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A historico-medical perspective on ancient epidemics and their impact on past human societies

Multifractal signal generation by cascaded chaotic systems and their analog electronic realization

Multifractality, that is, self-similarity where in scaling follows a continuous spectrum of exponents, is a ubiquitous property of the morphology and dynamics of large-scale complex systems. However, to date, the prerequisites for the generation of multifractal time series by dynamical systems remain an open issue. This work demonstrates that multifractality can emerge in the time series spontaneously generated by a small ensemble of cascaded nonlinear oscillators, which are deterministic, au...

The Reactability of Discrete Time Systems

An important property of a dynamical system is its reactivity, i.e., the initial rate of growth of the norm of the state vector. However, most literature on reactivity has focused on continuous time systems. Here we define the reactivity of discrete time systems and apply it to characterize the dynamics of network systems and Markov chains. We also introduce the concept of reactability, which measures the ability of a system to be made reactive, under the condition that the system is stable. ...

Flatness-based real-time control of experimental analog chaotic oscillators

In the control of non-linear dynamics, the notion of flatness provides a systematic framework for analyzing the observability and controllability of a system. Several successful applications of flatness-based control (in brief, flat control) have been demonstrated, but, to date, the control of chaos using this approach had been obtained only numerically. Here, for the first time, this issue is addressed through a systematic experimental investigation of two chaotic systems, namely, the Rossle...

Topologically induced suppression of explosive synchronization

Nowadays, explosive synchronization is a well-documented phenomenon consisting in a first-order transition that may coexist with classical synchronization. Typically, explosive synchronization occurs when the network structure is represented by the classical graph Laplacian, and the node frequency and its degree are correlated. Here, we answer the question on whether this phenomenon can be observed in networks when the oscillators are coupled via degree-biased Laplacian operators. We not only...

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