Ultra-chaos: an insurmountable objective obstacle of reproducibility and replicability

It is crucial for scientific progress to be able to replicate scientific findings [1-4], because scientific claims should gain credence due to the reproducibility and replicability of their main supporting evidences. However, according to Nature’s survey of 1,576 researchers, more than 70% of the surveyed failed to reproduce another scientist’s experiments, and more than half agreed that there exists a significant “crisis of reproducibility” [2]. Here we reveal a new classification of chaos: normal-chaos and ultra-chaos. Unlike a normal-chaos, statistics of an ultra-chaos are sensitive to small disturbances. Some illustrative examples of ultra-chaos are given here. It is found that statistical non-reproducibility is indeed an inherent property of an ultra-chaos that is at a higher-level of disorder than a normal-chaos. It is impossible in practice to replicate experimental/numerical results of an ultra-chaos even in statistical meanings, since random environmental noises always exist and are out of control. Thus, ultra-chaos is indeed an insurmountable objective obstacle of reproducibility and replicability. Similar to Goedel’s incompleteness theorem, such kind of “incompleteness of reproducibility” reveals a limitation of scientific researches. It opens a new door and possibility to study reproducibility crisis, statistical significance, computational fluid dynamics (CFD), chaos theory, turbulence theory, and so on.

Novel Impedance Sensor based on the Chaotic Van der Pol and Damped Duffing Circuits Coupled

The signature of chaotic systems can be characterized either by the sensitivity of the initial conditions or by the change of its parameters. This feature can be used for manufacturing high sensitivity sensors. Sensors based on chaotic circuits have already been used for measuring water salinity, inductive effects, and both noise and weak signals. This article investigates an impedance sensor based on the Van der Pol and Duffing damped oscillators. The calibration process is a key point and therefore the folding behavior of signal periods was also explored. A sensitivity of 0.15 kΩ/Period was estimated over a range from 89.5 to 91.6 kΩ. This range can be adjusted according to the application by varying the gain of the operational amplifier used in this implementation. The development of this type of sensor might be used in medical and biological engineering for skin impedance measurements, for example. This type of chaotic sensor has the advantage of sensing small disturbances and then detect small impedance changes within biological materials which, in turn, may not be possible with other detectors.

Aircraft Maintenance Check Scheduling Using Reinforcement Learning

This paper presents a Reinforcement Learning (RL) approach to optimize the long-term scheduling of maintenance for an aircraft fleet. The problem considers fleet status, maintenance capacity, and other maintenance constraints to schedule hangar checks for a specified time horizon. The checks are scheduled within an interval, and the goal is to, schedule them as close as possible to their due date. In doing so, the number of checks is reduced, and the fleet availability increases. A Deep Q-learning algorithm is used to optimize the scheduling policy. The model is validated in a real scenario using maintenance data from 45 aircraft. The maintenance plan that is generated with our approach is compared with a previous study, which presented a Dynamic Programming (DP) based approach and airline estimations for the same period. The results show a reduction in the number of checks scheduled, which indicates the potential of RL in solving this problem. The adaptability of RL is also tested by introducing small disturbances in the initial conditions. After training the model with these simulated scenarios, the results show the robustness of the RL approach and its ability to generate efficient maintenance plans in only a few seconds.

NATIONAL SECURITY AND SOLAR-TERRESTRIAL COUPLING

The paper presents the results of the analysis of scientific publications in order to identify heliogeophysical interactions and their impact on the state of biospheric processes. It is demonstrated that small disturbances in the biological environment lead to global process-es with little predictable consequences that radically change politics, economics and public health. These processes pose a serious threat to national and economic security. The studies have shown that the Earth's ionosphere is a complex dynamic system, the state of which is de-termined not only by the parameters of the atmosphere itself, but also by variations in helium and geomagnetic factors. Investigation of interrelated processes in the lower and upper lay-ers of the atmosphere is one of the priority geophysical and meteorological tasks. Key words: solar activity, heliogeophysical interactions; the Earth's magnetic field; interplanetary field; annual variations; cosmic rays.

The Invariance Determination of the Complex Electrical System Output of

This article discusses the issues of applying the technology of embedding systems to study the invariance of the output of complex controlled electrical systems under small disturbances as stationary deterministic multidimensional dynamic systems. The technique of controller synthesis based on the modern matrix theory is presented. The synthesis of the regulator of the model of a multi-machine electrical system is obtained, which makes it possible to analyze the influence of the parameters of the electrical system mode.

Quantifying Information without Entropy: Identifying Intermittent Disturbances in Dynamical Systems

A system’s response to disturbances in an internal or external driving signal can be characterized as performing an implicit computation, where the dynamics of the system are a manifestation of its new state holding some memory about those disturbances. Identifying small disturbances in the response signal requires detailed information about the dynamics of the inputs, which can be challenging. This paper presents a new method called the Information Impulse Function (IIF) for detecting and time-localizing small disturbances in system response data. The novelty of IIF is its ability to measure relative information content without using Boltzmann’s equation by modeling signal transmission as a series of dissipative steps. Since a detailed expression of the informational structure in the signal is achieved with IIF, it is ideal for detecting disturbances in the response signal, i.e., the system dynamics. Those findings are based on numerical studies of the topological structure of the dynamics of a nonlinear system due to perturbated driving signals. The IIF is compared to both the Permutation entropy and Shannon entropy to demonstrate its entropy-like relationship with system state and its degree of sensitivity to perturbations in a driving signal.

Research on Splitting Optimization Considering the Planning of Wind Power Integration

With the continuous expansion of wind power integration scale, the stability of the power system has been greatly affected, especially the changes of the traditional grid structure, which makes the system splitting face major challenges. In the context of the widespread use of wind energy, a bi-level planning method considering optimal location-allocation of wind power to reduce the difficulty of splitting was proposed. Based on the slow coherence theory, a correlation model that reflects the coherence degree of system buses was constructed. Furthermore, an improved intelligent optimization algorithm was proposed to solve the optimal location-allocation of wind power. The proposed method was conducted in the Institute of Electrical and Electronics Engineering (IEEE) 39-bus system to centralize the splitting scope. It is verified that the proposed method can reduce the system’s possible oscillation modes to realize that less instability occurs under small disturbances, and restrict the range of splitting sections under large disturbances, which ensures the effectiveness of splitting devices to maintain the stable operation of the power grid.

Implementation of graphical user interface to observe and examine the frequency and rotor angle stability of a power system due to small disturbances

<span lang="EN-GB">The aim of this research is to anticipate the stability status of a power system when the system is exposed to a change in frequency and rotor angle due to small disturbances. The proposed study was implemented on the IEEE Reliability Test System 1979 (IEEE RTS-79) which contains 24 buses, 38 transmission lines and 32 generators. Steady state stability limit of a system refers to the maximum amount of power that is permissible through the system without loss of its steady state stability. This research proposes the development of a Graphical User Interface (GUI) to observe the frequency and rotor angle stability due to the effect of small disturbances using the One Machine Infinite Bus (OMIB) technique. This proposed technique could ease the power system utility especially the power system operation to observe and examine the system frequency and rotor angle stability due to small disturbances. The findings from this research has proven that the proposed technique to observe the frequency and rotor angle stability due to small disturbances has successfully been developed using a GUI.</span>

A Review on Ayurvedic perspective of Garbhini Chardi (Vomiting in pregnancy )management

Garbhini Chardi is one among the 8 Garbhopdravas mentioned in Harita Samhitaas. Chardi is mentioned as a disease in all Samhitas. Chardi can be a Vyaktagarbha-Lakshana or a Vyadhi or Updrva in other disease. There is no separate chapter that explain about Garbhini Chardi in details. Aacharya Sushruta explained Vyakta Garbha Lakshanas as vomiting without apparent cause, aversion from good smells, salivation and tiredness etc. Aacharya Charaka and Vagbhata also mentioned vomiting as Vyakta Garbha Lakshana. Aacharya Charaka has compared pregnant women with Taila Purna Patra which can spill of even by small disturbances hence seeking proper attention. Pregnancy vomiting should be treated by providing agreeable attendance and desired articles, in other words if the woman is given desired fruits, edibles, drinkables and lickables etc. She will not eject them, besides other management should be done considering relative dominance of different Doshas.