R. L. Devaney. Introduction to Chaotic Dynamical Systems. Addison Wesley, Reading, MA, 1987. Home/Search Document Not in Database Summary Related Articles Check |
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Modelling Conditional Probability Densities with Neural Networks - Husmeier (1997) (2 citations) (Correct)
....the logistic map x t 1 = ffx t (1 Gamma x t ) ff 2 [0; 4] x t 2 [0; 1] 4. 1) This is a classical, well studied example of a chaotic dynamical system where, depending on the value of the parameter ff, the system converges to a stable fixed point, a limit cycle, or a chaotic (fractal) attractor [17], 36] In the last decade, in a time of great interest in chaos theory and the prediction of deterministic chaotic time series, many researchers in the neural network community applied their models to a synthetic time series generated from (4.1) so this map has since become a widely applied ....
....= F (ff) 10.11) Now recall that in higher dimensions ff can only be obtained in an iterative process, ff n 1 = F (ff n ) 10.12) in which the subscript n indicates the iteration number. Equation (10.12) defines an iterative discrete map. From the theory of dynamical systems (see, for example, [17], 36] it is known that a fixed point ff of such a map is stable only if the modulus of the derivative of F satisfies the condition jF (ff)j 1 (10.13) Taking the derivative of the function in (10.10) gives (ff) 10.14) Consequently, if (10.15) then jF (ff)j 1 and the ....
Devaney R.L. (1989): An Introduction to Chaotic Dynamical Systems. AddisonWesley
Dynamics on the Space of Harmonic Functions and the Foliated.. - Feres, Zeghib (2002) (Correct)
.... bundles over compact Riemann surfaces, naturally leads to study the dynamics of uniform lattices in G on Har(D) Among other properties, it will be seen that this action is topologically transitive, and that the Z action generated by any hyperbolic element in the lattice is chaotic in the sense of [7]. The plan of the paper is as follows. After setting some notation, we describe a number of results, topological and measure theoretic, proving the Liouville property for certain classes of foliations. The topological results are harmonic counterparts to results proven in [8] in the holomorphic ....
....shown that the example is holomorphically simple. Finally, we prove a number of results about the dynamics of actions of subgroups of PSL(2, R) on Har(D) One of the main results is that the Z action of hyperbolic or parabolic elements in PSL(2, R) define chaotic dynamical systems in the sense of [7]. The first author would like to thank the Ecole Normale Superieure de Lyon, UMPA, for its support and hospitality while this works was being written. 2 Notations and general facts We first set some notation. The unit disc D = 1 can be viewed alternatively as a Riemannian manifold with ....
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R. L. Devaney. An Introduction to Chaotic Dynamical Systems, AddisonWesley, 1989.
The Quasi-Stationary Distribution for Small Random.. - Ramanan, Zeitouni (1999) (Correct)
....periodic attractors be hyperbolic (in the sense that jDf (s)j 1 for every point s on a periodic attractor with period p) 4, p. 221] Since we do not require this additional hyperbolicity condition, which in particular allows us to consider points at which period doubling bifurcations occur [3, 4], we refer to our class of maps as generalized Axiom A. Observe that for a map to satisfy De nition 2.2 it must have at least one two sided periodic attractor since the fact that I is a compact interval and f : I I 2 C implies that the whole interval cannot be a hyperbolic set. Generalized ....
R. L. Devaney. An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Redwood City, CA, 2nd ed., 1989.
Analyse Algorithmique de Systèmes Hybrides Polygonaux - Schneider (2002) (Correct)
.... the idea of simulation (abstraction or realization) is more or less understood (and uniform) in the Computer Science community as machines that perform the same computation [39, 111, 112] in dynamical systems, simulation is captured by the notions of topological equivalence and homomorphism [66, 75, 132]. That rises the problem of having a good notion of simulation for systems that combine discrete with continuous dynamics like hybrid systems. Some attempts to overcome this problem are [18] and [49] In any case, simulation is defined ad hoc for some classes of models, for example in [19] a ....
R.L. Devaney. An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Red- wood City, 2nd edition, 1989.
Geometric Phase Locked in the Nucleus - Binder (2002) (Correct)
....will increase the precession semiangle # for a given dynamical phase of the sub loop d (T ) With variable M g , eq. 18) and eq. 19) characterize a complex onedimensional system that can show chaotic dynamics and quasiperiodicity [17] It is a cosine map related to the circle and sine map [18] and as an iterative system it shows asymptotic stable and converging regimes but also bifurcations and unstable regimes for special feedback coupling strengths M g . The geometric part and precession will become more and more dominant 7 with increasing M g , blocking or occupying phase space as ....
R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Redwood City, Addison-Wesley, (1987).
Berry's Phase and Fine Structure - Bernd Binder Date (Correct)
....will increase the precession semiangle # for a given dynamical phase of the sub loop d (T ) With variable M g , eq. 18) and eq. 19) characterize a complex onedimensional system that can show chaotic dynamics and quasiperiodicity [16] It is a cosine map related to the circle and sine map [17] and as an iterative system it shows asymptotic stable and converging regimes but also bifurcations and unstable regimes for special feedback coupling strengths M g . The geometric part and precession will become more and more dominant with increasing M g , blocking or occupying phase space as a ....
R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Redwood City, Addison-Wesley, (1987).
Fast Bayesian Reconstruction of Chaotic Dynamical Systems.. - Meyer, Christensen (Correct)
....05.45.Tp, 02.60.Pn Typeset using REVT E X I. INTRODUCTION In the physical sciences, experimental data often show an irregular, complicated, and ostensibly random time dependence. This led to the use of chaotic dynamical processes in order to explain and model the observed irregularities [1 4]. In this paper we address the problem of reconstructing the nonlinear dynamic equations assumed to be underlying an observed noisy time series. These observations can stem from laboratory experiments in the physical sciences or real world systems. Previous work on nonlinear noise reduction ....
....Eq. 1 and underlying system evolution given by the logistic map x i = 1 ax i 1 with 9 true parameters a = 1:85, x 0 = 0:3, and noise levels l = ranging from 0.05 to 0.5. Assuming a priori independence of the parameters a, x 0 and , we speci ed a prior Uniform distribution for a on [0,4], a Uniform distribution for x 0 on [0,1] and a di use Inverse Gamma distribution for . Combining this prior with the likelihood calculated by the EKF in Eq. 21, we performed 6000 MCMC iterations using the MH algorithm as described in Sec. III. We discarded the rst 1000 observations as a ....
R. L. Devaney, Introduction to Chaotic Dynamical Systems, (Benjamin-Cummings, Menlo Park, CA, 1989).
Berry's Phase and Fine Structure - Binder (2002) (Correct)
....j will increase the precession semiangle j j for a given dynamical phase of the sub loop 4 d (T ) With variable M g , eq. 18) and eq. 19) characterize a complex onedimensional system that can show chaotic dynamics and quasiperiodicity [16] It is a cosine map related to the circle and sine map [17] and as an iterative system it shows asymptotic stable and converging regimes but also bifurcations and unstable regimes for special feedback coupling strengths M g . The geometric part and precession will become more and more dominant with increasing M g , blocking or occupying phase space as a ....
R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Redwood City, Addison-Wesley, (1987).
Analysis of a Simplified Hopping Robot - Daniel Koditschek And (Correct)
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R. L. Devaney. Introduction to Chaotic Dynamical Systems. Addison Wesley, Reading, MA, 1987.
as an Iterated Function System - Pier Luigi Sacco (Correct)
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Devaney, R.L. (1989), An Introduction to Chaotic Dynamical Systems, Second Edition, Addison--Wesley Publ., Redwood City.
On the security of the Yen-Guo's domino - Signal Encryption Algorithm (2006) (Correct)
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Devaney, R. L., 1989. An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Redwood City, California.
Evolving Context-Free Language Predictors - Bodén, Jacobsson, Ziemke (2000) (Correct)
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Devaney, R. L. (1989). An Introduction to Chaotic Dynamical Systems. Addison-Wesley.
On the security of the Yen-Guo's domino signal encryption.. - Li, Li, Lou, Zhang (2005) (Correct)
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Devaney, R. L., 1989. An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Redwood City, California.
Analyse Algorithmique de Systèmes Hybrides Polygonaux - Schneider (2002) (Correct)
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R.L. Devaney. An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Redwood City, 2nd edition, 1989.
On the Dynamics of P Systems - Vincenzo Manca University (Correct)
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R. L. Devaney. Introduction to chaotic dynamical systems. Addison-Wesley, 1989.
Inaccessibility And Undecidability In Computation, Geometry.. - Saito, Kaneko (2001) (Correct)
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R.L. Devaney, An Introduction to Chaotic Dynamical Systems, Addison-Wesley, Redwood City, CA, 1989.
Self-Similar Traffic and Network Dynamics - Erramilli, Roughan, Veitch.. (2002) (Correct)
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R. L. Devaney, An Introduction to Chaotic Dynamical Systems, 2nd ed. Reading, MA: Addison-Wesley, 1989.
On the Application of Kolmogorov Complexity to - The Characterization And (Correct)
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R. Devaney, An Introduction to Chaotic Dynamical Systems. Reading: Addison-Wesley, 1989, 336 p.
On The Predictability Of Coupled Automata: - An Allegory About (Correct)
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R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Benjamin/Cummings, Menlo Park, 1986.
Learning the Dynamics of Embedded Clauses - Bodén, Blair (2001) (Correct)
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R. L. Devaney. An Introduction to Chaotic Dynamical Systems. AddisonWesley, 1989.
On The Predictability Of Coupled Automata: - An Allegory About (Correct)
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R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Benjamin/Cummings, Menlo Park, 1986.
Berry's Phase and Fine Structure - Bernd Binder Date (Correct)
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R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Redwood City, Addison-Wesley, (1987).
Monotonous Stability for Neutral Fixed Points - Bair Haesbroe Ck (Correct)
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R.L. Devaney, An Introduction to Chaotic Dynamical Systems, (Addison-Wesley Publ. Comp, 2d Ed., 1989).
Chapter 19 - Stretch Fold Prune (Correct)
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R.L. Devaney, An Introduction to Chaotic Dynamical Systems (Addison-Wesley, Reading MA, 1987).
Widening the Boundary Between Decidable and Undecidable.. - Asarin, Schneider (2002) (Correct)
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R.L. Devaney. An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Redwood City, 2nd edition, 1989.
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