Index

  1. Analytical bifurcation tree
  2. Analytical solution
  3. Arbratrary periodical forcing
  4. Asymptotically stable equilibrium
  5. Asymptotically unstable equilibrium
  6. Autonomous dynamical systems
  7. Autonomous nonlinear system
  8. Autonomous time-delayed nonlinear system
  9.  
  10. Bifurcation
  11. Bifurcation of periodic flow
  12. Bifurcation of periodic motion
  13. Bifurcation of period-m flow
  14. Bifurcation of period-m motion
  15. Bifurcation point
  16. Bifurcation value
  17.  
  18. Center
  19. Center subspace
  20. Center manifold
  21. Complex eigenvalues
  22. Continuous dynamical system
  23. Circular equilibrium
  24. Critical point
  25. Critical equilibrium
  26.  
  27. Derative
  28. Degenrate equilibrium
  29. Decresasing saddle
  30. Differentiable manifold
  31. Dynamical system
  32.  
  33. Eigenspace
  34. Eigenvalue
  35. Equilibrium
  36. Equilibrium point
  37.  
  38. Flow
  39. Fourier Series Solutions
  40. Free vibration systems
  41. Frequency-amplitude characteristics
  42.  
  43. Generalized coordinite transformation
    1. for periodic flow
    2. for periodic motion
    3. for period-m flow
    4. for period-m motion
  44.  
  45. Homeomorphism
  46. Hopf bifurcation
  47. Hyperbolic equilibrium
  48. Hyperbolic points
  49. Hyperbolic-spiral stable chaos
  50. Hyperbolic-spiral unstable chaos
  51. Hyperbolic stable chaos
  52. Hyperbolic unstable chaos
  53.  
  54. Integral
  55. Incresasing saddle
  56. Invariant circle
  57. Invariant subspace
  58. Cr invariant manifold
  59.  
  60. Jacobian matrix
  61. Jacobian determinant
  62.  
  63. Linearized system
  64. Lipschitz condition
  65. Lipschitz constant
  66. Local stable invariant manifold
  67. Local stable manifold
  68. Local unstable invariant manilfod
  69. Local unstable manifold
  70.  
  71. Manifold
  72.  
  73. Nonautonomous dynamical systems
  74. Nonautonomous nonlinear systems
  75. Nonautonomous Time-delayed nonlinear systems
  76. Nonlinear vibration systems
  77. Nonlinear dynamical system
  78. Norm
  79.  
  80. Operator norm
  81.  
  82. Period-1 motion
  83. Period-doubling Hopf bifurcation
  84. Period-m flows
  85. Period-q Hopf bifurcation
  86. Period-p/q Hopf biufcation
  87. Periodic flow
  88. Pitchfork bifurcation
  89. Period-doubling solutions
  90. Periodically excited vibration system
  91. Periodically excited vibration systems with time-delay
  92. Periodically forced, nonlinear system
  93. Perioidcally forced, time-delayed, nonlinear system
  94. Perioidcally forced, time-delayed, nonlinear system vibration
  95.  
  96. Quadratic nonlinear oscillator
  97. Quasi-periodic flows
  98. Quasi-period-pk Hopf bifurcation
  99.  
  100. Saddle
  101. Saddle unstable chaos
  102. Saddle-node bifurcation
  103. Sink
  104. Source
  105. Spiral saddle unstable chaos
  106. Spiral stable chaos
  107. Spiral unstable chaos
  108. Spatial derivative
  109. Spirally stable equilibrium
  110. Spirally unstable equilibrium
  111. Stability switching
  112. Stability of periodic flow
  113. Stability of periodic motion
  114. Stability of period-m flow
  115. Stability of period-m motion
  116. Stable equilibrium
  117. Stable node
  118. Stable subsapce
  119. Switching
  120. Switching points
  121. Switching values
  122.  
  123. Time-delayed nonlinear oscillator
  124. Time-delayed, quadratic nonlinear oscillator
  125. Time-delayed nonlinear system
  126. Time-delayed, nonlinear vibration systems
  127. Time-delayed, free vibration systems
  128. Trajectory
  129. Transcritical bifurcation
  130.  
  131. Unstable equilibrium
  132. Unstable Hopf bifurcation
  133. Unstable node
  134. Unstable saddle-node bifurcation
  135. Unstable subspace
  136.  
  137. Vector field
  138. Vector function
  139. Velocity vector
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