Synchronization, in which two different systems oscillate in an identical way, underlies numerous collective phenomena observed in nature, providing an example for emergent behaviors ranging from the ...

Demonstrating the applicability of αη across a diverse range of systems. These include a canonical dynamical system (Rössler attractor), simulation data for slow earthquakes (spring-slider system), a ...

To most people, "chaos" means confusion or randomness, but in mathematics, "mathematical chaos" refers to a deterministic behavior governed by precise nonlinear equations. A system is chaotic when it ...