Nonlinear Differential Equations and Dynamical Systems

Voorkant
Springer 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.

 

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Copyright

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
Alles bekijken »

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

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Over de auteur (2006)

Ferdinand Verhulst was born in Amsterdam, The Netherlands, in 1939.

He graduated at the University of Amsterdam in Astrophysics and Mathematics. A period of five years at the Technological University of Delft, started his interest in technological problems, resulting in various cooperations with engineers. His other interests include the methods and applications of asymptotic analysis, nonlinear oscillations and wave theory.

He holds a chair of dynamical systems at the department of mathematics at the University of Utrecht.

Among his other interests are a publishing company, Epsilon Uitgaven, that he founded in 1985, and the relation between dynamical systems and psychoanalysis.

For more information see www.math.uu.nl/people/verhulst

Bibliografische gegevens

TitelNonlinear Differential Equations and Dynamical Systems
AuteurFerdinand Verhulst
Editie2, geïllustreerd, herdruk
UitgeverSpringer Science & Business Media, 2006
ISBN3540609342, 9783540609346
Lengte306 pagina's
  
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