LEADER 00000cam a2200601Ma 4500
001 ocn747539689
003 OCoLC
005 20160527041907.8
006 m o d
007 cr buu|||uu|||
008 090522s2008 si a ob 001 0 eng d
020 9789812833006|q(electronic book)
020 9812833005|q(electronic book)
035 (OCoLC)747539689
040 World Scientific Publishing|beng|epn|cSTF|dN$T|dDEBSZ
|dYDXCP|dOCLCQ|dOCLCF|dOCLCQ
049 RIDW
050 4 QA862.P4
072 7 SCI|x041000|2bisacsh
072 7 SCI|x096000|2bisacsh
082 04 531/.324|222
090 QA862.P4
100 1 Gitterman, M.|0https://id.loc.gov/authorities/names/
n80130596
245 14 The noisy pendulum /|cMoshe Gitterman.
264 1 Singapore ;|aHackensack, N.J. :|bWorld Scientific Pub. Co.,
|c[2008]
264 4 |c©2008
300 1 online resource (xi, 120 pages) :|billustrations
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
340 |gmonochrome|2rdacc
347 text file|2rdaft
504 Includes bibliographical references (pages 113-118) and
index.
505 0 1. Formulation of the problem. 1.1. Mathematical pendulum.
1.2. Isomorphic models. 1.3. Noise -- 2. Overdamped
pendulum. 2.1. Deterministic motion. 2.2. Influence of
noise. 2.3. Periodic driven force -- 3. Underdamped
pendulum. 3.1. Pendulum with constant torque. 3.2.
Pendulum with multiplicative noise. 3.3. Pendulum with
additive noise. 3.4. Periodically driven pendulum. 3.5.
Damped pendulum subject to constant torque, periodic force
and noise. 3.6. Pendulum with oscillating suspension
point. 3.7. Spring pendulum. 3.8. Resonance-type phenomena
-- 4. Deterministic chaos. 4.1. General concepts. 4.2.
Transition to chaos. 4.3. Pendulum subject to two periodic
fields -- 5. Inverted pendulum. 5.1. Oscillations of the
suspension axis. 5.2. The tilted parametric pendulum. 5.3.
Random vibrations of the suspension axis. 5.4. Spring
pendulum. 5.5. Spring pendulum driven by a periodic force
-- 6. Conclusions.
520 This book contains the general description of the
mathematical pendulum subject to constant torque, periodic
and random forces. The latter appear in additive and
multiplicative form with their possible correlation. For
the underdamped pendulum driven by periodic forces, a new
phenomenon - deterministic chaos - comes into play, and
the common action of this chaos and the influence of noise
are taken into account. The inverted position of the
pendulum can be stabilized either by periodic or random
oscillations of the suspension axis or by inserting a
spring into a rigid rod, or by their combination. The
pendulum is one of the simplest nonlinear models, which
has many applications in physics, chemistry, biology,
medicine, communications, economics and sociology. A wide
group of researchers working in these fields, along with
students and teachers, will benefit from this book.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Pendulum.|0https://id.loc.gov/authorities/subjects/
sh85099384
650 0 Noise.|0https://id.loc.gov/authorities/subjects/sh85092179
650 0 Mechanics.|0https://id.loc.gov/authorities/subjects/
sh85082767
650 0 Physics.|0https://id.loc.gov/authorities/subjects/
sh85101653
650 7 Pendulum.|2fast|0https://id.worldcat.org/fast/1056856
650 7 Noise.|2fast|0https://id.worldcat.org/fast/1038354
650 7 Mechanics.|2fast|0https://id.worldcat.org/fast/1013446
650 7 Physics.|2fast|0https://id.worldcat.org/fast/1063025
655 0 Electronic books.
655 4 Electronic books.
710 2 World Scientific (Firm)|0https://id.loc.gov/authorities/
names/no2001005546
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=521230|zOnline eBook. Access restricted to
current Rider University students, faculty, and staff.
856 42 |3Instructions for reading/downloading this eBook|uhttp://
guides.rider.edu/ebooks/ebsco
901 MARCIVE 20231220
948 |d20160616|cEBSCO|tebscoebooksacademic|lridw
994 92|bRID
