Dynamical Systems in the PlaneThe present book is the result of an attempt to develop into a coherent theory, and place into appropriate context, several results on dynamical systems which have appeared earlier in separate papers. |
Contents
Preface | 1 |
Differential Equations | 15 |
Abstract Dynamical Systems | 43 |
Copyright | |
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Common terms and phrases
2-manifold apply assertion Assume given assumption Bourbaki C₁ closed curve compact completes the proof concludes the proof condition connected continuous dynamical systems continuous ld system continuous map Corollary cycle D₁ defined definition denoted dichotomic carrier differential equation differential ld system disjoint equivalence classes equivalence relation example exists feebly critical points follows functor G₁ G₂ global Hájek hence homeomorphism implies inherent topology intersect isomorphic Lemma limit set lsd restriction map f metrisable morphism non-critical non-cyclic non-void obtained Obviously open set openness property P₁ Proposition prove quasi-compact quotient topology region of attraction relativization s-points section of t-extent semi-dynamical semi-flow semi-generated sequence solution strongly stationary t-convex t-open T₁ T₂ space termed topological space trajectories transversal unicity V₁ x₁ xTR+ θη θο τ θ τθ