– We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding Γ(l) of mesoscopic ‘elastic elements’ is not monotonic in the local strain l. Despite this, the macroscopic, steady-state flow curve (stress vs. strain rate) is monotonic. However, for a broad class of Γ(l), the response to steady stress is n...

In Europe, the Farm to Fork Strategy provides ambitions for sustainable and circular food systems. However, what are driving uniting forces that keep systems sustainable? First, regarded as open thermodynamic systems, fuelled by solar energy, with seven building blocks: players, pieces, moves, playing fields, rules, wins, time. Second, complex adaptive evolving in a melting zone, or safe just o...

Numerical investigation of laminar, transitional and chaotic flows in convergingdiverging channels are performed by direct numerical simulations in the Reynolds number range 10 < Re < 850. The temporal flow evolution and the onset of turbulence are investigated by combining classical fluid dynamics representations with dynamical system flow characterizations. Modern dynamical system techniques ...

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...

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...

We explore periodic and chaotic motion in a soliton-bearing chain of nonlinear oscillators and study the effect of disorder on the spatiotemporal chaos. The chain we consider consists of torsionally coupled, damped, parametrically driven pendulums. We show that the amplitudes of the pendulums satisfy a system of equations in slow time, the “nonlinear Schrödinger (NLS) oscillators”. The evolutio...

– We study persistence in coupled circle map lattices at the onset of spatiotemporal intermittency, an onset which marks a continuous transition, in the universality class of directed percolation, to a unique absorbing state. We obtain a local persistence exponent of θl = 1.49± 0.02 at this transition, a value which closely matches values for θl obtained in stochastic models of directed percola...

Visually induced neuronal activity in V1 displays a marked gamma-band component which is modulated by stimulus properties. It has been argued that synchronized oscillations contribute to these gamma-band activity. However, analysis of Local Field Potentials (LFPs) across different experiments reveals considerable diversity in the degree of oscillatory behavior of this induced activity. Contrast...

Switched dynamical systems have been extensively studied in engineering literature the context of system control. In these systems, laws change between different subsystems depending on environment, a process that is known to produce emergent behaviors---notably chaos. These dynamics are analogous those temporal networks, which network topology changes over time, thereby altering network. It st...