<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Chaotic dynamics of various continuous and discrete-time mathematical models are used frequently in many practical applications. Many of these applications demand the chaotic behavior of the model to be robust. Therefore, it has been always a challenge to find mathematical models which exhibit robust chaotic dynamics. In the existing literature there exist a very few studies of robust chaos generators based on simple 1-D mathematical models. In this paper, we have proposed an infinite family consisting of simple one-dimensional piecewise smooth maps which can be effectively used to generate robust chaotic signals over a wide range of the parameter values.</p>
</abstract>

Chaotic dynamics of various continuous and discrete-time mathematical models are used frequently in many practical applications. Many of these applications demand the chaotic behavior of the model to be robust. Therefore, it has been always a challenge to find mathematical models which exhibit robust chaotic dynamics. In the existing literature there exist a very few studies of robust chaos generators based on simple 1-D mathematical models. In this paper, we have proposed an infinite family consisting of simple one-dimensional piecewise smooth maps which can be effectively used to generate robust chaotic signals over a wide range of the parameter values.

A novel family of 1-D robust chaotic maps

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A novel family of 1-D robust chaotic maps"}

Chaotic dynamics of various continuous and discrete-time mathematical models are used frequently in many practical applications. Many of these applications...

A novel family of 1-D robust chaotic maps

Publicado en línea: 31 dic 2020

Páginas: 507 - 514

Recibido: 10 abr 2020

Aceptado: 07 jun 2020

DOI: https://doi.org/10.2478/amns.2020.2.00073

Palabras clave
Robust Chaos, Piecewise-smooth Map, Lyapunov exponent, Logistic Map

© 2020 Dhrubajyoti Mandal, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A novel family of 1-D robust chaotic maps

Publicado en línea: 31 dic 2020

Páginas: 507 - 514

Recibido: 10 abr 2020

Aceptado: 07 jun 2020

DOI: https://doi.org/10.2478/amns.2020.2.00073

Palabras claveRobust Chaos, Piecewise-smooth Map, Lyapunov exponent, Logistic Map

© 2020 Dhrubajyoti Mandal, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Palabras clave
Robust Chaos, Piecewise-smooth Map, Lyapunov exponent, Logistic Map