000 | 04607cam a2200733Ma 4500 | ||
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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 |
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019 | _a1086428650 | ||
020 |
_a9789812833006 _q(electronic bk.) |
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020 |
_a9812833005 _q(electronic bk.) |
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020 |
_z9789812832993 _q(hardcover ; _qalk. paper) |
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020 |
_z9812832998 _q(hardcover ; _qalk. paper) |
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029 | 1 |
_aDEBBG _bBV043070075 |
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029 | 1 |
_aDEBBG _bBV044175701 |
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029 | 1 |
_aDEBSZ _b384347622 |
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029 | 1 |
_aDEBSZ _b421284765 |
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035 |
_a(OCoLC)747539689 _z(OCoLC)1086428650 |
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050 | 4 | _aQA862.P4 | |
072 | 7 |
_aSCI _x041000 _2bisacsh |
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072 | 7 |
_aSCI _x096000 _2bisacsh |
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082 | 0 | 4 |
_a531/.324 _222 |
049 | _aMAIN | ||
100 | 1 |
_aGitterman, M. _9176985 |
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245 | 1 | 4 |
_aThe noisy pendulum / _cMoshe Gitterman. |
260 |
_aSingapore ; _aHackensack, N.J. : _bWorld Scientific Pub. Co., _c©2008. |
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300 |
_a1 online resource (xi, 120 pages) : _billustrations |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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650 | 0 |
_aPendulum. _9252324 |
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650 | 0 |
_aNoise. _973770 |
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650 | 0 |
_aMechanics. _969979 |
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650 | 0 |
_aPhysics. _965756 |
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650 | 6 |
_aPendule. _91349466 |
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650 | 6 |
_aBruit. _9901484 |
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650 | 6 |
_aMécanique. _9880402 |
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650 | 6 |
_aPhysique. _9869547 |
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650 | 7 |
_anoise. _2aat _973770 |
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650 | 7 |
_amechanics (physics) _2aat _9880403 |
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650 | 7 |
_aphysics. _2aat _965756 |
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650 | 7 |
_aSCIENCE _xMechanics _xGeneral. _2bisacsh _992096 |
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650 | 7 |
_aSCIENCE _xMechanics _xSolids. _2bisacsh _9872029 |
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650 | 7 |
_aMechanics. _2fast _0(OCoLC)fst01013446 _969979 |
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650 | 7 |
_aNoise. _2fast _0(OCoLC)fst01038354 _973770 |
|
650 | 7 |
_aPendulum. _2fast _0(OCoLC)fst01056856 _9252324 |
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650 | 7 |
_aPhysics. _2fast _0(OCoLC)fst01063025 _965756 |
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655 | 0 | _aElectronic books. | |
655 | 4 | _aElectronic books. | |
710 | 2 |
_aWorld Scientific (Firm) _974845 |
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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 |
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_aEBSCOhost _bEBSC _n521230 |
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_aYBP Library Services _bYANK _n9975225 |
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