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研究生:許乙芳
研究生(外文):YiFang Shiu
論文名稱:互動函數在網格上的同步現象
論文名稱(外文):Synchronization for Various Coupled Maps Lattices
指導教授:莊重莊重引用關係
指導教授(外文):Jonq Juang
學位類別:碩士
校院名稱:國立交通大學
系所名稱:應用數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:30
中文關鍵詞:同步
外文關鍵詞:Synchronization
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  • 下載下載:9
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此篇論文主要的目是介紹三種不同的相互連結系統,並考慮四種不同的函數若分別作用在上述系統中的其中一種,則其同步情形為何。

We consider the lattices of coupling various type of interval maps such as tent map, tent-quadratic map, piecewise cubic map and piecewise quadratic map with the following three types of formulations. We prove that synchronization occurs for the case of 1D lattice with lattice size n = 2, 3,4,5 provided the coupling strength c is chosen in a suitable open interval contained in [0,0.5 ] and show the numerical results about it.

1 Introduction......................................5
2 Preliminaries.....................................9
3 Tent map.........................................10
4 Piecewise cubic map..............................12
5 Piecewise quadratic map..........................14
6 Tent-quadratic map...............................16
7 Conclusion.......................................18
8 References.......................................18

[1] A. F. Kleptsyn, V. S. Kozyakin, M. A. Krasnosel’skii, and N. A. Kuzentsov, “E®ect
of small synchronization errors on stability of complex system —I,” Automat. Remote
Contr. 44 (1983), 861-867.
[2] A. F. Kleptsyn, V. S. Kozyakin, M. A. Krasnosel’skii, and N. A. Kuzentsov, “E®ect of
small synchronization errors on stability of complex system —II,” Automat. Remote
Contr. 45 (1984), 309-314.
[3] A. F. Kleptsyn, V. S. Kozyakin, M. A. Krasnosel’skii, and N. A. Kuzentsov, “E®ect of
small synchronization errors on stability of complex system —III,” Automat. Remote
Contr. 45 (1984), 1014-1018.
[4] Afraimovich, V.S. and Bunimovich, L.A. “Simplest structures in coupled mpa lattices
and their stabilities,” Random Comut. Dyn. 1 (1993), 423-444.
[5] Afraimovich, V.S., Chow, S.-N. and Hale, J.K. “Synchronization in lattices of coupled
oscillators,” Physica D 103 (1997), 445-451.
[6] Afraimovich, V.S., Chow, S.-N., Verichev, N.N. and Rabinnovich, M.I. “Stochastic
synchronization of oscillations in dissipative systems,” Radio Phys. Quant. Electr.
29 (1986), 747-751.
[7] Amit Bhaya, Member, IEEE, Eugenius Kaszkurewicz , and Victor S. Kozyakin, “Existence
and Stability of a Unique Equilibrium in Continuous-Valued Discrete-Time
Asynchronous Hopfield Neural Networks,” IEEE Trans. Neural Networks 7 (1996),
no. 3, 620-628.
[8] Amritkar, R.E., Gade, P.M. and Gangal, A.D. “Stability of periodic orbits of coupled
map lattices,” Phys. Rev. A 44 (6) (1991), 3407-3410.
[9] Bunimovich, L.A. “Coupled map lattices: Some topological and ergodic properties,”
Physica D 103 (1997), 1-17.
[10] Bunimovich, L.A. and Carlen, E.A. “on the problem of stability in lattice dynamical
systems,” J. Di®. Eq. 123 (1995), 213-229.
[11] Campbell, D. “An introduction to nonlinear dynamics,” in Lectures in the Sciences
of Complexity, ed. Stein, D. L., (Addison-Wesley, Reading, MA), 1989.
[12] Chow, S.-N. and Shen, W. “Stability and bifurcation of traveling wave solutions in
coupled map lattices,” Dynamic syst. Appl. 4 (1995), 1-25.
[13] Collet, P. and Eckmann, J.-P. “On the abundance of apperiodic behaviour for maps
on the interval,” Comm. Math. Phys. 73 (1980), no. 2, 115-160.
[14] Cuomo, K.M. and Oppenheim, A.V. “Synchronized chaotic circuits and systems for
communications,” Electr. TR. MIT Res. Lab. 1992, p. 575.
[15] Cuomo, K.M. avd Oppenheim, A.V. “circuit implementation of synchronized chaos,
with applications to communications,” Phys. Rev. Lett. 71 (1993), p. 65.
[16] D. P. Bertsekas, and J. N. Tsitsiklis, “Parallel and Distributed Computation-
Numerical Methods,” Englewood Cli®s, New Jersey: Prentice-Hall, 1989.
[17] E. A. Asarin, V. S. Kozyakin, M. A. Krasnosel’skii and N. A. Kuzentsov, “Stability
Analysis of Desynchronized Discrete-Event Systems, (in Russian),” Moscow: Nauka,
1992.
[18] E. Kaszkurewice, A. Bhaya, and D. D. ˘ Siljak, “On the convergence of parallel asynchronous
block-iterative computations,” Lin. Algebra Applicat., 131 (1990), 139-160.
[19] Giberti, C. and Vernia, C. “Periodic behavior in 1D and 2D coupled map lattices of
small size,” Chaos 4 (1994), 651-664.
[20] Gleick, J. “Chaos: Making a New Science (Viking, New York),” 1987.
[21] Heagy, J.F., Carroll, T.L. and Pecora, L.M. “Synchronization with application to
communication,” Phys. Rev. Lett. 74 (25) (1995), 5028-5031.
[22] H´enon, M. ”A two-dimensional mapping with a strange attractor,” Commun. Math.
Phys. 50 (1976), 69-77.
[23] J. J. Hopfield, “Neuronal networks and physical system with emergent collective computational
abilities,” in Proc. Nat. Acad. Sci, 79 (1982), 2554-2558.
[24] J. J. Hopfield, “Neurous with graded response have collective computational properties
like those of two-state neurous,” Proc. Nat. Acad. Sci., 81 (1984), 3088-3092.
[25] Kaneko, K., Editor, “Theory and Applications of Coupled Map Lattices,” (Wiley,New
York), 1993.
[26] Lin, W.W., Peng, C.C. andWang, C.S. “Synchronization in coupled map lattices with
periodic boundary condition,” Int. J. Bifurcation and Chaos 9 (8) (1999), 1635-1652.
[27] M. Takeda and J. W. Goodman, “Neural networks for computation: Number repesentations
and programmung complexity,” Appl.Opt. 25 (1986) no. 18, 3033-3046.
[28] Pecora, L.M., Carroll, T.L. “Synchronization in chaotic systems,” Phys. Rev. Lett.
64 (1990), 821-824.
[29] Pecora, L.M., Carroll, T.L., Johnson, G.A., Mar, D.J. and Heagy, J.F. “Fundamentals
of synchronization in chaotic systems, concept and applications,” Chaos 6 (1997),
262-276.
[30] Robert L. Devaney, “An introduction to chaotic dynamical systems 2nd ,” 1989.
[31] S. Y. Kung, “Digital Neural Networks,” Englewood Cli®s, N.J.: Prentice-Hall, 1993.
[32] T. J. Sejnowski, “Open questions about computation in cerebral cortex,” in Parallel
Distributed Processing: Explorations in the Microstructure of Cognition, vol. II.
Cambridge, MA: MIT Press ,pp. 372-389, 1986.
[33] Smith, J. “Mathematical Ideas in Biology,” (Cambridge Press, Cambridge), 1968.
[34] Udwadia, Firdaus E. and Guttalu, Ramesh S. “Chaotic dynamics of a piecewise cubic
map,” Phys. Rev. A (3) 40 (1989), no. 7, 4032-4044.
[35] V. S. Kozyakin, “Stability of linear desynchronized system with unsymmetric matrices,”
Automat. Remote Contr. 52 (1981), 928-933.
[36] Vohra, S., Spano, M., Shlesinger, M., Pecora, L. and Ditto, W. “Proceedings of the
First Experimental Chaos Conference (World Scientific, Singapore),” 1992.
[37] Wen-Wei Lin and Yi-Qian Wang “Synchronized chaos in coupled map lattices with
periodic boundary condition,” SIAM Dynam. System. accepted.
[38] Wu, C. W. and Chua, L. O. “A unified framework for synchronizations and control
of dynamical systems” Int. J. Bifur. and Chaos 4 (1994), 979-988.

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