Encrypter Information Software Using Chaotic Generators
This document shows a software that shows different chaotic generator, as continuous as discrete time. The software gives the option for obtain the different signals, using different parameters and initial condition value. The program shows then critical parameter for each model. All theses models are capable of encrypter information, this software show it too.
[1] L.M... Pechora and T.L. Carroll, "Synchronization in chaotic
systems,"Phys. Rev. Lett. 64, 821-824 (1990).
[2] L. M. Pecora and T. L. Carroll, "Circuit implementation of
synchronizedchaos with applications to communications," Phys. Rev. A
44, (1991).
[3] Special Issue on Chaos synchronization and control: Theory and
applications IEEE Trans. Circuits Syst. I, 44, (1997).
[4] Special Issue on Control and synchronization of chaos, Int. J. Bifurc.
Chaos, 10, (2000).
[5] C. Cruz-Hernández and H. Nijmeijer, "Synchronization through
filtering," Int. J. Bifurc. Chaos, 10, 763-775 (2000). Synchronization
through extended Kalman filtering. In: Nijmeijer H, Fossen TI, editors.
New trends in nonlinear observer design. Lecture notes in control and
information sciences, 244 London: Springer; 469-490, (1999).
[6] H. Sira-Ramírez and C. Cruz-Hernández, "Synchronization of
chaotic systems: a generalized Hamiltonian systems approach," Int. J.
Bifurc. Chaos, 11, 1381-1395 (2001). And in: Proceedings of the
American Control Conference, Chicago, USA, 769-773 (2000).
[7] D. López-Mancilla and C. Cruz-Hernández, "Output synchronization
of chaotic systems: model-matching approach with application to secure
communication," Nonlinear Dynamics and Systems Theory, 5, 141-15
(2005).
[8] U. Feldmann, M. Hasler and W. Schwarz, "Communication by
chaotic signals: the inverse system approach," Int. J. Circuits Theory and
Applications, 24, 551-579 (1996).
[9] H. Nijmeijer and I. M. Y. Mareels, "An observer looks
atsynchronization," IEEE Trans. Circuits Syst. I, 44, 882-890 (1997).
[10] Lorenz, E. N. , "Deterministic nonperiodic flow". J. Atmos. Sci. 20: 130-
141. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2., (1963).
[11] Matsumoto, Takashi , "A Chaotic Attractor from Chua's Circuit". IEEE
Transactions on Circuits and Systems (IEEE) CAS-31 (12): 1055-1058.
(1984).
[12] Madan, Rabinder N., "Chua's circuit: a paradigm for chaos". River
Edge, N.J.: World Scientific Publishing Company. ISBN 9810213662,
(1993).
[13] O. E. Rössler, "An Equation for Continuous Chaos".
Physics Letters 57A (5): 397-398M., (1976).
[14] Hénon, "A two-dimensional mapping with a strange attractor".
Communications in Mathematical Physics 50: 69-77.
doi:10.1007/BF01608556, (1976).
[15] Eric W. Weisstein, Logistic Equation at MathWorld.
[16] R.M. May, "Simple mathematical models with very complicated
dynamics". Nature 261: 459. doi:10.1038/261459a0, 1976
[1] L.M... Pechora and T.L. Carroll, "Synchronization in chaotic
systems,"Phys. Rev. Lett. 64, 821-824 (1990).
[2] L. M. Pecora and T. L. Carroll, "Circuit implementation of
synchronizedchaos with applications to communications," Phys. Rev. A
44, (1991).
[3] Special Issue on Chaos synchronization and control: Theory and
applications IEEE Trans. Circuits Syst. I, 44, (1997).
[4] Special Issue on Control and synchronization of chaos, Int. J. Bifurc.
Chaos, 10, (2000).
[5] C. Cruz-Hernández and H. Nijmeijer, "Synchronization through
filtering," Int. J. Bifurc. Chaos, 10, 763-775 (2000). Synchronization
through extended Kalman filtering. In: Nijmeijer H, Fossen TI, editors.
New trends in nonlinear observer design. Lecture notes in control and
information sciences, 244 London: Springer; 469-490, (1999).
[6] H. Sira-Ramírez and C. Cruz-Hernández, "Synchronization of
chaotic systems: a generalized Hamiltonian systems approach," Int. J.
Bifurc. Chaos, 11, 1381-1395 (2001). And in: Proceedings of the
American Control Conference, Chicago, USA, 769-773 (2000).
[7] D. López-Mancilla and C. Cruz-Hernández, "Output synchronization
of chaotic systems: model-matching approach with application to secure
communication," Nonlinear Dynamics and Systems Theory, 5, 141-15
(2005).
[8] U. Feldmann, M. Hasler and W. Schwarz, "Communication by
chaotic signals: the inverse system approach," Int. J. Circuits Theory and
Applications, 24, 551-579 (1996).
[9] H. Nijmeijer and I. M. Y. Mareels, "An observer looks
atsynchronization," IEEE Trans. Circuits Syst. I, 44, 882-890 (1997).
[10] Lorenz, E. N. , "Deterministic nonperiodic flow". J. Atmos. Sci. 20: 130-
141. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2., (1963).
[11] Matsumoto, Takashi , "A Chaotic Attractor from Chua's Circuit". IEEE
Transactions on Circuits and Systems (IEEE) CAS-31 (12): 1055-1058.
(1984).
[12] Madan, Rabinder N., "Chua's circuit: a paradigm for chaos". River
Edge, N.J.: World Scientific Publishing Company. ISBN 9810213662,
(1993).
[13] O. E. Rössler, "An Equation for Continuous Chaos".
Physics Letters 57A (5): 397-398M., (1976).
[14] Hénon, "A two-dimensional mapping with a strange attractor".
Communications in Mathematical Physics 50: 69-77.
doi:10.1007/BF01608556, (1976).
[15] Eric W. Weisstein, Logistic Equation at MathWorld.
[16] R.M. May, "Simple mathematical models with very complicated
dynamics". Nature 261: 459. doi:10.1038/261459a0, 1976
@article{"International Journal of Information, Control and Computer Sciences:64842", author = "Cardoza-Avendaño L. and López-Gutiérrez R.M. and Inzunza-González E. and Cruz-Hernández C. and García-Guerrero E. and Spirin V. and Serrano H.", title = "Encrypter Information Software Using Chaotic Generators", abstract = "This document shows a software that shows different chaotic generator, as continuous as discrete time. The software gives the option for obtain the different signals, using different parameters and initial condition value. The program shows then critical parameter for each model. All theses models are capable of encrypter information, this software show it too.
", keywords = "cryptography, chaotic attractors, software.", volume = "3", number = "6", pages = "1666-5", }
