Mehmet Onur Fen's Books

Dynamics with Chaos and Fractals

By: Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily

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Dynamics with Chaos and Fractals

By: Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily

The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.

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Page Count

233

Publisher

Springer Nature

Published Date

ISBN 10

3030358542

ISBN 13

9783030358549

Replication of Chaos in Neural Networks, Economics and Physics

By: Marat Akhmet,Mehmet Onur Fen

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Replication of Chaos in Neural Networks, Economics and Physics

By: Marat Akhmet,Mehmet Onur Fen

This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

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Page Count

468

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Springer

Published Date

ISBN 10

3662475006

ISBN 13

9783662475003

Dynamics with Chaos and Fractals

By: Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily

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Dynamics with Chaos and Fractals

By: Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

233

Publisher

Springer Nature

Published Date

ISBN 10

3030358542

ISBN 13

9783030358549

Replication of Chaos in Neural Networks, Economics and Physics

By: Marat Akhmet,Mehmet Onur Fen

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Replication of Chaos in Neural Networks, Economics and Physics

By: Marat Akhmet,Mehmet Onur Fen

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

468

Publisher

Springer

Published Date

ISBN 10

3662475006

ISBN 13

9783662475003

Book's by Mehmet Onur Fen

Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals

Replication of Chaos in Neural Networks, Economics and Physics

Replication of Chaos in Neural Networks, Economics and Physics

Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals

Replication of Chaos in Neural Networks, Economics and Physics

Replication of Chaos in Neural Networks, Economics and Physics

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