000 04607cam a2200733Ma 4500
001 ocn747539689
003 OCoLC
005 20220713073443.0
006 m o d
007 cr buu|||uu|||
008 090522s2008 si a ob 001 0 eng d
040 _aWorld Scientific Publishing
_beng
_epn
_cSTF
_dN$T
_dDEBSZ
_dYDXCP
_dOCLCQ
_dOCLCF
_dOCLCQ
_dAGLDB
_dZCU
_dMERUC
_dU3W
_dOCLCQ
_dVTS
_dICG
_dINT
_dOCLCQ
_dJBG
_dOCLCQ
_dSTF
_dDKC
_dAU@
_dOCLCQ
_dM8D
_dLEAUB
_dOCLCO
019 _a1086428650
020 _a9789812833006
_q(electronic bk.)
020 _a9812833005
_q(electronic bk.)
020 _z9789812832993
_q(hardcover ;
_qalk. paper)
020 _z9812832998
_q(hardcover ;
_qalk. paper)
029 1 _aDEBBG
_bBV043070075
029 1 _aDEBBG
_bBV044175701
029 1 _aDEBSZ
_b384347622
029 1 _aDEBSZ
_b421284765
035 _a(OCoLC)747539689
_z(OCoLC)1086428650
050 4 _aQA862.P4
072 7 _aSCI
_x041000
_2bisacsh
072 7 _aSCI
_x096000
_2bisacsh
082 0 4 _a531/.324
_222
049 _aMAIN
100 1 _aGitterman, M.
_9176985
245 1 4 _aThe noisy pendulum /
_cMoshe Gitterman.
260 _aSingapore ;
_aHackensack, N.J. :
_bWorld Scientific Pub. Co.,
_c©2008.
300 _a1 online resource (xi, 120 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
504 _aIncludes bibliographical references (pages 113-118) and index.
505 0 _a1. 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 _aThis 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 _aeBooks on EBSCOhost
_bEBSCO eBook Subscription Academic Collection - Worldwide
650 0 _aPendulum.
_9252324
650 0 _aNoise.
_973770
650 0 _aMechanics.
_969979
650 0 _aPhysics.
_965756
650 6 _aPendule.
_91349466
650 6 _aBruit.
_9901484
650 6 _aMécanique.
_9880402
650 6 _aPhysique.
_9869547
650 7 _anoise.
_2aat
_973770
650 7 _amechanics (physics)
_2aat
_9880403
650 7 _aphysics.
_2aat
_965756
650 7 _aSCIENCE
_xMechanics
_xGeneral.
_2bisacsh
_992096
650 7 _aSCIENCE
_xMechanics
_xSolids.
_2bisacsh
_9872029
650 7 _aMechanics.
_2fast
_0(OCoLC)fst01013446
_969979
650 7 _aNoise.
_2fast
_0(OCoLC)fst01038354
_973770
650 7 _aPendulum.
_2fast
_0(OCoLC)fst01056856
_9252324
650 7 _aPhysics.
_2fast
_0(OCoLC)fst01063025
_965756
655 0 _aElectronic books.
655 4 _aElectronic books.
710 2 _aWorld Scientific (Firm)
_974845
776 0 8 _iPrint version:
_aGitterman, M.
_tNoisy pendulum.
_dSingapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2008
_w(DLC) 2008032349
856 4 0 _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521230
938 _aEBSCOhost
_bEBSC
_n521230
938 _aYBP Library Services
_bYANK
_n9975225
994 _a92
_bINOPJ
999 _c2945036
_d2945036