10 edition of **Iterated maps on the interval as dynamical systems** found in the catalog.

- 301 Want to read
- 14 Currently reading

Published
**1980**
by Birkhäuser in Basel, Boston
.

Written in English

- Differentiable dynamical systems.,
- Mappings (Mathematics)

**Edition Notes**

Statement | Pierre Collet, Jean-Pierre Eckmann. |

Series | Progress in physics ;, 1, Progress in physics (Boston, Mass.) ;, v. 1. |

Contributions | Eckmann, Jean Pierre, joint author. |

Classifications | |
---|---|

LC Classifications | QA614.8 .C64 1980 |

The Physical Object | |

Pagination | vii, 248 p. : |

Number of Pages | 248 |

ID Numbers | |

Open Library | OL4106048M |

ISBN 10 | 3764330260 |

LC Control Number | 80020751 |

Recently, the Theory of Discrete Dynamical Systems (and in particular Iterated Interval Maps) has been applied in the resolution of several problems in natural and social sciences. The importance of obtaining and computing topological invariants for discrete dynamical systems is to distinguish classes of complex behaviors. formula for the topological entropy of the dynamical system associated with an overlapping function. Mathematics Subject Classi cations: 37B40, 37E05, 28A80 1 Introduction Iterated maps on an interval provide the simplest examples of dynamical systems. Pa-rameterized families of geometrically simple continuous dynamical systems on an interval.

Discrete and Continuous Dynamical Systems - Series B , () A model of development of a spontaneous outbreak of an insect with aperiodic dynamics. Entomological Review 95 . Each local maximum corresponds to a peak in the susceptible series of iterates. Considering the pairs, where denotes the local maximum, an unimodal-type iterated map emerges. As shown in Figure 2(c) the data from the series of values of, corresponding to successive points, appear to fall on a logistic curve. Indeed, treating the graph as a representation of a function allows us to reveal.

The correctness of the algorithm is shown and the computational complexity is analyzed. There are two main results. First, the computational complexity measure considered here is related to the Lyapunov exponent of the dynamical system under consideration. Second, the presented algorithm is optimal with regard to that complexity measure. P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems (Birkhauser, Cambridge, ). Google Scholar J. P. Crutchfield and K. Kaneko, Phenomenology of Spatio-Temporal Chaos, Directions in Chaos (World Scientific, Singapore, ).

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Iterated Maps on the Interval as Dynamical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some new perspectives on the study of dynamical systems. Iterated Maps on the Interval as Dynamical Systems (Progress in Physics, Vol 1) by Collet, Pierre, Eckmann, J.-P.

and a great selection of related books, art and collectibles available now at. Iterated Maps on the Interval as Dynamical Systems (Modern Birkhäuser Classics Book 1) - Kindle edition by Pierre Collet, J.-P.

Eckmann. Download it once and read it on your Kindle device, PC, phones or tablets. Iterated Maps on the Interval As Dynamical Systems Chapter August with Reads How we measure 'reads' A 'read' is counted each time someone views a publication summary (such as the.

Iterated Maps on the Interval as Dynamical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some new perspectives on the study.

Iterated maps on the interval as dynamical systems. Basel ; Boston: Birkhäuser, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Pierre Collet; Jean Pierre Eckmann. Collet / Eckmann, Iterated Maps on the Interval as Dynamical Systems, Reprint of the 1st ed., Buch, Bücher schnell und portofrei.

Collet, P., Eckmann, J.-P.: Iterated Maps of the Interval as Dynamical Systems, Progress in Physics 1, Birkhauser, Buy Iterated Maps on the Interval as Dynamical Systems by Pierre Collet, Jean-Pierre Eckmann from Waterstones today.

Click and Collect from your local Waterstones. On Iterated Maps on the Interval. In book: Dynamical Systems, pp We show that all quasilattices can be realised as stable trajectories in nonlinear dynamical systems, extending. An illustration of an open book. Books. An illustration of two cells of a film strip.

Video An illustration of an audio speaker. Iterated maps on the interval as dynamical systems Item Preview remove-circle Iterated maps on the interval as dynamical systems by Collet, Pierre, Publication date Pages: J.

Milnor and W. Thurston, “On Iterated Maps of the Interval,” Dynamical Systems, Vol.pp. doi/BFb Collet, P./Eckmann, J.‐P., Iterated Maps on the Interval as Dynamical Systems, Progress in Physics 1, Basel‐Boston‐Stuttgart, Birkhäuser VerlagVII, Iterated Maps on the Interval as Dynamical Systems This work explains early results of the theory of continuous Maps of an interval to itself to mathematicians and theoretical physicists, and aims to inspire further inquiry into these phenomena of beautiful regularity, which often appear near chaotic systems.

Complex Dynamics, by L. Carleson and T.W. Gamelin (3rd - 4th year level; an introductory book on the dynamics of iterated complex functions (Julia sets, etc), requires some knowledge of complex numbers and complex functions) Iterated Maps on the Interval as Dynamical Systems, by P.

Collet and J-P Eckmann (graduate level). Free 2-day shipping. Buy Modern Birkhauser Classics: Iterated Maps on the Interval as Dynamical Systems (Paperback) at nd: Pierre Collet; J -P Eckmann.

Transverse instability and riddled basins in a system of two coupled logistic maps. Physical Review E, Vol. 57, Issue. 3, p. Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems. Physical Review E, Vol. 62, Issue. 5, p. Iterated Maps on the Interval as Dynamical Systems.

ISBN: OCLC Number: Notes: Bibliogr. Index. Description: VII p. ; 23 cm. Series Title: Progress in physics, 1. In mathematics, the tent map with parameter μ is the real-valued function f μ defined by:= {, −}, the name being due to the tent-like shape of the graph of f the values of the parameter μ within 0 and 2, f μ maps the unit interval [0, 1] into itself, thus defining a discrete-time dynamical system on it (equivalently, a recurrence relation).In particular, iterating a point x 0 in.

On iterated maps of the interval. Dynamical Systems (College Park, MD, –) (Lecture Notes in Mathematics, ). Springer, Berlin,pp. Combinatorics of linear iterated function systems with overlaps. Nonlinearity 20 (). Bei bekommst Du einen Iterated Maps on the Interval as Dynamical Systems Preisvergleich und siehst ob ein Shop gerade eine Iterated Maps on the Interval as Dynamical Systems Aktion hat!

Suchen: Testberichte, mio. Produkte im Preisvergleich von Shops. A one-parameter family of mappings fp is a map p i. fp from a N-mesh parameter interval (po, p.) to the set MN(J) of all mesh continuous, M1-unimodal mappings from (J)N to itself, which is mesh continuous also with respect to the parameter p.Home» MAA Publications» MAA Reviews» Iterated Maps on the Interval as Dynamical Systems.

Iterated Maps on the Interval as Dynamical Systems. Pierre Collet and Jean-Pierre Eckmann Price: ISBN: Category: Monograph. MAA Review; Table of Contents; We do not plan to review this book.

See the table of contents in pdf.