Discretization of Homoclinic Orbits, Rapid Forcing and "Invisible" Chaos (Memoirs of the American Mathematical Society) - Softcover
Synopsis
One-step discretizations of order $p$ and step size $e$ of autonomous ordinary differential equations can be viewed as time-$e$ maps of a certain first order ordinary differential equation that is a rapidly forced nonautonomous system.
Fiedler and Scheurle study the behavior of a homoclinic orbit for $e = 0$, under discretization. Under generic assumptions they show that this orbit becomes transverse for positive $e$. Likewise, the region where complicated, "chaotic" dynamics prevail is under certain conditions estimated to be exponentially small.
These results are illustrated by high precision numerical experiments. The experiments show that, due to exponential smallness, homoclinic transversality is already practically invisible under normal circumstances, for only moderately small discretization steps.
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Discretization of Homoclinic Orbits Rapid Forcing and Invisible Chaos
Published by
American Mathematical Society, 1996
ISBN 10: 0821804685
ISBN 13: 9780821804681
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Softcover
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Condition: Good. 0th Edition. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # GRP90094262
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Discretization of homoclinic orbits, rapid forcing and "invisible" chaos. Memoirs of the American Mathematical Society; 570.
Published by
Providence, American Math. Soc, 1996
ISBN 10: 0821804685
ISBN 13: 9780821804681
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
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Softcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00906 9780821804681 Sprache: Englisch Gewicht in Gramm: 150. Seller Inventory # 2484746
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Discretization of Homoclinic Orbits, Rapid Forcing and Invisible Chaos (Memoirs of the American Mathematical Society)
Published by
Amer Mathematical Society, 1996
ISBN 10: 0821804685
ISBN 13: 9780821804681
Used
Paperback
Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0821804685I3N10