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Volumn 254, Issue , 2009, Pages 77-115

Cumulant analysis of strange Attractors: Theory and applications

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EID: 78049319977     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-04227-0_4     Document Type: Article
Times cited : (10)

References (53)
  • 1
    • 35949018382 scopus 로고
    • Ergodic theory and strange attractors
    • Eckmann, J., Ruelle, D.: Ergodic theory and strange attractors. Review of Modern Physics 57, 617-656 (1985)
    • (1985) Review of Modern Physics , vol.57 , pp. 617-656
    • Eckmann, J.1    Ruelle, D.2
  • 4
    • 78049289993 scopus 로고
    • Cumulant analysis of random non-gaussian process and their transformation
    • in Russian
    • Malakhov, A.: Cumulant analysis of random non-gaussian process and their transformation. Sovetskoe Radio (1976) (in Russian)
    • (1976) Sovetskoe Radio
    • Malakhov, A.1
  • 10
    • 0002404136 scopus 로고    scopus 로고
    • Fractional kinetics of hamiltonian chaotic systems
    • World Scientific, Singapore
    • Zaslavsky, G. M.: Fractional kinetics of hamiltonian chaotic systems. From Applications of Fractional Calculus in Physics, pp. 203-239. World Scientific, Singapore (1998)
    • (1998) From Applications of Fractional Calculus in Physics , pp. 203-239
    • Zaslavsky, G.M.1
  • 11
    • 4644349420 scopus 로고    scopus 로고
    • Non-linear methods in information processing: Modelling, numerical simulation and application
    • Serie B: Aplications & Algorithms
    • Kontorovich, V., Lyandres, V., Primak, S.: Non-linear methods in information processing: modelling, numerical simulation and application. Dynamics of Continuous, Discrete and Impulsive Systems, Serie B: Aplications & Algorithms 10, 417-428 (2003)
    • (2003) Dynamics of Continuous, Discrete and Impulsive Systems , vol.10 , pp. 417-428
    • Kontorovich, V.1    Lyandres, V.2    Primak, S.3
  • 12
    • 18144408075 scopus 로고    scopus 로고
    • Anomalous diffusion and relaxation close to thermal equilibrium: A fractional fokker-plank equation approach
    • Metzler, R., Barkai, E., Klafter, J.: Anomalous diffusion and relaxation close to thermal equilibrium: A fractional fokker-plank equation approach. Physical Review Letters 82, 3563-3567 (1999)
    • (1999) Physical Review Letters , vol.82 , pp. 3563-3567
    • Metzler, R.1    Barkai, E.2    Klafter, J.3
  • 13
    • 41349119323 scopus 로고    scopus 로고
    • Anomalous rotational relaxation: A fractional fokker-plank equation approach
    • Aydmer, E.: Anomalous rotational relaxation: A fractional fokker-plank equation approach. Physical Review E71, 046103(2005)
    • (2005) Physical Review , vol.E71 , pp. 046103
    • Aydmer, E.1
  • 16
    • 0032683575 scopus 로고    scopus 로고
    • Non-gaussian noise models in signal processing for telecommunications: New methods and results for class a and class b noise models
    • Middleton, D.: Non-gaussian noise models in signal processing for telecommunications: New methods and results for class a and class b noise models. IEEE Trans. on IT 15(4), 1129-1148 (1999)
    • (1999) IEEE Trans. on IT , vol.15 , Issue.4 , pp. 1129-1148
    • Middleton, D.1
  • 18
    • 23244438756 scopus 로고    scopus 로고
    • Mixing and spectral-correlation properties of chaotic and stochastic systems: Numerical and physical experiments
    • Anischenko, V., et al.: Mixing and spectral-correlation properties of chaotic and stochastic systems: numerical and physical experiments. New Journal of Physics 7(76), 1-29 (2005)
    • (2005) New Journal of Physics , vol.7 , Issue.76 , pp. 1-29
    • Anischenko, V.1
  • 19
    • 19944367601 scopus 로고    scopus 로고
    • Statistical properties of dynamical chaos
    • Anischenko, V. S., et al.: Statistical properties of dynamical chaos. Physics-Uspehi 48(2), 151-166 (2005)
    • (2005) Physics-Uspehi , vol.48 , Issue.2 , pp. 151-166
    • Anischenko, V.S.1
  • 21
    • 34548442407 scopus 로고    scopus 로고
    • Applied statistical analysis for strange attractors and related problems
    • Kontorovich, V.: Applied statistical analysis for strange attractors and related problems. Mathematical Methods in Applied Science 30, 1705-1717 (2007)
    • (2007) Mathematical Methods in Applied Science , vol.30 , pp. 1705-1717
    • Kontorovich, V.1
  • 24
    • 33746734321 scopus 로고    scopus 로고
    • Detecting orbits of high periods from numerical solutions of the rössler system
    • Kukharenco, B. G.: Detecting orbits of high periods from numerical solutions of the rössler system. In: Int. IEEE Sym. Phys. Com., pp. 866-871 (2005)
    • (2005) Int. IEEE Sym. Phys. Com. , pp. 866-871
    • Kukharenco, B.G.1
  • 25
  • 27
    • 0001463465 scopus 로고
    • Statistical description of chaotic attractors: The dimension function
    • Badit, R., Polite, A.: Statistical description of chaotic attractors: The dimension function. Journal of Statistical Physics 40 (5/6) (1985)
    • (1985) Journal of Statistical Physics , vol.40 , Issue.5-6
    • Badit, R.1    Polite, A.2
  • 30
    • 1442273672 scopus 로고    scopus 로고
    • Chaos communications principles, schemes, and system analysis
    • Abel, X., Schwartz, W.: Chaos communications principles, schemes, and system analysis. Special Issue, Proceedings of the IEEE 90, 691-710 (2002)
    • (2002) Special Issue, Proceedings of the IEEE , vol.90 , pp. 691-710
    • Abel, X.1    Schwartz, W.2
  • 31
    • 0034505522 scopus 로고    scopus 로고
    • Simulation of error process on mobile radio channels based on chaos equations
    • Boston, MA, September 2000
    • Costamagna, E., Favalli, L., Rizzardi, M.: Simulation of error process on mobile radio channels based on chaos equations. In: Proc. 52nd IEEE Vehicular Technology Conference, Boston, MA, September 2000, pp. 1866-1873 (2000)
    • (2000) Proc. 52nd IEEE Vehicular Technology Conference , pp. 1866-1873
    • Costamagna, E.1    Favalli, L.2    Rizzardi, M.3
  • 32
    • 85019566198 scopus 로고    scopus 로고
    • Signal modeling using piecewise linear chaotic generators
    • Island of Rhodes, Greece, September 1998
    • Schimming, T., Goetz, M., Schwarz, W.: Signal modeling using piecewise linear chaotic generators. In: Proc. Eur. Signal Processing Conf., V. III, Island of Rhodes, Greece, September 1998, pp. 1377-1380 (1998)
    • (1998) Proc. Eur. Signal Processing Conf. , vol.3 , pp. 1377-1380
    • Schimming, T.1    Goetz, M.2    Schwarz, W.3
  • 35
    • 0030382662 scopus 로고    scopus 로고
    • Gamba: Satellite channels modeled by chaotic bit error generators
    • Vatalaro, F. ed., Springer, Berlin
    • Benelli, G., Costamagna, E., Favalli, L., Gamba: Satellite channels modeled by chaotic bit error generators. In: Vatalaro, F. (ed.) Mobile and Personal Communications 2., pp. 139-149. Springer, Berlin (1996)
    • (1996) Mobile and Personal Communications , vol.2 , pp. 139-149
    • Benelli, G.1    Costamagna, E.2    Favalli, L.3
  • 36
    • 0033358310 scopus 로고    scopus 로고
    • Block-error probabilities for mobile radio channels derived from chaos equations
    • Costamagna, E., Favalli, L., Gamba, P., Savazzi, P.: Block-error probabilities for mobile radio channels derived from chaos equations. IEEE Communications Letters 3, 66-68 (1999)
    • (1999) IEEE Communications Letters , vol.3 , pp. 66-68
    • Costamagna, E.1    Favalli, L.2    Gamba, P.3    Savazzi, P.4
  • 40
    • 33746726434 scopus 로고    scopus 로고
    • Possible effects of spread-spectrum-clock interference on wideband radiocommunication services
    • August
    • Stecher, M.: Possible effects of spread-spectrum-clock interference on wideband radiocommunication services. In: Int. Symp. on Electromagnetic Compatibility, vol. 1, pp. 60-63 (August 2005)
    • (2005) Int. Symp. on Electromagnetic Compatibility , vol.1 , pp. 60-63
    • Stecher, M.1
  • 41
    • 33947243942 scopus 로고    scopus 로고
    • Estimating the amplitude reduction of clock harmonics due to frequency modulation
    • Matsumoto, Y., Fujii, K., Sugiera, A.: Estimating the amplitude reduction of clock harmonics due to frequency modulation. IEEE Trans. on Electromagnetic Compatibility 48(4), 734-741 (2006)
    • (2006) IEEE Trans. on Electromagnetic Compatibility , vol.48 , Issue.4 , pp. 734-741
    • Matsumoto, Y.1    Fujii, K.2    Sugiera, A.3
  • 46
    • 0035000847 scopus 로고    scopus 로고
    • Modeling speech-interfering noise with applied chaos theory
    • April 2001
    • Patterson, E. K., Gowdy, J. N.: Modeling speech-interfering noise with applied chaos theory. In: IEEE Southeast Conf. 2001. Proceedings, April 2001, pp. 229-233 (2001)
    • (2001) IEEE Southeast Conf. 2001. Proceedings , pp. 229-233
    • Patterson, E.K.1    Gowdy, J.N.2
  • 47
    • 0842331120 scopus 로고    scopus 로고
    • Chaos-based generation pf pwm-like signals for low-emi induction motor drives: Analysis and experimental results
    • January 2004
    • Balestra, M., Bellini, A., Callegari, S., Rovatti, R., Setti, G.: Chaos-based generation pf pwm-like signals for low-emi induction motor drives: analysis and experimental results. In: IEICE Trans. on Electronics, January 2004, vol. E87-C, pp. 66-75 (2004)
    • (2004) IEICE Trans. on Electronics , vol.E87-C , pp. 66-75
    • Balestra, M.1    Bellini, A.2    Callegari, S.3    Rovatti, R.4    Setti, G.5
  • 48
    • 0038532763 scopus 로고    scopus 로고
    • Statistical modeling of discrete-time chaotic processes - Basic finite-dimensional tools and applications
    • DOI 10.1109/JPROC.2002.1015001, PII S0018921902052507
    • Rovatti, R., Mazzini, G., Setti, G., Giovanardi, A.: Statistical modeling and design of discrete-time chaotic processes: advanced finite-dimensional tools and applications. Proceedings of the IEEE 90, 662-690 (2002) (Pubitemid 43779266)
    • (2002) Proceedings of the IEEE , vol.90 , Issue.5 , pp. 662-690
    • Setti, G.1    Mazzini, G.2    Rovatti, R.3    Callegari, S.4
  • 52
    • 0001463465 scopus 로고
    • Statistical description of chaotic attractors: The dimension function
    • Badii, R., Politi, A.: Statistical description of chaotic attractors: The dimension function. Journal of Statistical Physics 40 (5/6), 725-749 (1985)
    • (1985) Journal of Statistical Physics , vol.40 , Issue.5-6 , pp. 725-749
    • Badii, R.1    Politi, A.2
  • 53
    • 0024627335 scopus 로고
    • Information and entropy in strange attractors
    • Fraser, A.: Information and entropy in strange attractors. IEEE Trans. on Information Theory 35, 245-261 (1989)
    • (1989) IEEE Trans. on Information Theory , vol.35 , pp. 245-261
    • Fraser, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.