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| Reithmeier E. — Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos |
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Название: Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos
Автор: Reithmeier E.
Язык: 
Рубрика: Математика/
Статус предметного указателя: Готов указатель с номерами страниц
ed2k:
Год издания: 1991
Количество страниц: 171
Добавлена в каталог: 21.07.2008
Операции: Положить на полку |
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| Предметный указатель |
Period of maximal stability 5
Period of minimal time 5
Period, time of 51 33
Periodicity,  17
Periodicity, condition 48
Petzold 12
Pfeiffer 8 110 114
Phase curvess 56 74 119
Phase flow 89
Phase plane 135
Phase space 10
Phase space pictures 59
Phase space portrait 82
Phase space projection 59 82
Pitchfork bifurcation 100 142 148
PIVOT-elements 133
Poincare 3 20 33 89
Poincare mapping 107
Poincare section 119
Polynomial 21 40
Polynomial coefficient 39
Polynomial space, complementary 40
Polynomial vectorspace 39
Polynomial, right shift of the 40
Postition vector 12
Potential 6
Primary HOPF bifurcation 95 148
Principal axes 71
Pseudo inverse matrix 13
QR-decompostion 50
Quantuum mechanics 3
Rabinowitz 6 47
RAIL 14
Railway vehicle 3 5 9 95
Range of energy 55
Rank defect 35
Rank of a matrix 35 51 102
Rattling model 110
Rattling model, multi staged 113
Rattling model, one staged 134
Reaction force 117
Recursion 88 119 128 140
Recursive algorithm 88
Regularity 80
Residue class ring 40
Resonances 29
Resonant case 6 24 28 45
Riemann 6
Rim 75
Rolling friction 68
Rotational axis 67
Rotations, number of 47 54
Secundary HOPF bifurcation 95
SEIFFERT 6
Senator 8
Separatrices 32 66 112
Sequence of points 86
Sequence, partial 86
Series expansion 24
Series of points 86
Seydel 7 8 82 93
SHAE 8
Shear modul 69 97
Sherman 8
Siegel 4 6 20 89
Simeon 68
Singular disturbance 29
Singular point 3 19
Singularity 3 32 80
Singularity, degenerated 32
Singularity, regular 33
Singularity, unfolding of a 42
SLIP 68
Slip vector 69
Slip, longitudinal 69
Slip, transversal 69
Slipping 115
Smooth manifold 66
Spin 69
Splines, cubic 92
Stability 3 54 66
Stability domain 85 140
| Stable, asymptotically 55
Staged gear 110
State space 4 9
State space coordinates 18
State space feedbeck 18 20 29
State space trajectory 60
State space vector 17
Stationary solution 69
Stationary state 69 97
Sticking 115
Stiff system 97
Stiffness 71
Stoer 7 53
Stretched spring 114
Structural invariant 113
Structural stability 44
Structural variant 110
Submanifold 7 58 63 65
Subspace linear 33
Superdiagonal matrix 133
Surface oriented coordinates 13 81
Suspension 71
Switching point 120 133
SYLVESTER, theorem of 35
Symplectic matrix 46 79
Synchronisation 5
System, differentiable 3
System, discontinous 3
System, dissipative 66
System, dynamical 4 36
System, excited 66
System, linearized 20
System, non-linear 20 44
Tangent plane 68
Tangent space 36 90 121
Taylor expansion 17 20 35 38
Tensor of mass of inertia 68
Tensor of moments of inertia 12
Time history 135
Time variant solution 33
Trajectory 9 35 57
Transfer function 126
Transformation, diffeomorph 4
Translation invariance 49
Transversality condition 80
Turbine, blades of a 3
Turning point 60 75
Umbilic, elliptic 42
Umbilic, hyperbolic 42
Undercarriage 9
Unfolded, universally 29 43
Unfolding of a singularity 42
Unique solution 22
Uniqueness of a periodic solution 7
Unit circle 94 141
Unit matrix 35
Universal deformation 43
Unloaded spring 114
Unstable point 28
Unstable solution 27
van der Pol oscillator 7
VAN DER POL oscillator, critical 35
Variation, calculus of 6
Variational problem 6
Vector field, diffeomorph 19
Vector field, differentiable 9
Vector field, non-resonant 31
Vector field, smooth 33
Vector space 70
Velocity, angular 11
Versal deformation 43
Vibrating system 3
Vibration, non-linear 3
Vibration, periodic 3
Weinstein 6 33 45
Wheel set 3 9 14 71
Wheel suspension 10
Wronskian matrix 77
Yaw angle 99
Yoshizawa 7
Zehnder 6
Zero eigenvalues 24 36
Zero set 45 119
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