Journal articles: 'Dynamical chaos'

1

Brandon, John, and Edward Ott. "Chaos in Dynamical Systems." Mathematical Gazette 79, no. 484 (March 1995): 233. http://dx.doi.org/10.2307/3620113.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Bohn, John L. "Chaos and Dynamical Systems." American Journal of Physics 88, no. 4 (April 2020): 335–36. http://dx.doi.org/10.1119/10.0000678.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Chandra Bag, Bidhan, and Deb Shankar Ray. "Environment-induced dynamical chaos." Physical Review E 62, no. 3 (September 1, 2000): 4409–12. http://dx.doi.org/10.1103/physreve.62.4409.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Ott, Edward, and Kurt Wiesenfeld. "Chaos in Dynamical Systems." Physics Today 47, no. 1 (January 1994): 45. http://dx.doi.org/10.1063/1.2808369.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Casati, Giulio, and Davide Rossini. "Dynamical Chaos and Decoherence." Progress of Theoretical Physics Supplement 166 (2007): 70–84. http://dx.doi.org/10.1143/ptps.166.70.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Rota, Gian-Carlo. "Dynamical systems and chaos." Advances in Mathematics 56, no. 3 (June 1985): 319. http://dx.doi.org/10.1016/0001-8708(85)90042-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Hastings, Alan. "Chaos in dynamical systems." Bulletin of Mathematical Biology 57, no. 6 (November 1995): 943–44. http://dx.doi.org/10.1007/bf02458303.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Martínez-Giménez, Félix, Alfred Peris, and Francisco Rodenas. "Chaos on Fuzzy Dynamical Systems." Mathematics 9, no. 20 (October 18, 2021): 2629. http://dx.doi.org/10.3390/math9202629.

Full text

Abstract:

Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with compact support. Each of these spaces can be endowed with a respective metric. In this work, we studied the relationships among the dynamical systems (X,f), (K(X),f¯), and (F(X),f^). In particular, we considered several dynamical properties related to chaos: Devaney chaos, A-transitivity, Li–Yorke chaos, and distributional chaos, extending some results in work by Jardón, Sánchez and Sanchis (Mathematics 2020, 8, 1862) and work by Bernardes, Peris and Rodenas (Integr. Equ. Oper. Theory 2017, 88, 451–463). Especial attention is given to the dynamics of (continuous and linear) operators on metrizable topological vector spaces (linear dynamics).

APA, Harvard, Vancouver, ISO, and other styles

9

BROWN, RAY, ROBERT BEREZDIVIN, and LEON O. CHUA. "CHAOS AND COMPLEXITY." International Journal of Bifurcation and Chaos 11, no. 01 (January 2001): 19–26. http://dx.doi.org/10.1142/s0218127401001992.

Full text

Abstract:

In this paper we show how to relate a form of high-dimensional complexity to chaotic and other types of dynamical systems. The derivation shows how "near-chaotic" complexity can arise without the presence of homoclinic tangles or positive Lyapunov exponents. The relationship we derive follows from the observation that the elements of invariant finite integer lattices of high-dimensional dynamical systems can, themselves, be viewed as single integers rather than coordinates of a point in n-space. From this observation it is possible to construct high-dimensional dynamical systems which have properties of shifts but for which there is no conventional topological conjugacy to a shift. The particular manner in which the shift appears in high-dimensional dynamical systems suggests that some forms of complexity arise from the presence of chaotic dynamics which are obscured by the large dimensionality of the system domain.

APA, Harvard, Vancouver, ISO, and other styles

10

Inoue, Kei. "Analysis of Chaotic Dynamics by the Extended Entropic Chaos Degree." Entropy 24, no. 6 (June 14, 2022): 827. http://dx.doi.org/10.3390/e24060827.

Full text

Abstract:

The Lyapunov exponent is the most-well-known measure for quantifying chaos in a dynamical system. However, its computation for any time series without information regarding a dynamical system is challenging because the Jacobian matrix of the map generating the dynamical system is required. The entropic chaos degree measures the chaos of a dynamical system as an information quantity in the framework of Information Dynamics and can be directly computed for any time series even if the dynamical system is unknown. A recent study introduced the extended entropic chaos degree, which attained the same value as the total sum of the Lyapunov exponents under typical chaotic conditions. Moreover, an improved calculation formula for the extended entropic chaos degree was recently proposed to obtain appropriate numerical computation results for multidimensional chaotic maps. This study shows that all Lyapunov exponents of a chaotic map can be estimated to calculate the extended entropic chaos degree and proposes a computational algorithm for the extended entropic chaos degree; furthermore, this computational algorithm was applied to one and two-dimensional chaotic maps. The results indicate that the extended entropic chaos degree may be a viable alternative to the Lyapunov exponent for both one and two-dimensional chaotic dynamics.

APA, Harvard, Vancouver, ISO, and other styles

11

Anishchenko, Vadim, Tatjana Vadivasova, Galina Strelkova, and George Okrokvertskhov. "Statistical properties of dynamical chaos." Mathematical Biosciences and Engineering 1, no. 1 (March 2004): 161–84. http://dx.doi.org/10.3934/mbe.2004.1.161.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Alekseev, K. N., G. P. Berman, V. I. Tsifrinovich, and A. M. Frishman. "Dynamical chaos in magnetic systems." Uspekhi Fizicheskih Nauk 162, no. 7 (1992): 81. http://dx.doi.org/10.3367/ufnr.0162.199207b.0081.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Gonchenko, S. V. "Three Forms of Dynamical Chaos." Radiophysics and Quantum Electronics 63, no. 9-10 (February 2021): 756–75. http://dx.doi.org/10.1007/s11141-021-10094-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Tanusit, Manlika, and Kreangkri Ratchagit. "Controlling chaos in dynamical systems." American Journal of Scientific and Industrial Research 2, no. 2 (April 2011): 307–9. http://dx.doi.org/10.5251/ajsir.2011.2.2.307.309.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Lazerson, Alexandr Grigor'evich, and Alexey Alexeevich Boikov. "Dynamical Chaos In Quantum Systems." Izvestiya of Saratov University. New series. Series: Physics 10, no. 1 (2010): 58–64. http://dx.doi.org/10.18500/1817-3020-2010-10-1-58-64.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Kay, Mary. "Dynamical Systems, Fractals and Chaos." Science & Technology Libraries 9, no. 3 (July 11, 1989): 57–62. http://dx.doi.org/10.1300/j122v09n03_06.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Anishchenko, Vadim S., Tat'yana E. Vadivasova, G. A. Okrokvertskhov, and Galina I. Strelkova. "Statistical properties of dynamical chaos." Physics-Uspekhi 48, no. 2 (February 28, 2005): 151–66. http://dx.doi.org/10.1070/pu2005v048n02abeh002070.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Wang, Lidong, Heng Liu, and Yuelin Gao. "Chaos for Discrete Dynamical System." Journal of Applied Mathematics 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/212036.

Full text

Abstract:

We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in the strong sense of Li-Yorke.

APA, Harvard, Vancouver, ISO, and other styles

19

Anishchenko, Vadim S., Tat'yana E. Vadivasova, G. A. Okrokvertskhov, and Galina I. Strelkova. "Statistical properties of dynamical chaos." Uspekhi Fizicheskih Nauk 175, no. 2 (2005): 163. http://dx.doi.org/10.3367/ufnr.0175.200502c.0163.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Matinyan, Sergei G., and Berndt Müller. "Quantum Fluctuations and Dynamical Chaos." Physical Review Letters 78, no. 13 (March 31, 1997): 2515–18. http://dx.doi.org/10.1103/physrevlett.78.2515.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Alekseev, K. N., G. P. Berman, V. I. Tsifrinovich, and A. M. Frishman. "Dynamical chaos in magnetic systems." Soviet Physics Uspekhi 35, no. 7 (July 31, 1992): 572–90. http://dx.doi.org/10.1070/pu1992v035n07abeh002248.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Ray, Somrita, Alendu Baura, and Bidhan Chandra Bag. "Magnetic field induced dynamical chaos." Chaos: An Interdisciplinary Journal of Nonlinear Science 23, no. 4 (December 2013): 043121. http://dx.doi.org/10.1063/1.4832175.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Anishchenko, V. S., T. E. Vadivasova, G. A. Okrokvertskhov, and G. I. Strelkova. "Correlation analysis of dynamical chaos." Physica A: Statistical Mechanics and its Applications 325, no. 1-2 (July 2003): 199–212. http://dx.doi.org/10.1016/s0378-4371(03)00199-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Benatti, Fabio, Thomas Hudetz, and Andreas Knauf. "Quantum Chaos and Dynamical Entropy." Communications in Mathematical Physics 198, no. 3 (November 1, 1998): 607–88. http://dx.doi.org/10.1007/s002200050489.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Gaponov‐Grekhov, Andrei V., and Mikhail I. Robinovich. "Disorder, Dynamical Chaos and Structures." Physics Today 43, no. 7 (July 1990): 30–38. http://dx.doi.org/10.1063/1.881250.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Bobok, Jozef. "Chaos in countable dynamical system." Topology and its Applications 126, no. 1-2 (November 2002): 207–16. http://dx.doi.org/10.1016/s0166-8641(02)00079-2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Zhang, Fuchen, and Min Xiao. "Complex Dynamical Behaviors of Lorenz-Stenflo Equations." Mathematics 7, no. 6 (June 5, 2019): 513. http://dx.doi.org/10.3390/math7060513.

Full text

Abstract:

A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. The innovation of this paper is that it not only proves this system is globally bounded but also provides a series of global attraction sets of this system. The rate of trajectories entering from the exterior of the trapping domain to its interior is also obtained. Finally, the detailed numerical simulations are carried out to justify theoretical results. The results in this study can be used to study chaos control and chaos synchronization of this chaos system.

APA, Harvard, Vancouver, ISO, and other styles

28

MUSIELAK, Z. E., and D. E. MUSIELAK. "HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 19, no. 09 (September 2009): 2823–69. http://dx.doi.org/10.1142/s0218127409024517.

Full text

Abstract:

Studies of nonlinear dynamical systems with many degrees of freedom show that the behavior of these systems is significantly different as compared with the behavior of systems with less than two degrees of freedom. These findings motivated us to carry out a survey of research focusing on the behavior of high-dimensional chaos, which include onset of chaos, routes to chaos and the persistence of chaos. This paper reports on various methods of generating and investigating nonlinear, dissipative and driven dynamical systems that exhibit high-dimensional chaos, and reviews recent results in this new field of research. We study high-dimensional Lorenz, Duffing, Rössler and Van der Pol oscillators, modified canonical Chua's circuits, and other dynamical systems and maps, and we formulate general rules of high-dimensional chaos. Basic techniques of chaos control and synchronization developed for high-dimensional dynamical systems are also reviewed.

APA, Harvard, Vancouver, ISO, and other styles

29

MAISTRENKO, YURI L., OLEKSANDR V. POPOVYCH, and PETER A. TASS. "CHAOTIC ATTRACTOR IN THE KURAMOTO MODEL." International Journal of Bifurcation and Chaos 15, no. 11 (November 2005): 3457–66. http://dx.doi.org/10.1142/s0218127405014155.

Full text

Abstract:

The Kuramoto model of globally coupled phase oscillators is an essentially nonlinear dynamical system with a rich dynamics including synchronization and chaos. We study the Kuramoto model from the standpoint of bifurcation and chaos theory of low-dimensional dynamical systems. We find a chaotic attractor in the four-dimensional Kuramoto model and study its origin. The torus destruction scenario is one of the major mechanisms by which chaos arises. L. P. Shilnikov has made decisive contributions to its discovery. We show also that in the Kuramoto model the transition to chaos is in accordance with the torus destruction scenario. We present the general bifurcation diagram containing phase chaos, Cherry flow as well as periodic and quasiperiodic dynamics.

APA, Harvard, Vancouver, ISO, and other styles

30

ZHONG, GUO-QUN, KIM F. MAN, and GUANRONG CHEN. "GENERATING CHAOS VIA A DYNAMICAL CONTROLLER." International Journal of Bifurcation and Chaos 11, no. 03 (March 2001): 865–69. http://dx.doi.org/10.1142/s0218127401002456.

Full text

Abstract:

This Letter studies the generation of chaos from a linear autonomous system by employing a dynamical nonlinear feedback controller. The system setup is quite simple, and the only nonlinearity is a piecewise-quadratic function in the form of x|x|. Both computer simulation and circuit implementation are given to verify the chaos generated by this mechanism.

APA, Harvard, Vancouver, ISO, and other styles

31

Shahrear, Pabel, Leon Glass, and Roderick Edwards. "Collapsing chaos." Texts in Biomathematics 1 (December 21, 2017): 35. http://dx.doi.org/10.11145/texts.2017.12.163.

Full text

Abstract:

Genetic networks play a fundamental role in the regulation and control of the development and function of organisms. A simple model of gene networks assumes that a gene can be switched on or off as regulatory inputs to the gene cross critical thresholds. In studies of dynamics of such networks, we found unusual dynamical behavior in which phase plane trajectories display irregular dynamics that shrink over long times. This observation leads us to identify a type of dynamics, that can be described as collapsing chaos, in which the Lyapunov exponent is positive, but points on the trajectory approach the origin in the long time limit.

APA, Harvard, Vancouver, ISO, and other styles

32

Albers, D. J., J. C. Sprott, and W. D. Dechert. "Routes to Chaos in Neural Networks with Random Weights." International Journal of Bifurcation and Chaos 08, no. 07 (July 1998): 1463–78. http://dx.doi.org/10.1142/s0218127498001121.

Full text

Abstract:

Neural networks are dense in the space of dynamical system. We present a Monte Carlo study of the dynamic properties along the route to chaos over random dynamical system function space by randomly sampling the neural network function space. Our results show that as the dimension of the system (the number of dynamical variables) is increased, the probability of chaos approaches unity. We present theoretical and numerical results which show that as the dimension is increased, the quasiperiodic route to chaos is the dominant route. We also qualitatively analyze the dynamics along the route.

APA, Harvard, Vancouver, ISO, and other styles

33

CHANG, SHU-MING, WEN-WEI LIN, and TAI-CHIA LIN. "CHAOTIC AND QUASIPERIODIC MOTIONS OF THREE PLANAR CHARGED PARTICLES." International Journal of Bifurcation and Chaos 11, no. 07 (July 2001): 1937–51. http://dx.doi.org/10.1142/s0218127401003127.

Full text

Abstract:

We study two dynamical systems for the motion of three planar charged particles with charges nj ∈ {±1}, j = 1, 2, 3. Both dynamical systems are parametric with a parameter α ∈ [0, 1] and have the same nonlinear terms. As α = 0, 1, the dynamical systems have no chaos. However, one dynamical system may create chaos as α varies from zero to one. This may provide an example to show that the homotopy deformation of dynamical systems cannot preserve the long-time dynamics even though the dynamical systems have the same nonlinear terms.

APA, Harvard, Vancouver, ISO, and other styles

34

Effah-Poku, S., W. Obeng-Denteh, and I. K. Dontwi. "A Study of Chaos in Dynamical Systems." Journal of Mathematics 2018 (2018): 1–5. http://dx.doi.org/10.1155/2018/1808953.

Full text

Abstract:

The behavior of systems such as periodicity, fixed points, and most importantly chaos has evolved as an integral part of mathematics, especially in dynamical system. This research presents a study on chaos as a property of nonlinear science. Systems with at least two of the following properties are considered to be chaotic in a certain sense: bifurcation and period doubling, period three, transitivity and dense orbit, sensitive dependence to initial conditions, and expansivity. These are termed as the routes to chaos.

APA, Harvard, Vancouver, ISO, and other styles

35

Kumar, Deepak, and Mamta Rani. "Alternated Superior Chaotic Biogeography-Based Algorithm for Optimization Problems." International Journal of Applied Metaheuristic Computing 13, no. 1 (January 2022): 1–39. http://dx.doi.org/10.4018/ijamc.292520.

Full text

Abstract:

In this study, we consider a switching strategy that yields a stable desirable dynamic behaviour when it is applied alternatively between two undesirable dynamical systems. From the last few years, dynamical systems employed “chaos1 + chaos2 = order” and “order1 + order2 = chaos” (vice-versa) to control and anti control of chaotic situations. To find parameter values for these kind of alternating situations, comparison is being made between bifurcation diagrams of a map and its alternate version, which, on their own, means independent of one another, yield chaotic orbits. However, the parameter values yield a stable periodic orbit, when alternating strategy is employed upon them. It is interesting to note that we look for stabilization of chaotic trajectories in nonlinear dynamics, with the assumption that such chaotic behaviour is not desirable for a particular situation. The method described in this paper is based on the Parrondo’s paradox, where two losing games can be alternated, yielding a winning game, in a superior orbit.

APA, Harvard, Vancouver, ISO, and other styles

36

GASPARD, PIERRE. "DYNAMICAL CHAOS AND NONEQUILIBRIUM STATISTICAL MECHANICS." International Journal of Modern Physics B 15, no. 03 (January 30, 2001): 209–35. http://dx.doi.org/10.1142/s021797920100437x.

Full text

Abstract:

Chaos in the motion of atoms and molecules composing fluids is a new topic in nonequilibrium physics. Relationships have been established between the characteristic quantities of chaos and the transport coefficients thanks to the concept of fractal repeller and the escape-rate formalism. Moreover, the hydrodynamic modes of relaxation to the thermodynamic equilibrium as well as the nonequilibrium stationary states have turned out to be described by fractal-like singular distributions. This singular character explains the second law of thermodynamics as an emergent property of large chaotic systems. These and other results show the growing importance of ephemeral phenomena in modern physics.

APA, Harvard, Vancouver, ISO, and other styles

37

Inoue, Kei. "An Improved Calculation Formula of the Extended Entropic Chaos Degree and Its Application to Two-Dimensional Chaotic Maps." Entropy 23, no. 11 (November 14, 2021): 1511. http://dx.doi.org/10.3390/e23111511.

Full text

Abstract:

The Lyapunov exponent is primarily used to quantify the chaos of a dynamical system. However, it is difficult to compute the Lyapunov exponent of dynamical systems from a time series. The entropic chaos degree is a criterion for quantifying chaos in dynamical systems through information dynamics, which is directly computable for any time series. However, it requires higher values than the Lyapunov exponent for any chaotic map. Therefore, the improved entropic chaos degree for a one-dimensional chaotic map under typical chaotic conditions was introduced to reduce the difference between the Lyapunov exponent and the entropic chaos degree. Moreover, the improved entropic chaos degree was extended for a multidimensional chaotic map. Recently, the author has shown that the extended entropic chaos degree takes the same value as the total sum of the Lyapunov exponents under typical chaotic conditions. However, the author has assumed a value of infinity for some numbers, especially the number of mapping points. Nevertheless, in actual numerical computations, these numbers are treated as finite. This study proposes an improved calculation formula of the extended entropic chaos degree to obtain appropriate numerical computation results for two-dimensional chaotic maps.

APA, Harvard, Vancouver, ISO, and other styles

38

Casati, Giulio, and Tomaz Prosen. "Quantum chaos, dynamical stability and decoherence." Brazilian Journal of Physics 35, no. 2a (June 2005): 233–41. http://dx.doi.org/10.1590/s0103-97332005000200006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Chiueh, Tzihong. "Dynamical quantum chaos as fluid turbulence." Physical Review E 57, no. 4 (April 1, 1998): 4150–54. http://dx.doi.org/10.1103/physreve.57.4150.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

TAKIMOTO, Takashi, Suga MIYAURA, Shojirou YAHATA, and Shigeru KUCHII. "Controlling Chaos of Nonlinear Dynamical Systems." Proceedings of Conference of Kyushu Branch 2002.55 (2002): 273–74. http://dx.doi.org/10.1299/jsmekyushu.2002.55.273.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Kováč, Jozef, and Katarína Janková. "Distributional chaos in random dynamical systems." Journal of Difference Equations and Applications 25, no. 4 (February 27, 2019): 455–80. http://dx.doi.org/10.1080/10236198.2019.1581182.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

KHAN, AYUB, and PREMPAL SINGH. "NONLINEAR DYNAMICAL SYSTEM AND CHAOS SYNCHRONIZATION." International Journal of Bifurcation and Chaos 18, no. 05 (May 2008): 1531–37. http://dx.doi.org/10.1142/s0218127408021142.

Full text

Abstract:

Chaos synchronization of nonlinear dynamical systems has been studied through theoretical and numerical techniques. For the synchronization of two identical nonlinear chaotic dynamical systems a theorem has been constructed based on the Lyapunov function, which requires a minimal knowledge of system's structure to synchronize with an identical response system. Numerical illustrations have been provided to verify the theorem.

APA, Harvard, Vancouver, ISO, and other styles

43

Agiza, H. N. "Chaos synchronization of Lü dynamical system." Nonlinear Analysis: Theory, Methods & Applications 58, no. 1-2 (July 2004): 11–20. http://dx.doi.org/10.1016/j.na.2004.04.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Cleary, Paul. "Orbits and chaos in dynamical systems." Bulletin of the Australian Mathematical Society 37, no. 3 (June 1988): 477–78. http://dx.doi.org/10.1017/s000497270002712x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Yugai, K. N. "Dynamical chaos in a biharmonic field." Russian Physics Journal 35, no. 7 (July 1992): 667–71. http://dx.doi.org/10.1007/bf00559240.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Caranicolas, N., and Ch Vozikis. "Chaos in a quartic dynamical model." Celestial Mechanics 40, no. 1 (March 1987): 35–49. http://dx.doi.org/10.1007/bf01232323.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Contopoulos, George. "Order and Chaos in Dynamical Systems." Milan Journal of Mathematics 77, no. 1 (October 28, 2009): 101–26. http://dx.doi.org/10.1007/s00032-009-0102-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Danca, Marius-F. "Controlling chaos in discontinuous dynamical systems." Chaos, Solitons & Fractals 22, no. 3 (November 2004): 605–12. http://dx.doi.org/10.1016/j.chaos.2004.02.032.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Gao, J., and Z. Zheng. "Direct Dynamical Test for Deterministic Chaos." Europhysics Letters (EPL) 25, no. 7 (March 1, 1994): 485–90. http://dx.doi.org/10.1209/0295-5075/25/7/002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

LAI, C. H., and J. WANG. "DYNAMICAL NOISE FILTERING IN CHAOS SYNCHRONIZATION." International Journal of Modern Physics B 21, no. 23n24 (September 30, 2007): 3933–40. http://dx.doi.org/10.1142/s0217979207044986.

Full text

Abstract:

In this talk, we argue that in a chaotic synchronization system whose driving signal is exposed to channel noise, the estimation of the drive system state can be greatly improved by applying the dynamical noise filtering to the response system states. We show that if the noise is bounded, the estimation errors can be made arbitrarily small. This property can be exploited in the design of an alternative scheme for digital communications. Further details can be found in Ref. [1].

APA, Harvard, Vancouver, ISO, and other styles

Journal articles on the topic 'Dynamical chaos'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles