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Mullin T. Ч The nature of chaos
Mullin T. Ч The nature of chaos

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Ќазвание: The nature of chaos

јвтор: Mullin T.

јннотаци€:

The Nature of Chaos reflects the interdisciplinary character and captures the excitement of this fast-moving area of science. Focusing on the uses and application of the latest ideas from dynamical systems theory, the topics covered range from physics to biology, with individual chapters on applications to chemistry, the weather, quantum mechanics, and engineering.


язык: en

–убрика: ‘изика/Ќелинейна€ динамика, ’аос/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1993

 оличество страниц: 314

ƒобавлена в каталог: 22.09.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
A/D converter      24
Accessible orbit      211
Arnol'd cat maps      299Ч300
Attraction, basin of      202Ч204
Attractor      xiЧxii
Attractor, Lorenz      222Ч223
Attractor, reconstruction of      xiiЧxvi 27Ч34
Attractor, strange      xi 19
Attractor, Vallis      246
Attractor, weather      226
Australian blowflies      186
Autocorrelation function      26Ч27
Baroclinic waves      256
Basin erosion      214
Basin of attraction      xii 202Ч204
Benjamin      82
Berry's semiclassical theory      293Ч299 305
Bifurcation      11Ч13
Bifurcation diagram      12 137
Bifurcation, chaotic saddle      213
Bifurcation, codimension-1      56Ч57
Bifurcation, codimension-2      58 206
Bifurcation, flip      204
Bifurcation, fold      53
Bifurcation, Hopf      55
Bifurcation, local mode      264Ч266
Bifurcation, pitchfork      16 52
Bifurcation, saddle-node      109
Bifurcation, subcritical      14
Bifurcation, supercritical      13
Bifurcation, symmetry breaking      98
Billiards      286Ч287
Birkhoff      98
Bootstrapping      306
Capacity dimension      45Ч50
Capsize of ships      218Ч220
Cardiac rhythms      183
Cat maps      299Ч300
Chaotic saddle, bifurcation      213
Chaotic saddle, catastrophe      211
Chaotic transient      144 210
Chicken pox      171
Codimension      56
Codimension-2 bifurcation      206
Codimension-2 point      58
Congenital rubella syndrome      180
Control parameters      9 54Ч55 75
Correlation dimension      46Ч48 158
Coulomb forces      275Ч276
Coupled difference equations      138Ч139
Crisis      204
Cycle, heteroclinic      6
Cycle, limit      xii 14
Cycle, Milankovitch      250
Cyclonic 'bombs'      258
Damping      6Ч7
Daphnia populations      185
Delay differential equation      144
Delays, method of      27Ч34
Density of states      288
Deterministic chaos      xЧxi 85Ч91
Difference equations, coupled      138Ч139
Difference equations, exponential      105
Difference equations, quadratic      103
DIMENSION      20
Dimension, capacity      45
Dimension, correlation      46Ч48 158
Dimension, fractal      21
Discrete Fourier Transform      26
Doubling, period      16Ч17
Dover cliff phenomenon      116
Dynamical diseases      183Ч185
Dynamical systems theory      95
EEG pa, terns      184
Eigenvalue      194
El Nino      241
Elastica      51
Embedding dimension      156
Energy balance climate model      249
Engineering integrity      216
Environmental stochasticity      187
Equations, delay-differential      144
Equations, difference      99
Equations, Euler strut      51
Equations, logistic difference      103
Equations, Lorecz's      223
Equations, Mackey Ч Glass      145
Equations, Mathieu's      9
Equations, Navier Ч Stokes      69
Equations, ordinary differential      3
Equations, partial differential      70
Equations, Rossler      19
Equatorial waves      238
Equilibrium point      4
Escape scenario      202
Euler strut      51 98
Exponential map      105
Exponents, Lyapunov      42Ч45 122Ч123
Fast Fourier Transform      26
Feigenbaum cascade      204
FGGE      235
Fixed point      xi 5
Fixed point, map      103
Fixed point, stable      6 103
Fixed point, unstable      6 103
Flip bifurcation      204
Folding      110Ч111
Forecasting      155Ч156
Fourier spectrum      xiii 28Ч30
Fourier transform      25Ч26
Fractal, basin boundaries      214Ч16
Fractal, boundary      201 211
Fractal, dimension      21
Fractal, fingers      216
Fractals in control space      220
Frequency locking      88
Frequency-dependent natural selection      132Ч138
Gaussian orthogonal ensemble      285
Gaussian unitary ensemble      285
Global atmospheric research programme (GARP)      235
Golden mean      273
Grassberger Ч Procaccia      158
Gutzwiller trace formula      290Ч291
Hamiltonian systems, Poincare maps      261Ч264
harmonic oscillator      3
Harmonics      xiii 26Ч27
Heteroclinic cycles      6
Hilltop saddle cycle      207
HIV/AIDS      194Ч198
Homoclinic connection      61Ч62
Homoclinic orbit      61 91
Homoclinic tangle      211 269Ч271
Hopf bifurcation      55
Host-parasitoid systems      141
Host-pathogen interactions      178
Hydrodynamic stability      71Ч73
Hydrogen atom      275Ч276
Hyperchaotic      144
Hysteresis      14
Ice ages      249Ч250
Imperfection      53
Incursive fractal      215
Insect populations      188
Instability      10
Intermittency      91
International Whaling Commission - (IWC)      138
Intraseasonal oscillation      234Ч236
Islands of stability      274
Iterated map      101Ч103
Julia      98
KAM curves      274
Kelvin wave      238 248
Landau      73
Langford      88
Laplace      97
Length of day (LOD)      235
Limit cycle      xii 14
Limit point      59
Linearized system      ix
Logistic map      103
Lorenz      98Ч99
Lorenz attractor      222Ч223
Lyapunov exponents, experimental determination      42Ч45
Lyapunov exponents, one-dimensional maps      122Ч124
Lyapunov exponents, two-dimensional maps      144
Lyapunov stability      98
Mackey Ч Glass equation      145
Magnetic fields      275Ч276
Mandelbrot      98
Maps, antisymmetric      125Ч130
Maps, cat      295Ч300
Maps, coupled      138Ч144
Maps, cubic      127
Maps, delayed logistic      141
Maps, exponential      105
Maps, iterated      101Ч103
Maps, logistic      103
Maps, Poincare      33Ч41 102 261Ч264
Maps, quadratic      103
Maps, return      38
Maps, tent      153
Maps, two-dimensional      138
Marine plankton      172
Mathieu's equation      9
May      99
Measles, data      158Ч164
Measles, spatial dynamics      164Ч171
Method of delays      27Ч34
Milankovitch cycles      250
Multiplicities      xvi 15 83Ч84
Navier Ч Stokes' equations      69Ч71
Newton      ix 120
Noise      24Ч25 29
Nonlinear pendulum      3
Nonlinearity      2
Normal mode oscillator      265Ч266
Number variance      284 297
Numerical bifurcation      14Ч15
Numerical weather prediction      227Ч231
Odlyzko      304
Orbit, heteroclinic      6
Orbit, homoclinic      61 91
Orbit, planetary      ix
oscillations      3
Oscillations, clamped      6
Oscillations, intraseasonal      234Ч236
Oscillations, parametrically excited      8
Oscillations, quasi-biennial      236
Oscillations, simple harmonic      3
Oscillations, southern      243
Palaeoclimatology      249
Parametrically excited pendulum      8Ч20
Pendulum, simple      2
Period doubling      16 99
Phase bottleneck      272Ч273
Phase plane      3Ч5
Phase portrait      3Ч5
Phase portrait, reconstruction      26Ч38
Phase space      4Ч8
Pitchfork bifurcation      13
Planetary orbits      ix
Poincare      97
Poincare maps      38Ч40 102
Poincare maps, Hamiltonian systems      261Ч264
Poincare sampling      38 201
Points, equilibrium      4
Points, fixed      xi 5
Points, limit      59
Points, saddle      59
Population dynamics      101 188Ч192
Population genetics      192
Power spectrum      25Ч26
Predator prey systems      173
Predictability      7 28Ч30
Prediction      153Ч154
Preturbulence      144
Primary resonance      204
Quadratic map      103
Quantum chaology      283
quantum mechanics      282Ч283
Quasi-biennial oscillation      236
Repeller      7
Resonance      9 266Ч267
Resonant tongue      10
Return map      38
Return map, stroboscopic      39
Reynolds number      70
Riemann's Zeta-function      392Ч393
Rossby wave      248
Rossler equations      19
Rotating annulus      254
Ruelle      99
Ruelle Ч Takens route to chaos      73Ч74
Saddle focus      62
Saddle point      59
Saddle-node bifurcation      109
Saltzmann      222 249
Semiclassical Berry's theory      293Ч299 305
Semiclassical limit      282Ч283
Semiclassical sum rule      295
Sensitive dependence on initial conditions      19Ч21 120Ч121 224
Separatrix      6 269
Silnikov      60Ч67
simple harmonic motion      3
simple pendulum      2Ч8
Simplex projection      150
Singular value decomposition      34Ч36
Sloping convection      255
Smale      99
Southern oscillation      243
Spectrum, Fourier      xiii 28Ч30
Spectrum, power      25Ч26
Stadium problem      275 292
Strange Attractor      xi 19
Stretching      19
Subcritical bifurcation      14Ч15
Supercritical Pitchfork bifurcation      13
Symmetry-breaking      16 51Ч52 81Ч83 98
Systems, dynamical      96
Systems, Hamiltonian      261
Systems, predator-prey      173
Takens      99
Taylor vortex      74Ч76
Taylor Ч Couette flew      74Ч91
Taylor, G.I.      81
Teleconnections      231Ч234
Tent map      153
Three-body problem      ix 120
Time series      23Ч25 149
Time-delayed logistic equation      139Ч141
Torus      xii 38Ч41
Trajectory matrix      34
Transient      18 144 210
Transition to turbulence      71Ч73
Turbulence      93
Universal constants (Feigenbaum)      114
Universality      113Ч117 284Ч285
Unstable fixed point      6 103
Unstable solution      13
Vallis attractor      246
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