Complex System Dynamics Through A Fractal Paradigm

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Some implications of absolute geometries in the description of complex systems dynamics, at various scale resolutions are highlighted. In such context, by means of an analytic geometry of 2 x 2 matrices, a generalization of the standard velocities space in ...

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 ...

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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 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 ...

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 ...

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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 ...

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Complex System Dynamics Through A Fractal Paradigm

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Additive and geometric transversality of fractal sets in the integers

Stochastic pairwise preference convergence in Bayesian agents

Stability: a search for structure

Some Physical Implications Of Absolute Geometries In The Description Of Complex Systems Dynamics

On A Special Symmetry In The Dynamics Of Complex Systems In A Holographic-Type Perspective

Fractal Analysis of Four Xerogels Based on TEGylated Phenothiazine and Chitosan

Backtracking Dynamical Cavity Method

Conductive-Type Behaviors In The Dynamics Of Complex Systems Through Scale Relativity Theory

Self-Structuring Of Cellular And Channel Type In Complex System Dynamics In The Framework Of Scale Relativity Theory

Non-Linear Behaviors In The Dynamics Of Complex Systems Through A Multifractal Hydrodynamic Model

Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory

On the fractal structure of soil moisture fields

Bistable-Type Interactions Of Complex Systems In A Fractal Paradigm Of Motion

On the 5G Communications: Fractal-Shaped Antennas for PPDR Applications

Bistable-Type Interactions Of Complex Systems In A Fractal Paradigm Of Motion

The double exponential runtime is tight for 2-stage stochastic ILPs

Tenants’ residential mobility in Switzerland: the role of housing functions