Networks of nonlinear units coupled by time-delayed signals can show chaos. In the limit of long delay times, chaos appears in two ways: strong and weak, depending on how the maximal Lyapunov exponent scales with the delay time. Only for weak chaos, a network can synchronize completely, without time shift. The conditions for strong and weak chaos and synchronization in networks with multiple de...

In view of shortcomings of BP neural network, which is slow to converge and tends to trap in local optimum when applied in fault diagnosis, an approach for fault diagnosis based on BP neural network optimized by chaos ant colony algorithm is proposed. Mathematical model of chaos ant colony algorithm is created. Real-coded method is adopted and the weights and thresholds of BP neural network are...

From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike that chaos has a new implication for unpredictability, meaning that chaotic systems are unpredictable in a way that other deterministic systems are not. Hence one might expect that the question ‘What are ...

Secure communication systems employing chaos have recently attracted significant interest. This is partly due to their high unpredictability and simplicity of implementation over conventional secure communications systems. This study presents the implementation of four chaotic modulation techniques employing Lorenz system as chaos generator. The techniques are Chaotic Masking (CM), Chaos Shift ...

a chaos control method suggested by erjaee has been reviewed. it has been shown that thistechnique can be applied in various evolutionary systems of 2-dimensional types. the method has beenapplied for cases of the henon map, as well as burger’s map. the limitations of the control techniquehave also been discussed by considering the standard map and the gumowski-mira map. the resultsobtained thr...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

This paper addresses the question of why nurses should understand chaos theory. A critique of the literature is used to demonstrate how chaos theory has been utilised in a number of disciplines, including nursing. Possible applications of chaos theory in nursing are proposed in order to demonstrate where it might assist nurses, in particular researchers, educators and policy makers. The appropr...

Various issues with regard to chaos and recurrence in infinite dimensions are discussed. The doctrine we are trying to derive is that Sobolev spaces over bounded spatial domains do host chaos and recurrence, while Sobolev spaces over unbounded spatial domains are lack of chaos and recurrence. Local Sobolev spaces over unbounded spatial domains can host chaos and are natural phase spaces e.g. fo...