Continuous iteration of dynamical maps

Continuous iteration of dynamical maps

Entropy operator for continuous dynamical systems of finite topological entropy

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

Iteration of Quadratic Maps on Matrix Algebras

ALEXANDRA NASCIMENTO BAPTISTA Department of Mathematics, School of Technology and Management, Polytechnic Institute of Leiria, Campus 2, Morro do Lena – Alto do Vieiro, 2411-901, Leiria, Portugal Centro de Investigação em Matemática e Aplicações, University of Évora, Rua Romão Ramalho, 59, 7000-671, Évora, Portugal CARLOS CORREIA RAMOS Centro de Investigação em Matemática e Aplicações, Departme...

On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces

In this paper, we obtained the convergence of modified Noor iterative scheme for nearly Lipschitzian maps in real Banach spaces. Our results contribute to the literature in this area of re- search.

Discrete Dynamical Systems: Maps

Many physical systems displaying chaotic behavior are accurately described by mathematical models derived from well-understood physical principles. For example, the fundamental equations of fluid dynamics, namely the Navier–Stokes equations, are obtained from elementary mechanical and thermodynamical considerations. The simplest laser models are built from Maxwell’s laws of electromagnetism and...