This paper introduces new invariants for multiparameter dynamical systems. This is done by counting the number of points whose orbits intersect at time n under simultaneous iteration of finitely many ...

Proceedings of the American Mathematical Society, Vol. 110, No. 1 (Sep., 1990), pp. 263-268 (6 pages) Two fixed points of a topological dynamical system are said to be of the same type if there exists ...

Dynamical systems theory provides a unifying mathematical framework for understanding how complex phenomena evolve over time. By employing differential and difference equations, researchers can ...

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...