Nonlinear Differential Equations and Dynamical SystemsSpringer Science & Business Media, 20 feb 2006 - 306 pagina's For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises. |
Inhoudsopgave
I | 1 |
II | 3 |
III | 4 |
IV | 7 |
VI | 10 |
VII | 14 |
VIII | 16 |
IX | 21 |
LV | 136 |
LVII | 138 |
LVIII | 140 |
LIX | 144 |
LX | 147 |
LXI | 150 |
LXII | 154 |
LXIII | 157 |
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XIX | 43 |
XX | 47 |
XXI | 53 |
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XXVI | 66 |
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XXVIII | 69 |
XXX | 71 |
XXXI | 75 |
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XXXIII | 83 |
XXXV | 88 |
XXXVI | 91 |
XXXVII | 93 |
XXXVIII | 96 |
XXXIX | 98 |
XL | 103 |
XLI | 107 |
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XLV | 113 |
XLVI | 116 |
XLVII | 119 |
XLVIII | 120 |
XLIX | 122 |
LI | 127 |
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LIII | 131 |
LIV | 135 |
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LXV | 166 |
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LXX | 172 |
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LXXX | 199 |
LXXXI | 203 |
LXXXII | 207 |
LXXXIII | 208 |
LXXXIV | 213 |
LXXXV | 216 |
LXXXVI | 218 |
LXXXVII | 224 |
LXXXIX | 226 |
XC | 230 |
XCI | 233 |
XCII | 236 |
XCIII | 238 |
XCIV | 242 |
XCV | 246 |
XCVI | 248 |
XCVII | 250 |
XCVIII | 252 |
XCIX | 253 |
C | 255 |
CI | 260 |
CII | 267 |
301 | |
Overige edities - Alles bekijken
Nonlinear Differential Equations and Dynamical Systems Ferdinand Verhulst Gedeeltelijke weergave - 2012 |
Nonlinear Differential Equations and Dynamical Systems Ferdinand Verhulst Gedeeltelijke weergave - 2012 |
Nonlinear Differential Equations and Dynamical Systems Ferdinand Verhulst Gedeeltelijke weergave - 2006 |
Veelvoorkomende woorden en zinsdelen
apply approximation asymptotically stable autonomous equation averaging behaviour bifurcation bounded called centre manifold chapter characterise characteristic exponents closed orbit coefficients Consider equation Consider the equation corresponding cos(t cos² critical point Definition degrees of freedom determined dimension domain dynamical system eigenvalues equilibrium solution example exists expansion Figure fixed point flow follows Hamiltonian systems homoclinic orbit infinite number initial value problem instance integral lemma linearisation Lipschitz-continuous Lyapunov exponents matrix n-matrix negative neighbourhood nonlinear normal form normal mode normalisation p₁ parameter periodic points periodic solution perturbation phase-flow phase-plane phase-space Poincaré Poincaré-Bendixson theorem Poincaré-mapping positive constant produces proof quadratic resonance manifold result righthand side saddle point sin(t sin² sint solution of equation solution x(t T-periodic theorem time-scale 1/ɛ transformation transversal trivial solution unstable manifold variable vector function Volterra-Lotka equations x(to zero ε² მყ