Generating Multiscroll Chaotic Attractors: Theories, Methods and Applications

Over the last two decades, theoretical design and circuit implementation of various chaos generators have been a focal subject of increasing interest due to their promising applications in various ...

[1]  Xinghuo Yu,et al.  Design and analysis of multiscroll chaotic attractors from saturated function series , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  Qingdu Li,et al.  Multiple-scrolls chaotic attractor and circuit implementation , 2003 .

[3]  Yu Si-Min,et al.  A family of multiple-folded torus chaotic attractors , 2005 .

[4]  Johan A. K. Suykens,et al.  Scroll maps from n-scroll attractors , 2002 .

[5]  Henry Leung,et al.  Experimental verification of multidirectional multiscroll chaotic attractors , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Guanrong Chen,et al.  Controlling the Chaotic n-scroll Chua's Circuit , 2003, Int. J. Bifurc. Chaos.

[7]  Johan A. K. Suykens,et al.  True random bit generation from a double-scroll attractor , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  Henry Leung,et al.  Experimental verification of 3-D hysteresis multi-scroll chaotic attractors , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[9]  Wajdi M. Ahmad Generation and control of multi-scroll chaotic attractors in fractional order systems , 2005 .

[10]  T. Saito,et al.  An RC OTA hysteresis chaos generator , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[11]  Guanrong Chen,et al.  Dynamical Analysis of a New Chaotic Attractor , 2002, Int. J. Bifurc. Chaos.

[12]  Johan A. K. Suykens,et al.  The K.U.Leuven Time Series Prediction Competition , 1998 .

[13]  P. Arena,et al.  Generation of n-double scrolls via cellular neural networks , 1996, Int. J. Circuit Theory Appl..

[14]  J Lu Switching control: From simple rules to complex chaotic systems , 2003 .

[15]  J. Suykens,et al.  n-Double Scroll Hypercubes in 1-D CNNs , 1997 .

[16]  GUANRONG CHEN,et al.  Can a Three-Dimensional Smooth Autonomous Quadratic Chaotic System Generate a Single Four-scroll Attractor? , 2004, Int. J. Bifurc. Chaos.

[17]  Ahmed S. Elwakil,et al.  Creation of a complex butterfly attractor using a novel Lorenz-Type system , 2002 .

[18]  L. Chua Cnn: A Paradigm for Complexity , 1998 .

[19]  J. Suykens,et al.  Learning a simple recurrent neural state space model to behave like Chua's double scroll , 1995 .

[20]  T. Saito,et al.  Chaos from a hysteresis and switched circuit , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[21]  Xinghuo Yu,et al.  n-scroll chaotic oscillators by second-order systems and double-hysteresis blocks , 2003 .

[22]  Johan A. K. Suykens,et al.  n-scroll chaos generators: a simple circuit model , 2001 .

[23]  Leon O. Chua,et al.  EXPERIMENTAL STUDY OF IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC CIRCUITS , 1999 .

[24]  Yu Si-Min,et al.  Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems , 2004 .

[25]  Johan A. K. Suykens,et al.  Families of scroll Grid attractors , 2002, Int. J. Bifurc. Chaos.

[26]  T. Matsumoto Chaos in electronic circuits , 1987, Proceedings of the IEEE.

[27]  Xinghuo Yu,et al.  Generating multi-scroll chaotic attractors via a linear second-order hysteresis system , 2005 .

[28]  Lu Jinhu,et al.  Asymptotic Analysis of a Modified Lorenz System , 2002 .

[29]  Ahmed S. Elwakil,et al.  Chaotic oscillator configuration using a frequency dependent negative resistor , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

[30]  C. P. Silva,et al.  Shil'nikov's theorem-a tutorial , 1993 .

[31]  S. Mori,et al.  Folded torus in the forced Rayleigh oscillator with a diode pair , 1992 .

[32]  Henry Leung,et al.  Design and implementation of n-scroll chaotic attractors from a general jerk circuit , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[33]  P. Arena,et al.  Chua's circuit can be generated by CNN cells , 1995 .

[34]  L. Chua,et al.  The double scroll , 1985, 1985 24th IEEE Conference on Decision and Control.

[35]  Michael Peter Kennedy,et al.  Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices , 2001 .

[36]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[37]  Michael Peter Kennedy,et al.  Three steps to chaos. II. A Chua's circuit primer , 1993 .

[38]  L. Chua,et al.  Chaos via torus breakdown , 1987 .

[39]  F. Han,et al.  Multi-scroll chaos generation via linear systems and hysteresis function series , 2004 .

[40]  Ahmed S. Elwakil,et al.  Improved implementation of Chua's chaotic oscillator using current feedback op amp , 2000 .

[41]  Giuseppe Grassi,et al.  New 3D-scroll attractors in hyperchaotic Chua's Circuits Forming a Ring , 2003, Int. J. Bifurc. Chaos.

[42]  Kim-Fung Man,et al.  A Systematic Approach to Generating n-scroll attractors , 2002, Int. J. Bifurc. Chaos.

[43]  L. Chua,et al.  Hyper chaos: Laboratory experiment and numerical confirmation , 1986 .

[44]  Xinghuo Yu,et al.  Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method , 2004, Autom..

[45]  Daizhan Cheng,et al.  A New Chaotic System and Beyond: the Generalized Lorenz-like System , 2004, Int. J. Bifurc. Chaos.

[46]  Jinhu Lu,et al.  Synchronization of an uncertain unified chaotic system via adaptive control , 2002 .

[47]  A. Elwakil Nonautonomous pulse-driven chaotic oscillator based on Chua's circuit , 2002, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[48]  L. Chua,et al.  The double scroll family , 1986 .

[49]  J. Suykens,et al.  Experimental confirmation of 3- and 5-scroll attractors from a generalized Chua's circuit , 2000 .

[50]  Julien Clinton Sprott,et al.  Elementary chaotic flow , 1999 .

[51]  Simin Yu,et al.  New results of study on generating multiple-scroll chaotic attractors , 2007, Science in China Series F: Information Sciences.

[52]  Yuan-Zhao Yin SYNCHRONIZATION OF CHAOS IN A MODIFIED CHUA’S CIRCUIT USING CONTINUOUS CONTROL , 1996 .

[53]  Jinhu Lu,et al.  Chaos synchronization between linearly coupled chaotic systems , 2002 .

[54]  Xinghuo Yu,et al.  Generating multi-scroll chaotic attractors via switching control , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

[55]  Daizhan Cheng,et al.  Bridge the Gap between the Lorenz System and the Chen System , 2002, Int. J. Bifurc. Chaos.

[56]  Henry Leung,et al.  Design of 3-D multi-scroll chaotic attractors via basic circuits , 2005 .

[57]  Guanrong Chen,et al.  Generating chaotic attractors with multiple merged basins of attraction: a switching piecewise-linear control approach , 2003 .

[58]  Guanrong Chen,et al.  Generation of n-scroll attractors via sine function , 2001 .

[59]  Ahmed S. Elwakil,et al.  Chaotic oscillator configuration using a frequency dependent negative resistor , 2000 .

[60]  Ahmed S. Elwakil,et al.  Systematic realization of a class of hysteresis chaotic oscillators , 2000 .

[61]  Guanrong Chen,et al.  Generating chaos with a switching piecewise-linear controller. , 2002, Chaos.

[62]  吕金虎,et al.  Asymptotic Analysis of a Modified Lorenz System , 2002 .

[63]  Henry Leung,et al.  N-scroll chaotic attractors from a general jerk circuit , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[64]  M. A. Aziz-Alaoui,et al.  Differential Equations with Multispiral Attractors , 1999 .

[65]  Giuseppe Grassi,et al.  Hyperchaotic Coupled Chua Circuits: an Approach for Generating New n×m-scroll attractors , 2003, Int. J. Bifurc. Chaos.

[66]  Marco Storace,et al.  Simple realisation of hysteresis chaos generator , 1998 .

[67]  Ahmed S. Elwakil,et al.  n-scroll chaos generator using nonlinear transconductor , 2002 .

[68]  Qingdu Li,et al.  Generate n-scroll attractor in linear system by scalar output feedback , 2003 .

[69]  Emily Stone,et al.  The proto-Lorenz system , 1993 .

[70]  Xinghuo Yu,et al.  Switching control for multi-scroll chaos generation: an overview , 2003, 2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775).

[71]  M. A. Aziz-Alaoui,et al.  Dynamics of a Hénon–Lozi-type map , 2001 .

[72]  T. Saito An approach toward higher dimensional hysteresis chaos generators , 1990 .

[73]  J. Suykens,et al.  Generation of n-double scrolls (n=1, 2, 3, 4,...) , 1993 .