Dynamics with Chaos and Fractals

Marat Akhmet Dr. Marat Akhmet is currently a Professor at Department of Mathematics, Middle East Technical University, Ankara, Turkey. He got his B.S. degree in mathematics at Aktobe State University, Kazakhstan, and Ph.D. degree in differential equations and mathematical physics at Kiev State University, Ukraine. Currently Dr. Marat Akhmet’s researches focus on the dynamical models and differential equations. He has published six books and more than a hundred and fifty scientific papers. In the last several years, he has been investigating dynamics of neural networks, periodic and almost periodic motions, stability, chaos and fractals.Mehmet Onur FenDr. Mehmet Onur Fen received his B.S. degree in mathematics from Middle East Technical University, Ankara, Turkey, with a double major in physics. He graduated from the mathematics Ph.D. program of the same university in September 2013. Currently he is working as an Associate Professor at Department of Mathematics, TED University, Ankara, Turkey. Dr. Mehmet Onur Fen’s research interests include chaotic dynamical systems, mathematical models of neural networks, and several types of differential equations.Ejaily Milad AlejailyDr. Ejaily Milad Alejaily is currently a lecturer at the College of Engineering Technology, Houn, Libya. He received his B.S. degree in mechanical engineering from Sirte University, Libya in 1997.  Later in 2009, Dr. Alejaily obtained his M.S. in mathematics from Universiti Teknologi Malaysia. He graduated from the mathematics Ph.D. program of Middle East Technical University, Ankara, Turkey in August 2019.

• Chapter 1. Introduction.- Chapter 2. The Unpredictable Point and Poincare Chaos.- Chapter 3. Unpredictability in Bebutov Dynamics.- Chapter 4. Non-linear Unpredictable Perturbations.- Chapter 5. Unpredictability in Topological Dynamics.- Chapter 6. Unpredictable Solutions of Hyperbolic Linear Equations.- Chapter 7. Strongly Unpredictable Solutions.- Chapter 8. Li-Yorke Chaos in Hybrid Systems on a Time Scale.- Chapter 9. Homoclinic and Heteroclinic Motions in Economic Models.- Chapter 10. Global Weather and Climate in the light of El Nino-Southern Oscillation.- Chapter 11. Fractals: Dynamics in the Geometry.- Chapter 12. Abstract Similarity, Fractals and Chaos.