We propose a methodology to address the outstanding problem of synchronization in nonhyperbolic hyperchaotic physical systems. Our approach makes use of a controlling-chaos strategy that accomplishes the task by transmitting only one scalar signal even in the presence of noise.

In this letter, a new four-dimensional continuous autonomous hyperchaotic system, which is constructed based on a modified finance system by introducing a nonlinear state feedback controller. The detailed dynamical behaviors of this hyperchaotic system are further investigated, including equlibria and stability, various attractors, bifurcation analysis, and Lyapunov exponents spectrum. Furtherm...

In this paper, a new hyperchaotic system is constructed via state feedback control. Some basic dynamical properties are studied, such as continuous spectrum, Lyapunov exponents, fractal dimensions, strange attractor and bifurcation diagram of the new hyperchaotic system. In addition, adaptive controllers are designed for stabilizing hyperchaos to unstable equilibrium with the unknown parameters...

This paper studies stability and hybrid synchronization of a time-delay financial hyperchaotic system. Based on Lyapunov stability theorem and differential inequalities, stability is obtained by intermittent linear state feedback control. Furthermore, hybrid synchronization method is firstly proposed to synchronize a financial hyperchaotic system and globally synchronization is obtained by prop...

In this paper, a new hyperchaotic system is obtained by introducing an additional state, and adding two nonlinear terms of the original states and one linear term of the new state to the Chen chaotic system. Particular attention is given to globally exponential hyperchaos (time-delayed) synchronization and control for this hyperchaotic system. As a consequence, several families of control laws ...

– In this paper an approach to achieve synchronization of hyperchaotic circuits using a proper onedimensional signal is presented. The robustness of the proposed synchronization technique to parameter mismatch and to the presence of channel noise is investigated. The approach is effectively applied to hyperchaotic circuits constituted by two bidirectionally coupled Chua's oscillators. Key-Words...

In this paper hyperchaos synchronization is restated as a nonlinear observer design issue. This approach leads to a systematic tool, which guarantees synchronization of a wide class of hyperchaotic systems via a scafar signal. By exploiting this result, we propose to combine conventional cryptographic methods and Jynchronization of chaotic circuits to design hyperchaos-based cryptosystems. This...

This paper derives new results for the design of sliding mode controller for the global chaos synchronization of identical Coullet systems (1981). The synchronizer results derived in this paper for the complete chaos synchronization of identical hyperchaotic systems are established using sliding control theory and Lyapunov stability theory. Since the Lyapunov exponents are not required for thes...

An analysis is made of the hyperchaotic behaviour of a triple plane pendulum. It is shown that there are only eight physically distinct equilibrium configurations for the pendulum and that the types of eigen solutions obtained, for the Jacobian matrix evaluated at each equilibrium configuration, are independent of the system parameters. A new method for extracting the periodic orbits of the sys...