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Exploiting Chaos to Control the Future

Gary William Flake, Guo-Zheng Sun, Yee-Chun Lee, Hsing-Hen Chen
1993 Neural Information Processing Systems  
to a linear theory and requires considerable knowledge of the dynamics of the system to be controlled.  ...  The controller is trained with a recurrent learning algorithm to minimize a novel objective function such that the controller can locate an unstable fixed point and drive the system into the fixed point  ...  However, further study must be done to understand why and how NNs could provide more useful schemes to control real world chaos.  ... 
dblp:conf/nips/SunLC93 fatcat:gp4glknygzfv5p755zygcvrxsy

Principles and applications of chaotic systems

William Ditto, Toshinori Munakata
1995 Communications of the ACM  
Rather recently, however, we have begun to realize that the tools of chaos theory can be applied toward the understanding, manipulation, and control of a variety of systems, with many of the practical  ...  It has deterministic (rather than probabilistic) underlying rules every future state of the system must follow. • Sensitivity to initial conditions.  ...  Acknowledgments The authors are indebted to Kazuyuki Aihara and Ryu Katayama for their valuable information.  ... 
doi:10.1145/219717.219797 fatcat:qvnqtdfqubcphbi4vesctke2we

Introduction to the special issue

L. Kocarev, G.M. Maggio, M. Ogorzalek, L. Pecora, Kung Yao
2001 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
His research and professional interests include nonlinear science and its application, synchronization and control of chaos, chaos communication, information theory and cryptography.  ...  From 1995 to 1998 he was an Associate Dean of the Faculty of Electrical Engineering, Skopje, Macedonia.  ...  human speech by exploiting properties of the speech signal which mimics structure exhibited by deterministic chaotic systems. 7) Nonlinear Circuits for Chaos-Based Communications: The future applicability  ... 
doi:10.1109/tcsi.2001.972844 fatcat:lplba6jkzzfpflq66spj6tr5ua

Dynamical Systems, Optimization, and Chaos [chapter]

John B. Moore
1997 Control and Chaos  
The key questions motivating this research are: Does the human brain exploit chaos for generating intelligence?  ...  Chaos occurs in dynamical systems, and frequently in engineering we seek to avoid chaos. At times chaos becomes the central fascination.  ...  The challenge is for systems engineers working in the area of control applications to exploit the potential of chaos for enhanced control and on-line optimization. We have a long way to go.  ... 
doi:10.1007/978-1-4612-2446-4_13 fatcat:ihoyuaan4bhk5my2aq5dx6iuxu

Perfect chaos

Rachel Won, Atsushi Uchida
2008 Nature Photonics  
Third, and most importantly, we exploit the chaos in lasers that causes nonlinear amplification and mixing of the laser noise, producing large amplitude oscillations that can be used to generate digital  ...  Better-quality randomness can be generated by adjusting the control parameters of two lasers to detune the main periodic components of the chaotic oscillations.  ... 
doi:10.1038/nphoton.2008.246 fatcat:go57svcuvra4pn5vpf2hsxm4yq

Characteristic of Transient Response in Nonuniform Instability with Optically Controlled Fiber
광학적으로 제어된 섬유를 가진 비균일 불안정성의 과도 응답의 특성

Pan-Lin Han, Kwang-Chea Park
2016 The Journal of Korea Institute of Information Electronics and Communication Technology  
In this paper we study the effect of chaos in nonuniform instability with optical fiber based IoT networks. The transient response of optically controlled fiber has also described.  ...  The paradigm instability in fiber Internet serves as a test for fundamental study of chaos and its suppression and exploitation in practical application in optical communication.  ...  If fiber suppressing by attractor proves to control chaos then, fiber suppressing under natural chaos can be exploited as a means for sensing structural instabilities.  ... 
doi:10.17661/jkiiect.2016.9.5.445 fatcat:lodfymbdl5gr5byq76tc4ppkra

Page 1516 of Mathematical Reviews Vol. , Issue 94c [page]

1994 Mathematical Reviews  
The crucial point is to exploit the knowledge of the nonlinear dynamics in order to minimize the time and energy nec- essary to achieve and maintain control.  ...  Yorke, Sudden change in the size of chaotic attractors: how does it occur? (441-455); O. E. Réssler, The future of chaos (457-465); Appendix: discussions (467-539).  ... 

光カオスの応用

Peter Davis
1995 The Review of Laser Engineering  
Using these techniques, it is possible that the dynamical variety in chaotic states can be exploited to increase the functionality of optical signal generators.  ...  The challenge has been to avoid the need for complex control.  ... 
doi:10.2184/lsj.23.supplement_19 fatcat:rv4qullbhfgbfmyeq55wywib4q

LA NATURALEZA, LAS MATEMÁTICAS, LA INGENIERÍA Y EL CAOS

Eva María Navarro López
2010 Ingeniare : Revista Chilena de Ingeniería  
These are some of the questions which arise when we discover that chaos is ubiquitous in our day-to-day life.  ...  The beauty of the unexpected Is Nature predictable? Can we know with certainty how physical and engineering systems evolve? Can unexpected complexity come from simplicity?  ...  The control of chaos is based on eliminating chaos.  ... 
doi:10.4067/s0718-33052010000100001 fatcat:uuc5utc5r5fjtddzdvig5rlgny

CHAOS COMPUTING: AN INTRODUCTION

Matthew N. O. Sadiku, Adebowale E. Shadare, Sarhan M. Musa
2019 International Journal of Engineering Research and Advanced Technology  
It aims at implementing computing functions through the construction of logical gates by employing chaotic elements. The paper provides a brief introduction to chaos computing.  ...  One such paradigm is chaos computing. Chaos computing is based on the nonlinear dynamical principles and can perform all logical operations.  ...  In mathematics, chaos signifies that the equations expressing nonlinear systems are extremely sensitive to initial inputs or conditions and it is hardly possible to predict their future behavior with a  ... 
doi:10.31695/ijerat.2019.3423 fatcat:6rodq4bwtzcpljo533u6nkamwu

Interacting in chaos

Dan R. Olsen
1999 Interactions  
After two decades of work on interacting through the desktop metaphor, it is now time to look into the future to find new problems whose solutions will empower users in fundamental ways.  ...  The chaos induced by the diversity of information, collaborators and interactive platforms is the key issue that this paper will explore.  ...  The capacities of human users define the fundamental convergent forces that can be exploited by future interactive systems to master the chaos imposed by exponential growth.  ... 
doi:10.1145/312683.312720 fatcat:6alfqpkwhbggvejvr4snwb3suu

Interacting In Chaos [chapter]

Dan R. Olsen
1998 Eurographics  
After two decades of work on interacting through the desktop metaphor, it is now time to look into the future to find new problems whose solutions will empower users in fundamental ways.  ...  The chaos induced by the diversity of information, collaborators and interactive platforms is the key issue that this paper will explore.  ...  The capacities of human users define the fundamental convergent forces that can be exploited by future interactive systems to master the chaos imposed by exponential growth.  ... 
doi:10.1007/978-3-7091-3693-5_1 fatcat:l25lpabczbev5b24a62li24u3y

Interacting in chaos

Dan R. Olsen
1998 Proceedings of the 3rd international conference on Intelligent user interfaces - IUI '98  
After two decades of work on interacting through the desktop metaphor, it is now time to look into the future to find new problems whose solutions will empower users in fundamental ways.  ...  The chaos induced by the diversity of information, collaborators and interactive platforms is the key issue that this paper will explore.  ...  The capacities of human users define the fundamental convergent forces that can be exploited by future interactive systems to master the chaos imposed by exponential growth.  ... 
doi:10.1145/268389.268407 dblp:conf/iui/Olsen98 fatcat:ttq36su3drg7baylffm7koz7ia

Page 5867 of Mathematical Reviews Vol. , Issue 94j [page]

1994 Mathematical Reviews  
This renders the stabilization method used for controlling chaos proposed by Ott, Grebogi, and Yorke (OGY) not directly applicable to Hamiltonian systems.  ...  Other issues related to controlling chaos in Hamiltonian systems are also discussed.” {For the entire collection see MR 94h:00020.} 94j:58114 58F13 58F40 92C20 Nekorkin, V. I.  ... 

Applied Chaos

Brian C. Mansfield
1997 Shock and Vibration  
Chaos also plays a hand in the control of heart rate variability. Chaotic behavior can create undesirable situations.  ...  Future direction chaos theory will be to make this topic a viable tool in the prediction of how a system will behave before the system is physically observed.  ... 
doi:10.1155/1997/295417 fatcat:5f6jfjyylng53g2tijfvkwt3dq
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