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Nitecki Z. (ed), Robinson C. (ed) — Global Theory of Dynamical Systems |
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Предметный указатель |
Animal behavior 34
Anosov area-preserving 30
Anosov diffeomorphism 9 12
Anosov flow 4 11
Attractor, Lorenz 25
Attractor, strange 20
Axiom A 4 10 12 23
Basic sets 10 12
Bifurcation 14 16 20 21
Bifurcation, Hopf 34
Boundary condition, compatible 26
Chain-recurrent set 5 10 11
Characteristic exponents see “Liapunov”
Chemical kinetics 34
Completely unstable flow 24
Conjecture entropy 12
Conjecture, Coleman's 22 32 33
Conjecture, Seifert 15
Constraining force 31
Cross-section 1 13
Ergodicity 3 12 18
Ergodicity, unique 18
Evolution 34
Expanding map 7
Expansive 7
Explosion, 24
Extension 18
Extremal, broken 26
Filtration 1 5 13 15
Foliation 32
Foliation cycle 1 13
Game theory 34
Geodesic field 1 13
Geodesic flow 4
Gradient flow 29 31
Heteroclinic orbit 6 21 30
Hyperbolic structure 4 9 19;
Index, Lefschetz 10
Index, Morse 5 26
Interval maps 2 14 16
Invariant curve 30
Invariant mainfold 25 27
Invariant measure 4 16 23
Invariant set 5
Isolating block 6 22 32 33
| Isolating function 5
Isolating neighborhood 5 15
Liapunov exponent 3 19 27
Limit, set 21
Limit, solution 31
Linked twist map 3 9
Mechanical systems 3 9 13 20 25 30 31
Minimal center of attraction 5
Minimal extension 18
Minimal set 15 18
Morse index see “Index”
Morse inequalities 5 10
Morse — Smale systems 1 13
Normal form 30
Numerical analysis 8 30
Plug 24
Poincare map 22 33
Point rest, degenerate 22 28 29 32 33
Point rest, non degenerate 6 13 21
Point rest, parabolic 30
Point rest, robust 34
Point, conjugate 26
Point, focal 26
Point, periodic 2 8 10 14 15 20
Population dynamics 34
Resonance 31
Separatrix 15 24
Sharkovsky theorem 2
Signature 26
Singular perturbation 5
Singularities, blowing-up 28 29
Skew-product 18 23
Smale flow 10
Stability, modulus of 21
Stability, region of 30
Stability, structural 34
Stable manifolds 25 27
Strategy, evolutionarily stable 34
Symbolic dynamics 2 10
Topological conjugacy 7 9 10 11 15 21 22 23 28 29 32 33
Topological entropy 2 12 14 17
Topological hyperbolicity 22 32 33
Topological transitivity 3 9 11
Toral antomorphism 9 12
van der Pol equation 20
Zeta function 10 12
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