The results show that the lowest order of which chaos can occur is 0.855 in this nonlinear dynamic model of fractional-order. Based on the theory of stability ...

The results show that the lowest order of which chaos can occur is 0.855 in this nonlinear dynamic model of fractional-order. Based on the theory of ...

Moreover, there exist more complex dynamical behaviors in fractional-order dynamical system than in integral-order one, and it has more preferable history ...

The main objective of this study is to investigate and control the chaotic behaviour of fractional-order Coullet system, including the necessary condition ...

Mar 30, 2018 · This paper analyzes the stability of the time-varying fractional-order systems and presents a stability theorem for the system with the order 0<α<1.

As a collective behavior, the problem of synchronization and its control in fractional-order chaotic systems generally exists in many actual processes.

This book highlights solution algorithms and characteristic analysis methods of fractional-order chaotic systems and discusses numerical solution algorithm.

In this paper the fractional version of the proposed integer order chaotic ecological system is studied. Here chaos has been observed in the competitive ...

May 9, 2024 · Chaotic systems are extremely responsive to initial conditions (ICs). The phenomenon is frequently referred to as the butterfly influence. Chaos ...

The chaotic characteristic is found from the fractional-order equation by selecting suitable parameter matrixes B of perturbed torque. First, based on the ...