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Words: 2k
Articles: 89
Table of contents
2k
89
Conservative planar phase portrait
Dynamical systems
31
Energy balance method
Dynamical systems
41
Relaxation oscillation
Dynamical systems
31
Discrete dynamical system
Dynamical systems
367
11
Iteration of a map
Discrete dynamical system
18
Interval map
Discrete dynamical system
217
6
Periodic point of an interval map
Interval map
30
Interval covering relation
Interval map
146
3
Directed covering graph of an interval map
Interval covering relation
119
2
Periodic orbit from a closed interval-covering walk
Directed covering graph of an interval map
101
1
Counting cycles in an interval covering graph
Periodic orbit from a closed interval-covering walk
49
Connect-the-dots interval map
Interval map
24
Jury stability criterion
Discrete dynamical system
33
Multiplier of a periodic orbit of an iteration
Discrete dynamical system
30
Period-doubling bifurcation
Discrete dynamical system
35
Transcritical bifurcation
Dynamical systems
47
Center manifold
Dynamical systems
165
3
Center manifold of the 2024 Cambridge cubic system
Center manifold
33
Extended centre manifold of the 2023 Cambridge quadratic-product system
Center manifold
44
Bifurcations of the 2022 Cambridge quadratic-cubic system
Center manifold
48
Glendinning chaos
Dynamical systems
189
4
Horseshoe for an interval map
Glendinning chaos
71
1
Horseshoe from two closed covering walks
Horseshoe for an interval map
45
Sharkovsky theorem
Glendinning chaos
104
1
Fibonacci transition-graph cycle count
Sharkovsky theorem
43
Radially symmetric planar dynamical system
Dynamical systems
26
Devaney chaos
Dynamical systems
182
7
Topological transitivity
Devaney chaos
23
Dense periodic points
Devaney chaos
17
Sensitive dependence on initial conditions
Devaney chaos
28
Doubling map
Devaney chaos
85
3
Binary shift representation of the doubling map
Doubling map
32
Periodic points of the doubling map
Doubling map
38
1
Exact power-of-two periods of the doubling map
Periodic points of the doubling map
23
Centre manifold theorem
Dynamical systems
66
2
Extended centre manifold for a parameter
Centre manifold theorem
19
Centre-manifold invariance equation
Centre manifold theorem
20
Bifurcation theory
Dynamical systems
366
13
Eigenvalue-crossing bifurcation test
Bifurcation theory
24
Saddle-node bifurcation
Bifurcation theory
25
Pitchfork bifurcation normal form
Bifurcation theory
82
2
Subcritical pitchfork bifurcation
Pitchfork bifurcation normal form
36
Symmetry-forced pitchfork bifurcation
Pitchfork bifurcation normal form
20
Bifurcation diagram
Bifurcation theory
62
1
Bifurcation diagram of the 2023 Cambridge quadratic-product system
Bifurcation diagram
45
Hopf bifurcation
Bifurcation theory
55
1
Subcritical Hopf bifurcation
Hopf bifurcation
30
Saddle-node bifurcation of periodic orbits
Bifurcation theory
22
Quintic radial Hopf equation
Bifurcation theory
37
Interior equilibrium branch connecting two boundary bifurcations
Bifurcation theory
46
1
Two-stage stability exchange in a symmetric planar system
Interior equilibrium branch connecting two boundary bifurcations
21
Strict Lyapunov function
Dynamical systems
17
Stable manifold
Dynamical systems
21
Autonomous planar system
Dynamical systems
151
5
Equilibrium point of a dynamical system
Autonomous planar system
129
4
Linear stability of a planar equilibrium
Equilibrium point of a dynamical system
113
3
Saddle equilibrium
Linear stability of a planar equilibrium
26
Stable node
Linear stability of a planar equilibrium
26
Stable spiral
Linear stability of a planar equilibrium
26
Bendixson-Dulac criterion
Dynamical systems
40
Omega-limit set
Dynamical systems
31
Periodic orbit
Dynamical systems
18
Poincare-Bendixson theorem
Dynamical systems
12
Floquet multiplier
Dynamical systems
53
1
Divergence test for a planar periodic orbit
Floquet multiplier
32
Fixed point stability for an autonomous differential equation
Dynamical systems
19
Fixed point stability for an iteration
Dynamical systems
13
Resonance
Dynamical systems
14
Unstable equilibrium
Dynamical systems
14
Equilibrium of an autonomous differential equation
Dynamical systems
52
2
Linear stability analysis
Equilibrium of an autonomous differential equation
41
1
Trace-determinant stability criterion
Linear stability analysis
26
Basin of attraction
Dynamical systems
17
Lyapunov function
Dynamical systems
300
11
Lyapunov stability
Lyapunov function
23
First Lyapunov theorem
Lyapunov function
13
Second Lyapunov theorem
Lyapunov function
16
Asymptotic stability
Lyapunov function
19
Ellipsoidal Lyapunov function
Lyapunov function
21
Invariant sublevel set
Lyapunov function
39
1
Tangency at a Lyapunov boundary
Invariant sublevel set
23
LaSalle invariance principle
Lyapunov function
143
3
Damped mechanical energy as a Lyapunov function
LaSalle invariance principle
122
2
Damped rational double-barrier phase portrait
Damped mechanical energy as a Lyapunov function
86
1
Outward escape from the rational potential barrier
Damped rational double-barrier phase portrait
34
Hyperbolic equilibrium
Dynamical systems
28
1
Linearization stability theorem
Hyperbolic equilibrium
14
Positively invariant set
Dynamical systems
42
1
Trapping region
Positively invariant set
27
Ancestors
(3)
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