The accurate representation of the structural and dynamical properties of water is essential for simulating the unique behavior of this ubiquitous solvent. Here we assess the current status of describing liquid water using ab initio molecular dynamics, wit ...
In this thesis we study stability from several viewpoints. After covering the practical importance, the rich history and the ever-growing list of manifestations of stability, we study the following. (i) (Statistical identification of stable dynamical syste ...
Beliefs inform the behaviour of forward-thinking agents in complex environments. Recently, sequential Bayesian inference has emerged as a mechanism to study belief formation among agents adapting to dynamical conditions. However, we lack critical theory to ...
By operating with the Scale Relativity Theory in the dynamics of complex systems, we can achieve a description of these complex systems through a holographic-type perspective. Then, gauge invariances of a Riccati-type become functional in complex system dy ...
We examine the influence of surface charge on the percolation, gel-point and phase behavior of cellulose nanocrystal (CNC) suspensions in relation to their nonlinear rheological material response. Desulfation decreases CNC surface charge density which lead ...
The cavity method is one of the cornerstones of the statistical physics of disordered systems such as spin glasses and other complex systems. It is able to analytically and asymptotically exactly describe the equilibrium properties of a broad range of mode ...
Fluidic actuation enables movement in a wide range of mechanical systems, from simple laboratory devices to more complex industrial machinery. Fluids are used to generate motion of mechanical pieces. The term "fluids" encompasses two types of technologies: ...
In recent years, the automotive industry has aspired to bring self-driving vehicles to the general
public and light detection and ranging (LiDAR) sensors have emerged as the preferred solution for
car vision systems. At present, LiDAR technologies employ e ...
Despite the wealth of research on smart cities, there is a lack of studies examining interlinkages between smart cities and Sustainable Development Goals (SDGs). In other words, there is limited research on how implementing smart city solutions can lead to ...
Some non-linear behaviors in the dynamics of complex systems using the Scale Relativity Theory in the form of Multifractal Hydrodynamic Model are analyzed. By assimilating any complex system to a mathematical multifractal-type object, it is shown that the ...
Conductive-type dynamics in complex systems in the framework of Scale Relativity Theory are analyzed. Using the Madeling scenario in the description o f complex system dynamics through continuous and nondifferentiable curves (fractal/multifractal curves), ...
In the present paper the "interface" dynamics in the case of two complex systems interaction, assimilated to fractal-type mathematical objects, are analyzed. In such context, fractal bistable-type behaviors as transitions in the scale space are obtained. O ...
In the present paper the "interface" dynamics in the case of two complex systems interaction, assimilated to fractal-type mathematical objects, are analyzed. In such context, fractal bistable-type behaviors as transitions in the scale space are obtained. O ...
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's chaotic attractor. The significance of zero-dimensional unstable fixed points ...
In the framework of Scale Relativity Theory, by analyzing dynamics of complex system structural units based on multifractal curves, both Schrodinger and Madelung approaches are functional and complementary. The Madelung selected approach involve synchronou ...
Two dynamical systems are topologically equivalent when their phase-portraits can be morphed into each other by a homeomorphic coordinate transformation on the state space. The induced equivalence classes capture qualitative properties such as stability or ...
Molecular simulations allow to investigate the behaviour of materials at the atomistic level, shedding light on phenomena that cannot be directly observed in experiments. Accurate results can be obtained with ab initio methods, while simulations of large-s ...
Assimilating the complex with a fractal, non - differentiable behaviors in their dynamics are analyzed through a fractal paradigm. It results that complex system dynamics in the framework of hydrodynamic - type fractal regimes imply "holographic implementa ...
Coupled dynamical systems are omnipresent in everyday life. In general, interactions between
individual elements composing the system are captured by complex networks. The latter
greatly impact the way coupled systems are functioning and evolving in time. ...
Thermal convection in an inclined layer between two parallel walls kept at different fixed temperatures is studied for fixed Prandtl number . Depending on the angle of inclination and the imposed temperature difference, the flow exhibits a large variety of ...