Transition to chaos in converging–diverging channel flows: Ruelle–Takens–Newhouse scenario

Transition to chaos in converging-diverging channel flows: Ruelle-Takens-Newhouse scenario

Direct numerical simulations of the transition process from laminar to chaotic flow in convergingdiverging channels are presented. The chaotic flow regime is reached after a sequence of successive supercritical Hopf bifurcations to periodic, quasiperiodic, and chaotic self-sustained flow regimes. The numerical experiments reveal three distinct bifurcations as the Reynolds number is increased, e...

Analytic signals and the transition to chaos in deterministic flows

The transition from regular to chaotic motions in deterministic flows is characterized by a change from a discrete Fourier spectrum to a broadband one. The onset of chaos is thus associated with the creation of an infinite number of new Fourier modes. Given a system that generates a time series x(t), we study the transition to chaos from the perspective of analytic signals, which are defined vi...

an analytical model for velocity distribution in transition zone for channel flows over inflexible submerged vegetation

the estimation of velocity distribution plays a major role in the hydrodynamics of vegetated streams or rivers of extensive natural floodplains. the velocity profile in vegetated channels can be divided into three zones: uniform zone which is close to bed with uniform velocity distribution, logarithmic zone which involves the main channel with no vegetive cover and the transition zone that is a...

Chaos in Shear Flows

Transition to chaos in random neuronal networks

Firing patterns in the central nervous system often exhibit strong temporal irregularity and considerable heterogeneity in time averaged response properties. Previous studies suggested that these properties are outcome of the intrinsic chaotic dynamics of the neural circuits. Indeed, simplified rate-based neuronal networks with synaptic connections drawn from Gaussian distribution and sigmoidal...