Walking, as an important transportation mode, plays a large part in urban transportation systems. This mode is of great importance for planners and decision-makers because of its impact on environmental and health aspects of communities. However, this mode is so complex in nature that makes it difficult to study or model. On the other hand, chaos theory studies complex dynamical nonlinear syste...

In this paper, a novel fractional-order hyper-chaotic system is proposed. By drawing the phase trajectory and Lyapunov exponent spectrum, its dynamic characteristics are analyzed. The simulation results show that the fractional-order hyper-chaotic system has hyper-chaotic characteristic. Then, image encryption implementation based on the fractional-order hyper-chaotic system is investigated. An...

In this paper, we propose a chaotic interleaving scheme for continuous-phase modulation based orthogonal frequency-division multiplexing (CPM-OFDM) systems. The idea of chaotic maps randomization (CMR) is exploited in this scheme. CMR generates permuted sequences from the sequences to be transmitted with lower correlation among their samples, and hence a better bit error rate (BER) performance ...

A simple approach is proposed to tame chaos by injecting high-frequency signals, commonly called dithers, into the chaotic systems. Based on the relaxed method, an appropriate dither is introduced to suppress chaotic motion. If the frequency of dither is high enough, the trajectory described by the dithered chaotic system and the trajectory of its corresponding mathematical model — the relaxed ...

we present a numerical study of a one-dimensional version of the burridge-knopoff model [16] of n-site chain of spring-blocks with stick-slip dynamics. our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. it is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...

Abstract: We study the parametric controls of self-adjusting systems with numerical models. We investigate the situation where the target dynamics changes slowly and passes through a chaotic region. We find that feedback destabilizes controls if the target is chaotic. If the control is unstable the system migrates to the closest non-chaotic target, i.e. it adapts to the edge of chaos. For weak ...

This study used the complex dynamic characteristics of chaotic systems and Bluetooth to explore the topic of wireless chaotic communication secrecy and develop a communication security system. The PID controller for chaos synchronization control was applied, and the optimum parameters of this PID controller were obtained using a Particle Swarm Optimization (PSO) algorithm. Bluetooth was used to...

We study the parametric controls of self-adjusting systems with numerical models. We investigate the situation where the target dynamics changes slowly and passes through a chaotic region. We find that feedback destabilizes controls if the target is chaotic. If the control is unstable the system migrates to the closest non-chaotic target, i.e. it adapts to the edge of chaos. For weak controls t...

Some economic models like the cash-in-advance model of money or overlapping generations model have the property that the dynamics are ill-defined going forward in time, but well-defined going backward in time. In such instances, what does it mean for an ill-defined dynamical system to be chaotic? Furthermore, under what conditions are such dynamical systems chaotic? In this paper, we provide a ...