation occurs not only by changing the learning rate, but also external stimulation can change the model Behavior and bifurcation pattern. This point that can be used in modeling and designing new therapies for cognitive disorders.

This paper is an endeavor to picture excessive population threats to the resiliency of a large metropolitan area. By employing an existing evolutionary model of traffic flow on a small expository network, we show how Chaotic situations occur at certain demand and supply parameter values, and try to address the questions: How may one determine city population capacity for its transportation network, what happens if the city passes this limit, or how may one return the city to a stable situation when it runs into unstable or Chaotic situations. Under certain assumptions, the paper designs a simulation experiment to revisit the phenomenon discovered by Greenshields in 1934, but for a transportation network in a large city. A flow simulation shows that very small changes in the demand and supply of the network result in large variations in the throughput of the network, such that the time series of the latter values to an external observer are Chaotic (with positive Lyapunov exponent). The limit to the resiliency of the city from the standpoint of its transportation network capacity is, then, estimated by a value for the city’s population. It is then argued how to take the network out of this situation.

The present study aims to explore the effect of factors beyond financial and accounting variables on sales outsourcing in ZamZam Company. The purpose of study is to investigate the level of compatibility and allegiance of product's outsourcing pattern under a Chaotic situation. The data were collected by a questionnaire which was distributed after assessing its reliability and validity (each with a value of higher than 0.70). The sample under study included all managers and employees working in Zamzam Company, Tehran Province, Iran, who were basically involved in sales outsourcing. The results of data analysis showed that variables such as nonlinearity, self-similarity, strange attractors, butterfly effect, dynamic adaptation, and fractal affect product sales outsourcing in the company under study. In addition, hemostasis and bifurcation were found to have no affect product sales outsourcing and there was no significant correlation between these variables. Based on these findings, more extensive studies are suggested to be conducted on companies listed in Tehran Stock Exchanges.