All attempts to generalize the three-dimensional Lorenz model by selecting higher-order Fourier modes can be divided into three categories, namely: vertical, horizontal and vertical–horizontal mode truncations. The previous study showed that the first method allowed only construction of a nine-dimensional system when the selected modes were energy-conserving. The results presented in this paper...

A two-dimensional and dissipative Rayleigh–Bénard convection can be approximated by the Lorenz model, which was originally derived by taking into account only three Fourier modes. Numerous attempts have been made to generalize this 3D model to higher dimensions and several different methods of selecting Fourier modes have been proposed. In this paper, generalized Lorenz models with dimensions r...

Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model parametrically driven chain damped nonlinear oscillators, we investigate route chaos emerging standing waves. The stationary chaotic state proceeds through quasiperiodic dynamics. wave undergoes onset ...

The paper presents a theoretical model that seeks to answer the question of why former squatter settlements tend to upgrade/redevelop at a slower pace than otherwise similar settlements originating in the formal sector. We argue that squatter settlers’ initial strategy to access urban land creates a ‘legacy effect’ that curtails settlement upgrading possibilities even after the settlements are ...

It is commonly believed that Adventure-based Counseling (ABC) training is intended for young people who are active and energetic. The St. James’ Settlement (a NGO) in Hong Kong, however, believes that such training can also have positive effects on the young olds (individuals aged 50-65). A group of young old trainees was recruited from the community to help implement related activities to elde...

Hyper chaos is the non-periodic behaviour of deterministic nonlinear dynamical system that is highly sensitive to initial conditions with more than one positive Lypunov Exponents, i.e., its dynamics expand not only small line segments, but also small area elements, these giving rise to a ‘thick’ chaotic attractor. Bifurcation effects include the period doubling route to chaos, the intermittency...

Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...

Undesirable effects of chaos suggest the need for a comprehensive understanding nonlinear and chaotic behavior nanodevices powered by Casimir force. Here, dynamics nanoscale mechanical device composed corrugated cylinder (pinion) placed between two plates (racks) coupled via lateral force is theoretically numerically explored when both racks undergo harmonic motion. Three dimensionless paramete...