A study of the various routes to chaos in dynamical systems reveals that significant computation occurs at the onset of chaos. At first blush this is not surprising since statistical mechanics views these as phase transitions with infinite temporal correlations. In computational terms processes that are in a critical state, like those at the onset of chaos considered here, have an infinite memo...

The brushless dc motor (BLDCM) with multi-time scales is an electric machine. By coupled BLDCM, it is discovered that chaotic routes of the uncoupled systems influence synchronous result of coupled identical and nonidentical chaotic systems. Another multi-time scales form, Hindmarsh–Rose (HR) neurons, when the chaotic parameter is selected only in the range of the period-doubling route to chaos...

In this paper a new method is presented for the detection of chaotic responses using harmonic balance commercial simulators. The method is applicable to circuits exhibiting homoclinic bifurcation routes. The successive period-doublings, often preceding the formation of homoclinic orbits, are predicted and calculated. This is done by means of a new probe technique that overcomes the harmonic bal...

sciences exist to demonstrate the fundamental order underlying nature. chaos/complexity theory is a novel and amazing field of scientific inquiry. notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (retrieved from http://www.inc...

As nuclear families have become increasingly less stable over the past quarter century, married couples have been faced with the difficult task of negotiating the terms by which marriage is ended. For parents, divorce involves questions revolving around the care and sustenance of children. In this paper we investigate whether observed divorce settlements indicate that parents make trade-offs in...

This Essay proceeds in four steps. Part I summarizes the quantitative evidence on the pattern of escalation and outcomes of more than 600 GATT/WTO disputes from 1948 through 1999. Part II elaborates on our theory of settlement bargaining within the context of an institution lacking enforcement power and shows how the hypotheses are consistent with the evidence introduced earlier. Part III discu...

Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

chaos theory discusses unstable and non-periodic behavior of non-linear fluctuating dynamicsystems. since evaporation level variations of lakes have a dynamic identity, chaos theory can have a uniquerole in collecting data of these variations. therefore it is an important and challenging problem in the field ofplanning and qualitative and quantitative management of urmia lake to verify whether ...