Yuri V. Andreyev Dr. Sci., Ph.D. InformChaos Lab. Institute of Radioengineering and Electronics of RAS, Moscow E-mail: chaos@cplire.ru Tel: +7 (495) 629-7278 Fax: +7 (495) 629-3678

Resume Research Interests Recent Papers Other Publications... Study of Lattices of Chaotic Maps

Resume :

Senior researcher with the InformChaos Lab. of the Institute of Radioengineering and Electronics (IRE) of RAS, Moscow. and the Head of Wireless Technology Lab of the Moscow Institute for Physics and Technology (MIPT).
Born 1960 in Ufa, Russia, and graduated the MIPT in 1983 году (Department of Physical and Quantum Electronics). After graduation worked with IRE RAS (since 2015 in MIPT). Received Ph.D. from IRE RAS in 1993, for the thesis titled "Information processing using methods of nonlinear dynamics", and Dr.Sci. degree from the same institute in 2019 for the thesis titled "Nonlinear and chaotic dynamics in the problems of processing and transmitting information".
More than 50 publications on this and other subjects. Some are listed below.

Current Research Interests

• Dynamic chaos
• Information processing, information-searching systems
• Complexity, lattices of chaotic maps
• Chaotic synchronization
• Chaotic communications
• Ultrawideband communication systems and networks
• Multi-element communication systems

Recent Papers

Andreyev Yu.V. Detection of chaotic radio pulses with ensemble of envelope detectors // Tech. Phys. Lett. 2020, vol. 46 (accepted).

Andreyev Yu.V. Multi-Element Receiver for Ultra-Wideband Chaotic Communications / Proc. Int. Conf. 2020 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO) . 1-3 July 2020, Svetlogorsk, Russia. doi: 10.1109/SYNCHROINFO49631.2020.9166099.

Andreyev Yu.V. Detection of ultrawideband chaotic radio pulses with multi-element receiver ensemble / Proc. CriMiCo’2020, Sevastopol, Russia, September 6-12, 2020. vol. 2. pp. 72–73. (in Russian)

Andreyev Yu.V. Energy Radiation Pattern of Ultra-Wideband Chaotic Ensemble // Proc. 2019 Russian Open Conf. Radio Wave Propagation (RWP), 1-6 July 2019, Kazan, Russia. DOI: 10.1109/RWP.2019.8810209.

Andreyev Yu. Structure of the emission field of ensemble of ultra-wideband chaotic sources // ITM Web Conf., 30 (2019) 05029. CriMiCo 2019. DOI: 10.1051/itmconf/20193005029

Andreyev Yu.V. Nonlinear and chaotic dynamics in the problems of processing and transmitting information. Dr.Sci. Thesis in physics and mathematics, Feb 15, 2019. (in Russian)

Kuzmin L.V., Ryzhov A.I., Andreyev Yu.V., Popov M.G. Ultrawideband wireless sensor network for transmitting continuous data // Physical bases of instrumentation. 2018, vol. 7, no. 1 (27), pp. 91-102 (in Russian).

Andreyev, Yu.V., Gerasimov, M.Yu., Dmitriev, A.S., Yemelyanov, R.Yu. Emulation of Ensembles of Nonlinear Dynamic Systems in Ultrawideband Active Wireless Direct Chaotic Networks // Physical Bases of Instrumentation. 2018. Vol. 7. No. 3(29). PP. 38–49. DOI: 10.25210/jfop-1803-038049 (in Russian)

Andreyev Yu.V. Information processing using nonlinear and chaotic dynamics // Abstracts of XVIII scientific school «Nonlinear waves–2018», Feb 26 – Mar 4, 2018, Nizhnii Novgorod, Russia (in Russian).

Andreyev Yu.V. Emission of an ensemble of ultrawideband chaotic sources // Proc. VIII Nat. Armand readings (II Nat. Sci. conf. «Contemporary problems of remote sensing, radiolocation, wave propagation and diffraction»), June 26-28, 2018, Murom, Russia (in Russian).

Andreyev Yu.V. Multi-Element System of Ultra-Wideband Chaotic Communications // IEEE Conf. Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO 2018). 4-5 July 2018, Minsk, Belarus. DOI: 10.1109/SYNCHROINFO.2018.8457024.

Dmitriev A.S., Kuzmin L.V., Ryshov A.I., Andreyev Yu.V., Popov M.G. Ultra-wideband Wireless Sensor Network For Real-Time Process Monitoring // Proc. 5th Int. Conf. Engineering & Telecommunication (En&T 2018), Nov 15-16, 2018. Moscow, Russia. doi: 10.1109/EnT-MIPT.2018.00023.

Andreyev Yu.V., Dmitriev A.S., Lazarev V.A. “Collective transmission of information with ultrawideband direct chaotic ensemble”. Physical Bases of Instrumentation, 2017, vol. 6, no. 2 (24), pp. 80-89 (in Russian).

Andreyev Yu. V. “Radiation Characteristics of Ensemble of UWB Chaotic Sources”. Int. Symp. PIERS-2017. May 22–25, 2017. St. Petersburg, Russia.

Kuzmin L.V., Andreyev Yu.V. “Chaotic Synchronous Response in Multipath Channel”. Int. Symp. PIERS-2017. May 22–25, 2017. St Petersburg, Russia.

Dmitriev A.S., Kuzmin L.V., Lazarev V.A., Ryshov A.I., Andreyev Yu.V., Popov M.G. Self-organizing ultrawideband wireless sensor network. Proc. 2017 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SINKHROINFO), IEEE Conf. Publications. June 3-4, 2017. Kazan, Russia. pp. 1-6. DOI: 10.1109/SINKHROINFO.2017.7997519.

Dmitriev A.S., Kuzmin L.V., Lazarev V.A., Ryzhov A.I., Andreyev Yu.V., Popov M.G. "Ultrawideband wireless sensor network". Proc. 20th Int. Sci. Conf. "Distributed computer and communication networks: control, computation, communications". September 23-29, 2017. Moscow, Russia. pp. 371–378.

Andreyev Yu.V. “Energy radiation pattern of ensemble of UWB chaotic transmitters». 9th Int. Conf. "Acoustooptical and Radar Methods for Information Measurements and Processing " (ARMIMP-2017) . October 1 – 4, 2017. Suzdal, Russia (in Russian).

Andreyev Yu.V., Lazarev V.A. “Protocol for ultrawideband communications of mobile objects”, Proc. 26th Int. Conf. «Microwave & Telecommunication Technology» (CriMiCo’2016) , Sevastopol, Russia, September 4-10, 2016. pp. 644-650.

Andreyev Yu.V., Dmitriev A.S., Lazarev V.A., Ryzhov A.I., Popov M.G. “Wireless sensor network for medical applications based on UWB direct chaotic technology”, Proc. Int. Congress Computer Science: Information Systems and Technologies (CSIST’2016), Minsk, Belarus, Oct 24-27, 2016 (in Russian).

Andreyev Yu.V. "Emission characteristics of ensembles of UWB chaotic transmitters”, Proc. IV National Microwave Conf., Nov 23-25,2016. Moscow, Russia (in Russian).

Other Publications

Андреев Ю.В., Dmitriev A.S., Lazarev V.A. «UWB direct chaotic transmitter panel. Theory and experiment », Proc.V Nat. Scientific Radiophysics Conf. in memory of N.A. Armand, Murom, Russia, June 29–July 1, 2015 (in Russian).

Dmitriev A.S., Gerasimov M.Y., Emelyanov R.Yu., Andreyev Yu.V. «Modeling Interacting Dynamical Systems with Wireless Active Networks», Proc. 2014 Int. Symp. Nonlinear Theory and its Applications (NOLTA-2014). Luzern, Switzerland, September 14-18, 2014.

Andreyev Yu.V., Dmitriev A.S., Lazarev V.A. “Experimental investigation of UWB direct chaotic transmitter panel”, Proc. VIII Nat. Scien. Techn. Conf. Radiolocation and Radio Communications, Moscow, Russia, Nov 24-25, 2014, no. 1, vol. 60, p. 371 (in Russian).

Andreyev Yu.V., Dmitriev A.S., Lazarev V.A., Ryzhov A.I. “Experimental investigation of UWB chaotic pulse indoor.” Proc. Sci. Conf. “III National Armand readings”, June 26-28, 2013, Murom, Russia (in Russian).

Dmitriev A.A., Dmitriev A.S., Andreyev Y.V., Efremova E.V., Antoniades I.P., Miliou A.N., Anagnostopoulos A.N.: Chapter 6: “Evaluation of the Number of Keys in a Chaotic Cryptographic Method”, in: Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3, eds. S. Banerjee, L.Rondoni, Springer-Verlag, Berlin Heidelberg, 2013, ISBN 978-3-642-34016-1.

Andreyev Yu.V., Dmitriev A.S., Lazarev V.A. “Experimental study of indoor propagation of UWB chaotic signals,” Uspekhi sovremennoi radioelektroniki, 2013, no. 3, pp. 55-66 (in Russian).

Mokhseni T.I., Ryzhov A.I., Lazarev V.A., Andreyev Yu.V. “Experiments on the transmission of UWB signals from sensors placed inside the vehicle”, Uspekhi sovremennoi radioelektroniki, 2013, no. 3, pp. 72-78 (in Russian).

Andreyev Yu.V., Kuzmin L.V., Mokhseni T.I., Rumyantsev N.V., Ryzhov A.I. “Propagation of UWB chaotic radio pulses in residence and office environment.” Proc. V National Conf. «Radiophysical methods in remote sensing», June 26-28, 2012, Murom, Russia (in Russian).

Andreyev Yu.V., Efremova E.V., Lazarev V.A. Energy-saving modes of transceivers for UWB sensor networks. Journal of Radio Electronics, no. 1, Jan 2012 (in Russian).

Andreyev Y.V., Dmitriev A.S., Miliou A.N., Anagnostopoulos A.N.: Chapter 9: “Nonlinear Dynamics for Information Processing”, in: Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 1, eds. S. Banerjee, M. Mitra, L.Rondoni, Springer-Verlag, Berlin Heidelberg 2011, pp. 273–320.

Ryzhov A.I., Lazarev V.A., Mokhseni T.I.., Nikerov D.V., Andreyev Yu.V., Dmitriev A.S., Chubinsky N.P. “Propagation of UWB 3–5 GHz chaotic signals through building walls,” Proc. 5th National Conf. “Radio location and radio communications”, Nov. 21–25, 2011, Moscow, Russia, pp. 447–451 (in Russian).

Andreyev Yu.V., Efremova E.V., Lazarev V.A. “Energy-saving transceiver modes in ultrawideband communication networks,” Proc. 5th National Conf. “Radio location and radio communications”, Nov. 21–25, 2011, Moscow, Russia, p. 515 (in Russian).

Andreyev Yu.V., Dmitriev A.S., Kletsov A.V. Multipath amplification in UWB communication systems with chaotic signals, Proc. 20th Int. Conf. "Microwave techniques and telecommunication technologies" (Crimico-2010), Sept. 13-17, 2010, Sevastopol, Crimea, Ukraine, vol. 1, pp. 51-52.

Andreyev Yu.V., Dmitriev A.S., Kletsov A.V. «Multipath gain in UWB direct chaotic communications». Proc. III Russian Conf. “Radiolocation and radio communications”, Moscow, Russia, Oct. 26-30, 2009, pp. 494-498 (in Russian).

Andreyev Yu.V., Dmitriev A.S., Kuzmin L.V., Mokhseni T.I. «UWB signals for wireless communications », Radiotekhnika, 2008, vol. 53, no. 8, pp. 83–90 (in Russian). (in Russian).

Andreyev Yu.V., Kuzmin L.V., Morozov V.A., Starkov S.O. "Propagation and reception of UWB chaotic signals in multipath environment", Uspekhi sovremennoi radioelektroniki, 2008, No. 1, pp. 63-76 (in Russian).

Dmitriev A.S., Laktiushkin A.M., Andreyev Yu.V. "UWB wireless personal area networks based on chaotic signals", Proc. 12th Mediterranean microwave symposium MICROCOLL-2007, 14-16 May 2007, Budapest, Hungary, pp. 87–88.

Andreyev Yu.V., Dmitriev A.S., Kletsov A.V. "Amplification of chaotic radio pulses in multipath environment", Radiotekhnika i elektronika, 2007, vol. 52, No. 7, pp. 838-846 (in Russian).

Andreyev Yu.V., Dmitriev A.S., Kletsov A.V. "Effect of multipath amplification in chaotic communications", Abstracts of Int. Conf. "Dynamics Days Europe 2006", Crete, Greece, 2006.

Andreyev Yu.V., Dmitriev A.S., Kletsov A.V. "Amplification of chaotic radio pulses in multipath environment", Proc. National Conf. "Ultrawideband signals in radiolocation and acoustics-2006", 2006, July 4-7, Murom, Russia. pp. 220-226 (in Russian).

Andreyev Yu.V., Dmitriev A.S., Efremova E.V., Khilinsky A.D., Kuzmin L.V. “Qualitative theory of dynamical systems, chaos and contemporary communications”, Int. J. Bifurcation and Chaos, 2005, vol. 15, No. 11, pp. 3639-3651.

Andreyev Yu.V., Dmitriev A.S., Kletsov A.A., Koroteev M.V., Laktushkin A.M. "Effect of multipath amplification in UWB wireless communication system", Proc. 1st Int. Conf. "Ultrawideband signals and ultrashort pulses in radio location, communications and acoustics", Sept. 27-29, 2005, Suzdal, Russia, pp. 147-150 (in Russian).

Andreyev Yu.V., Koroteev M.V. «On chaotic nature of speech signals». Izv. VUZov, Prikladnaya nelineynaya dinamika, 2004, vol. 12, no. 6, pp. 44-59 (in Russian).

Andreyev Yu.V., Kletsov A.A. Equalizer for multipath channel, Proc. ICCSC'2004, June 30 - July 2, Moscow, Russia, 2004.

Andreyev Yu.V., Khadgi B.A., Morozov V.A., and Starkov S.O., "Ultrawideband multipath indoor channel for direct chaotic communications", Proc. Int. Symp. Signals, Circuits and Systems (SCS-2003), July 10-11, 2003, Iasi, Romania, pp. 21-24.

Andreyev Yu.V. and Efremova E.V., "Separation of Wideband Chaotic Signals," Proc. Int. Symp. Signals, Circuits and Systems (SCS-2003), July 10-11, 2003, Iasi, Romania, pp. 1-4.

Andreyev Yu.V., Morozov V.A., Starkov S.O., and Khadgi B.A., "Efficiency estimate of receiver of ultrawideband chaotic signals in multipath environment", Proc. National Conf. "Ultrawideband signals in radiolocation and acoustics-2003", 2003, July 1-3, Murom, Russia, pp. 505-509 (in Russian).

Andreyev Yu.V., Efremova E.V., and Anagnostopoulos A.N. "Separation of wideband chaotic signals in case of random external interference", Proc. National Conf. "Ultrawideband signals in radiolocation and acoustics-2003", 2003, July 1-3, Murom, Russia, pp. 348-352 (in Russian).

Andreyev Yu.V., Dmitriev A.S., Efremova E.V., and Anagnostopoulos A.N., "Separation of chaotic signal sum into components in the presence of noise", IEEE Trans. Circuits and Systems-I, 2003, vol. 50, No. 5, pp. 613-618.

Andreyev Yu.V., Dmitriev A.S., Efremova E.V., and Anagnostopoulos A.N., "Chaotic signal processing. Information aspects", Chaos, Solitons and Fractals, 2003, vol. 17, No. 2-3, pp. 531-544.

Andreyev, Yu.V., Dmitriev, A.S. and Efremova E.V., "Information approach to separation of chaotic signals", Nonlinear Phenomena in Complex Systems, 2002, vol. 5, no. 1, pp. 59-70.

Andreyev, Yu.V., Dmitriev, A.S. and Efremova E.V., "Dynamic separation of chaotic signals in the presence of noise", Phys. Rev. E, 2002, vol. 65, p. 046220.

Andreyev, Yu.V., Dmitriev, A.S. and Efremova E.V. "Separation of chaotic signals in noisy conditions", Radiotekhnika i elektronika, 2001, vol. 46, no. 12, pp. 1346-1355 (in Russian).

Yu.Andreyev, A.Dmitriev, and E.Efremova, "Chaotic signal processing. Information aspects", Abstracts Int. Conf. Applied Non-Linear Dynamics, Thessaloniki, Greece, August 27-30, 2001, p. 89.

Yu.V. Andreyev, A.S. Dmitriev, and E.V. Efremova, Dynamic Separation of Chaotic Signals in the Presence of Noise, (Electronic NonLinear Science Preprint, nlin.CD/0107036), (PDF, 12 pages, 6 figures).

Yu.V. Andreyev and A.A. Dmitriev, "A cryptosystem based on chaotic dynamics", Proc. Int. Symp. Signals Circuits Systems (SCS'2001), Iasi, Romania, July 10-11, 2001, pp. 57-60.

Andreyev, Yu.V. and Efremova E.V. "Noise threshold effect of chaotic signal separation", Proc. 9th Workshop on Nonlinear Dynamics of Electronic Systems (NDES'2001), Delft, Netherlands, June 21-23, 2001, pp. 185-188.

Andreyev Yu.V., Dmitriev A.S., Yemetz S.V., Panas A.I., Starkov S.O., Balabin A.M., Dmitriev A.A., Kishik V.V., Kuzmin L.V., Borisenko A.G. "Strategies of applying dynamic chaos in communication systems and computer networks. Chaotic encoder and channel encoder", Foreign radioelectronics. Advances of modern radioelectronics. 2000. No. 11. pp.4-26 (in Russian).

Dmitriev A.A., Andreyev Yu.V., Bulushev A.G. "Encoding information based on dynamical chaos", Foreign radioelectronics. Advances of modern radioelectronics. 2000. No. 11. pp.27-33 (in Russian).

Dmitriev A.S., Andreyev Yu.V., Kuzmin L.V., Panas A.I., Puzikov D.Yu., Starkov S.O., "Chaotic markers for communications", Proc. NOLTA-2000, September 17 - 21, 2000, Dresden, Germany, vol. 1, pp. 87-90.

Dmitriev A., Andreev Y., Belsky Y., Kuminov D., Panas A., Starkov S. "Method of objects recognition", Canadian Patent No. 2,164,417 (May 30, 2000).

Andreyev Yu.V., Dmitriev A.S., Yemetz S.V., Kuzmin L.V., Panas A.I., Puzikov D.Yu., and Starkov S.O., "Chaotic markers and asynchronous data transmission", Pisma v Zhurnal Tekhn. Fiziki, 2000, vol. 26, no. 14, pp. 53-59, (in Russian).

Andreyev, Yu.V., Dmitriev, A.S. and Efremova E.V. Separation of chaotic signals using their inherent dynamic nature, Proc. Int. Conf. Control of Oscillations and Chaos (COC-2000), St.Petersburg, Russia, July 5-7, 2000, vol. 3, pp. 418-422.

Andreyev Yu.V., Dmitriev A.S., Efremova E.V. and Pustovoit V.I. Separation of chaotic signals, Doklady Rossiyskoi Academii Nauk, 2000, vol. 45, no.1, pp. 187-190 (in Russian).

Andreyev, Yu.V., Dmitriev, A.S. and Efremova E.V. "Multiplexing chaotic signals in the presence of noise", I>Proc. Int. IEEE Symp. Curcuits and Systems (ISCAS-2000), 2000, vol. IV, pp. 441-444.

Andreyev Yu.V., Dmitriev A.S., Yemetz S.V., Panas A.I., Starkov S.O., Balabin A.M., Dmitriev A.A., Kishik V.V., Kuzmin L.V., Borisenko A.G., Strategies of applying dynamic chaos in communication systems and computer networks. Chaotic encoder and channel encoder, Preprint of IRE RAS. 2000. № 2(626).

Andreyev Yu.V. and Dmitriev A.S. Conditions for global synchronization in lattices of chaotic elements with local connections, International Journal of Bifurcation and Chaos, 1999, vol. 9, no. 12, pp. 2165-2172.

Andreyev Yu.V., Dmitriev A.S., and Ovsyannikov A.V. Information searching system "Forget-Me-Not" based on complex dynamics of nonlinear systems, Proc. 7th Int. Workshop NDES-99, 1999. Ronne, Denmark. pp.273-276.

Andreyev, Yu.V. Global synchronization in lattices of chaotic maps with sparse connections, Izv. VUZov, Prikladnaya nelineinaya dinamika, 1999, vol.7, no.1, pp.12-28. (in Russian).

Andreyev Yu.V., Dmitriev A.A., and Ovsyannikov A.V. Chaotic Processors and Content-Based Search of Information in Unstructured Data Bases, An Interdisciplinary Journal of Nonlinear Phenomena in Complex Systems, 1999, Vol. 2, No. 4, pp. 48-53.

Dmitriev, A. and Andreyev, Yu. Edge of spatiotemporal chaos in cellular nonlinear networks, Proc. CNNA'98, 1998. London, England. pp.100-105.

Andreyev, Yu.V., Dmitriev, A.S., and Starkov, S.O. Edge of spatial chaos in nonlinear networks with local connections, Proc. 6th Int. Workshop NDES-98, 1998. Budapest, Hungary. pp.145-148.

Dmitriev A., Andreev Y., Belsky Y., Kuminov D., Panas A., Starkov S. "Method of objects recognition", Patent of USA No. 5774587 (June 30, 1998).

Andreyev, Yu.V., Dmitriev, A.S., and Starkov, S.O., Information Processing in 1-D Systems with Chaos, IEEE Transactions on Circuits and Systems, 1997, vol. 44, pp. 21-28.

Andreyev, Yu.V., Dmitriev, A.S., and Kuminov, D.A. Chaotic processors, Advances in Modern Radioelectronics. (Foreign Radioelectronics), 1997, No. 10, pp.50-79 (in Russian).

Andreyev, Yu., Dmitriev, A., Kuminov, D. and Starkov, S. Maps with stored information in multiple-access communications systems, Proc. NDES'97. 1997. Moscow. Russia. pp.185-190.

Andreyev, Yu., Dmitriev, A., Kuminov, D. and Starkov, S. CDMA communications using maps with stored information, Proc. ECCTD'97, Budapest, Hungary, Aug.30-Sep.3, 1997 vol. 1, pp. 324-329.

Andreyev, Yu.V., Belsky, Yu.L., Dmitriev, A.S., and Kuminov, D.A., Information processing using dynamical chaos, IEEE Transactions on Neural Networks, 1996, vol. 7, pp. 290-299.

Andreyev, Yu.V., Dmitriev, A.S., Kuminov, D.A., Chua, L.O., and Wu, C.W., 1-D Maps, Chaos and Neural Networks For Information Processing, International Journal of Bifurcation and Chaos, 1996, vol. 6, No. 4, pp. 627-646.

Starkov, S.O., Andreyev, Yu.V., Dmitriev, A.S., Matveev, M.A., and Shirokov, M.E. Synchronization in the maps with stored information, Proc. 4-th Int. Workshop NDES-96, Seville, Spain. 1996, pp. 299-303.

Andreyev Yu.V., Dmitriev A.S., Kuminov D.A., and Pavlov V.V. Information processing in 1-D and 2-D Map: Recurrent and cellular neural networks implementation, Proc. 4-th Int. Workshop CNNA-96, Seville, Spain. 1996, pp. 297-301.

Andreyev, Yu.V. and Dmitriev, A.S. Fractal properties of speech signals, Abst. Int. Conf. Nonlinear Dynamics and Chaos ICND-96, Saratov, Russia. July 8-14,1996, p. 13.

Dmitriev, A.S., Andreyev, Yu.V., Belsky, Yu.L., Kuminov, D.A., Panas, A.I., Starkov, S.O. "Method of objects recognition", Patent of Russian Federation No. 2050072, December 10, 1995 (priority March 3, 1994).

Andreyev, Yu.V. Attractors and bifurcation phenomena in 1-D dynamic systems with stored information, Izv. VUZov, Prikladnaya nelineinaya dinamika, 1995, vol.3, No. 5, pp.3-15 (in Russian).

Andreyev, Yu.V., Dmitriev, A.S., and Matveev, M.A. Application of chaotic dynamical systems to the problems of recognition and classification, Proc. 3-rd Int. Workshop NDES-95, Dublin, Ireland. 1995, pp. 249-252.

Andreyev, Yu.V., and Dmitriev, A.S. Storing and retrieving pictires in 1-D dynamic systems, Radiotekhnika i elektronika, 1994, vol. 39, no. 1, pp.104-113 (in Russian).

Andreyev, Yu.V., Belsky, Yu.L., and Dmitriev, A.S. Storing and retrieving information as stable cycles of 2-D and multi-dimensional maps, Radiotekhnika i elektronika, 1994, vol. 39, no. 1, pp.114-123 (in Russian)

Andreyev, Yu.V., Belsky, Yu.L., Dmitriev, A.S., and Kuminov, D.A. Dynamic chaotic systems as a medium for storing and processing information, Izv. VUZov, Radiofizika, 1994, vol.37, pp. 1003-1019 (in Russian).

Andreyev, Yu.V., Dmitriev, A.S., and Starkov, S.O. Processing pictures in one-dimensional dynamic systems. Software pack 'InformChaos', Preprint IRE RAS, IRE RAS, Moscow, 1993, No. 2(584) (in Russian).

Andreyev Yu.V., Belsky Yu.L., Dmitriev A.S. Information processing in nonlinear systems with dynamic chaos, Proc. Int. Seminar Nonlinear Circuits and Systems, Moscow, Russia, 1992, Vol.1, pp.51-60.

Andreyev, Yu.V., Dmitriev, A.S., Chua, L.O. and Wu, C.W. "Associative and Random Access Memory Using One-Dimensional Maps", Int. Journal of Bifurcation and Chaos, 1992, vol. 3, pp. 483-504.

Andreyev, Yu., Belsky, Yu., Dmitriev, A., and Kuminov, D. Inhomogeneos cellular neural networks: Possibility of functional device design, Proc. 2nd Int. Workshop CNNA-92, Munich, Germany, 1992, pp.135-140.

Study of Lattices of Chaotic Maps

This study is devoted to investigation of the conditions for stability of global synchronous mode in 1D, 2D and 3D lattices of chaotic maps. The lattices with only local connections are found to have a limit value of the Lyapunov exponent of the maps, making up the lattice, above which value the synchronous mode becomes unstable. This synchronous mode was found to be impossible in large lattices due to local character, i.e., due to small action range of the connections. We propose the following approaches that can provide the synchronous mode stability:

• tuning the dynamic mode of the lattice maps,
• increasing the size of the local neighborhood,
• using nonlocal static or dynamic connections,
• external controlling node (a pacemaker).

Here you can find the description of this study of the map lattices, the obtained results, and the tools (MATLAB programs) used in this study.

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