Abstract: We first present a simple circuit design method for obtaining a non-autonomous chaotic oscillator circuit from any given second-order sinusoidal oscillator with two capacitors. The proposed ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Abstract: Studies the chaotic dynamics observed from a widely used second-order phase-locked loops (PLLs) operating as a frequency modulated demodulator. The authors apply Melnikov's method to ...

Two New Orleans students who solved the Pythagorean theorem using trigonometry have had their discovery confirmed by the math community after their findings were published in the American Mathematical ...

Robert Ghrist, a professor of mathematics and electrical engineering at the University of Pennsylvania, has provided a complex mathematical proof of a generalization of the bottleneck duality theorem ...

In previous papers [1-I,II] a metric nonsymmetric theory of gravitation has been developed by one of us and the solution for a spherically symmetric point source was obtained. Of course, the result ...

Pythagoras Theorem: The Pythagoras Theorem is a fundamental principle in geometry, attributed to the ancient Greek mathematician Pythagoras. This theorem establishes a relationship between the sides ...

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A clay tablet dating back to 1800-1600 BC challenges the belief that Pythagoras was the original discoverer of the Pythagorean Theorem. The tablet, named "YBC 7289," contains proofs and principles ...