Taking the V-day bait, let's ask, "How are geeks spending their supposedly solitary Valentine's Days?" If they are into all that sweet mathematical physics action, they may be envisioning attractors.

Can we find order in chaos? Physicists have shown, for the first time that chaotic systems can synchronize due to stable structures that emerge from chaotic activity. These structures are known as ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

Nature has revealed peculiar mathematical objects that connect order and chaos. What struck John Learned about the blinking of KIC 5520878, a bluish-white star 16,000 light-years away, was how ...

Editor's Note: This article was provided by The Conversation. The original is here. Clouds are not spheres, mountains are not cones … Nature exhibits not simply a higher degree but an altogether ...

The purpose of this project was to implement Fractal Image Compression, as described by Yuval Fisher in his book Fractal Image Compression: Theory And Application. In chapter 1.4 of his book, Dr.

This is a preview. Log in through your library . Abstract We consider a hyperbolic phase-field model with memory which was introduced, justified, and studied in a previous authors'paper, jointly with ...

Traditional linear models of combat treat attrition as a continuous function of time. However, recent thinking on the nature of warfare has it that combat is inherently non-linear. Non-linearity in ...