Abstract In this paper, we proposed a novel three-order autonomous circuit to construct a chaotic circuit with double scroll characteristic. The design idea is to use RLC elements and a nonlinear resistor. The one of salient features of the chaotic circuit is that the circuit with two flexible breakpoints of nonlinear element, and the advantage of the flexible breakpoint is that it increased complexity of the dynamical performance. Here, if we take a large and suitable breakpoint value, then the chaotic state can masking a large input signal in the circuit. Furthermore, we proposed a secure communication hyperchaotic system based on the proposed chaotic circuits, where the chaotic communication system is constituted by a chaotic transmitter and a chaotic receiver. To achieve the synchronization between the transmitter and the receiver, we are using a suitable Lyapunov function and Lyapunov theorem to design the feedback control gain. Thus, the transmitting message masked by chaotic state in the transmitter can be guaranteed to perfectly recover in the receiver. To achieve the systems performance, some basic components containing OPA, resistor and capacitor elements are used to implement the proposed communication scheme. From the viewpoints of circuit implementation, this proposed chaotic circuit is superior to the Chua chaotic circuits. Finally, the test results containing simulation and the circuit measurement are shown to demonstrate that the proposed method is correct and feasible.
[1]
M. Brucoli,et al.
SYNCHRONIZATION OF HYPERCHAOTIC CIRCUITS VIA CONTINUOUS FEEDBACK CONTROL WITH APPLICATION TO SECURE COMMUNICATIONS
,
1998
.
[2]
Carroll,et al.
Synchronization in chaotic systems.
,
1990,
Physical review letters.
[3]
Alan V. Oppenheim,et al.
Synchronization of Lorenz-based chaotic circuits with applications to communications
,
1993
.
[4]
Jinhu Lu,et al.
Chaos synchronization between linearly coupled chaotic systems
,
2002
.
[5]
L. Chua,et al.
Chaos via torus breakdown
,
1987
.
[6]
Teh-Lu Liao,et al.
An observer-based approach for chaotic synchronization with applications to secure communications
,
1999
.
[7]
Moez Feki,et al.
Observer-based chaotic synchronization in the presence of unknown inputs
,
2003
.
[8]
L. Chua,et al.
Canonical realization of Chua's circuit family
,
1990
.
[9]
Teh-Lu Liao,et al.
Adaptive synchronization of chaotic systems and its application to secure communications
,
2000
.
[10]
S. Mascolo,et al.
Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal
,
1997
.
[11]
Leon O. Chua,et al.
The double scroll
,
1985
.
[12]
L. Chua,et al.
The double hook (nonlinear chaotic circuits)
,
1988
.
[13]
John R. Terry,et al.
Chaotic communication using generalized synchronization
,
2001
.