Map |
Time domain |
Space domain |
Number of space dimensions |
Number of parameters |
Also known as
|
3-cells CNN system |
continuous |
real |
3 |
|
|
2D Lorenz system
[1] |
discrete |
real |
2 |
1 |
Euler method approximation to (non-chaotic) ODE.
|
2D Rational chaotic map
[2] |
discrete |
rational |
2 |
2 |
|
ACT chaotic attractor
[3] |
continuous |
real |
3 |
|
|
Aizawa chaotic attractor
[4] |
continuous |
real |
3 |
5 |
|
Arneodo chaotic system
[5] |
continuous |
real |
3 |
|
|
Arnold's cat map |
discrete |
real |
2 |
0 |
|
Baker's map |
discrete |
real |
2 |
0 |
|
Basin chaotic map
[6] |
discrete |
real |
2 |
1 |
|
Beta Chaotic Map
[7] |
|
|
|
12 |
|
Bogdanov map |
discrete |
real |
2 |
3 |
|
Brusselator |
continuous |
real |
3 |
|
|
Burke-Shaw chaotic attractor
[8] |
continuous |
real |
3 |
2 |
|
Chen chaotic attractor
[9] |
continuous |
real |
3 |
3 |
Not topologically conjugate to the Lorenz attractor.
|
Chen-Celikovsky system
[10] |
continuous |
real |
3 |
|
"Generalized Lorenz canonical form of chaotic systems"
|
Chen-LU system
[11] |
continuous |
real |
3 |
3 |
Interpolates between Lorenz-like and Chen-like behavior.
|
Chen-Lee system |
continuous |
real |
3 |
|
|
Chossat-Golubitsky symmetry map |
|
|
|
|
|
Chua circuit
[12] |
continuous |
real |
3 |
3 |
|
Circle map |
discrete |
real |
1 |
2 |
|
Complex quadratic map |
discrete |
complex |
1 |
1 |
gives rise to the
Mandelbrot set
|
Complex squaring map |
discrete |
complex |
1 |
0 |
acts on the
Julia set for the squaring map.
|
Complex cubic map |
discrete |
complex |
1 |
2 |
|
Clifford fractal map
[13] |
discrete |
real |
2 |
4 |
|
Degenerate Double Rotor map |
|
|
|
|
|
De Jong fractal map
[14] |
discrete |
real |
2 |
4 |
|
Delayed-Logistic system
[15] |
discrete |
real |
2 |
1 |
|
Discretized circular Van der Pol system
[16] |
discrete |
real |
2 |
1 |
Euler method approximation to 'circular' Van der Pol-like ODE.
|
Discretized Van der Pol system
[17] |
discrete |
real |
2 |
2 |
Euler method approximation to Van der Pol ODE.
|
Double rotor map |
|
|
|
|
|
Duffing map |
discrete |
real |
2 |
2 |
Holmes chaotic map
|
Duffing equation |
continuous |
real |
2 |
5 (3 independent) |
|
Dyadic transformation |
discrete |
real |
1 |
0 |
2x mod 1 map, Bernoulli map, doubling map, sawtooth map
|
Exponential map |
discrete |
complex |
2 |
1 |
|
Feigenbaum strange nonchaotic map
[18] |
discrete |
real |
3 |
|
|
Finance system
[19] |
continuous |
real |
3 |
|
|
Folded-Towel hyperchaotic map
[20] |
continuous |
real |
3 |
|
|
Fractal-Dream system
[21] |
discrete |
real |
2 |
|
|
Gauss map |
discrete |
real |
1 |
|
mouse map, Gaussian map
|
Generalized Baker map |
|
|
|
|
|
Genesio-Tesi chaotic attractor
[22] |
continuous |
real |
3 |
|
|
Gingerbreadman map
[23] |
discrete |
real |
2 |
0 |
|
Grinch dragon fractal |
discrete |
real |
2 |
|
|
Gumowski/Mira map
[24] |
discrete |
real |
2 |
1 |
|
Hadley chaotic circulation |
continuous |
real |
3 |
0 |
|
Half-inverted Rössler attractor
[25] |
|
|
|
|
|
Halvorsen chaotic attractor
[26] |
continuous |
real |
3 |
|
|
Hénon map |
discrete |
real |
2 |
2 |
|
Hénon with 5th order polynomial |
|
|
|
|
|
Hindmarsh-Rose neuronal model |
continuous |
real |
3 |
8 |
|
Hitzl-Zele map |
|
|
|
|
|
Horseshoe map |
discrete |
real |
2 |
1 |
|
Hopa-Jong fractal
[27] |
discrete |
real |
2 |
|
|
Hopalong orbit fractal
[28] |
discrete |
real |
2 |
|
|
Hyper Logistic map
[29] |
discrete |
real |
2 |
|
|
Hyperchaotic Chen system
[30] |
continuous |
real |
3 |
|
|
Hyper Newton-Leipnik system[
citation needed] |
continuous |
real |
4 |
|
|
Hyper-Lorenz chaotic attractor |
continuous |
real |
4 |
|
|
Hyper-Lu chaotic system
[31] |
continuous |
real |
4 |
|
|
Hyper-Rössler chaotic attractor
[32] |
continuous |
real |
4 |
|
|
Hyperchaotic attractor
[33] |
continuous |
real |
4 |
|
|
Ikeda chaotic attractor
[34] |
continuous |
real |
3 |
|
|
Ikeda map |
discrete |
real |
2 |
3 |
Ikeda fractal map
|
Interval exchange map |
discrete |
real |
1 |
variable |
|
Kaplan-Yorke map |
discrete |
real |
2 |
1 |
|
Knot fractal map
[35] |
discrete |
real |
2 |
|
|
Knot-Holder chaotic oscillator
[36] |
continuous |
real |
3 |
|
|
Kuramoto–Sivashinsky equation |
continuous |
real |
|
|
|
Lambić map
[37] |
discrete |
discrete |
1 |
|
|
Li symmetrical toroidal chaos
[38] |
continuous |
real |
3 |
|
|
Linear map on unit square |
|
|
|
|
|
Logistic map |
discrete |
real |
1 |
1 |
|
Lorenz system |
continuous |
real |
3 |
3 |
|
Lorenz system's
Poincaré return map |
discrete |
real |
2 |
3 |
|
Lorenz 96 model |
continuous |
real |
arbitrary |
1 |
|
Lotka-Volterra system |
continuous |
real |
3 |
9 |
|
Lozi map
[39] |
discrete |
real |
2 |
|
|
Moore-Spiegel chaotic oscillator
[40] |
continuous |
real |
3 |
|
|
Scroll-Attractor
[41] |
continuous |
real |
3 |
|
|
Jerk Circuit
[42] |
continuous |
real |
3 |
|
|
Newton-Leipnik system |
continuous |
real |
3 |
|
|
Nordmark truncated map |
|
|
|
|
|
Nosé-Hoover system |
continuous |
real |
3 |
|
|
Novel chaotic system
[43] |
continuous |
real |
3 |
|
|
Pickover fractal map
[44] |
continuous |
real |
3 |
|
|
Pomeau-Manneville maps for intermittent chaos |
discrete |
real |
1 or 2 |
|
Normal-form maps for intermittency (Types I, II and III)
|
Polynom Type-A fractal map
[45] |
continuous |
real |
3 |
3 |
|
Polynom Type-B fractal map
[46] |
continuous |
real |
3 |
6 |
|
Polynom Type-C fractal map
[47] |
continuous |
real |
3 |
18 |
|
Pulsed rotor |
|
|
|
|
|
Quadrup-Two orbit fractal
[48] |
discrete |
real |
2 |
3 |
|
Quasiperiodicity map |
|
|
|
|
|
Mikhail Anatoly chaotic attractor |
continuous |
real |
3 |
2 |
|
Random Rotate map |
|
|
|
|
|
Rayleigh-Benard chaotic oscillator |
continuous |
real |
3 |
3 |
|
Rikitake chaotic attractor
[49] |
continuous |
real |
3 |
3 |
|
Rössler attractor |
continuous |
real |
3 |
3 |
|
Rucklidge system
[50] |
continuous |
real |
3 |
2 |
|
Sakarya chaotic attractor
[51] |
continuous |
real |
3 |
2 |
|
Shaw-Pol chaotic oscillator
[52]
[53] |
continuous |
real |
3 |
3 |
|
Shimizu-Morioka system
[54] |
continuous |
real |
3 |
2 |
|
Shobu-Ose-Mori piecewise-linear map |
discrete |
real |
1 |
|
piecewise-linear approximation for Pomeau-Manneville Type I map
|
Sinai map -
[1]
[2] |
|
|
|
|
|
Sprott B chaotic system
[55]
[56] |
continuous |
real |
3 |
2 |
|
Sprott C chaotic system
[57]
[58] |
continuous |
real |
3 |
3 |
|
Sprott-Linz A chaotic attractor
[59]
[60]
[61] |
continuous |
real |
3 |
0 |
|
Sprott-Linz B chaotic attractor
[62]
[63]
[64] |
continuous |
real |
3 |
0 |
|
Sprott-Linz C chaotic attractor
[65]
[66]
[67] |
continuous |
real |
3 |
0 |
|
Sprott-Linz D chaotic attractor
[68]
[69]
[70] |
continuous |
real |
3 |
1 |
|
Sprott-Linz E chaotic attractor
[71]
[72]
[73] |
continuous |
real |
3 |
1 |
|
Sprott-Linz F chaotic attractor
[74]
[75]
[76] |
continuous |
real |
3 |
1 |
|
Sprott-Linz G chaotic attractor
[77]
[78]
[79] |
continuous |
real |
3 |
1 |
|
Sprott-Linz H chaotic attractor
[80]
[81]
[82] |
continuous |
real |
3 |
1 |
|
Sprott-Linz I chaotic attractor
[83]
[84]
[85] |
continuous |
real |
3 |
1 |
|
Sprott-Linz J chaotic attractor
[86]
[87]
[88] |
continuous |
real |
3 |
1 |
|
Sprott-Linz K chaotic attractor
[89]
[90]
[91] |
continuous |
real |
3 |
1 |
|
Sprott-Linz L chaotic attractor
[92]
[93]
[94] |
continuous |
real |
3 |
2 |
|
Sprott-Linz M chaotic attractor
[95]
[96]
[97] |
continuous |
real |
3 |
1 |
|
Sprott-Linz N chaotic attractor
[98]
[99]
[100] |
continuous |
real |
3 |
1 |
|
Sprott-Linz O chaotic attractor
[101]
[102]
[103] |
continuous |
real |
3 |
1 |
|
Sprott-Linz P chaotic attractor
[104]
[105]
[106] |
continuous |
real |
3 |
1 |
|
Sprott-Linz Q chaotic attractor
[107]
[108]
[109] |
continuous |
real |
3 |
2 |
|
Sprott-Linz R chaotic attractor
[110]
[111]
[112] |
continuous |
real |
3 |
2 |
|
Sprott-Linz S chaotic attractor
[113]
[114]
[115] |
continuous |
real |
3 |
1 |
|
Standard map,
Kicked rotor |
discrete |
real |
2 |
1 |
Chirikov standard map, Chirikov-Taylor map
|
Strizhak-Kawczynski chaotic oscillator
[116]
[117] |
continuous |
real |
3 |
9 |
|
Symmetric Flow attractor
[118] |
continuous |
real |
3 |
1 |
|
Symplectic map |
|
|
|
|
|
Tangent map |
|
|
|
|
|
Tahn map
[119] |
discrete |
real |
1 |
1 |
Ring laser map
[120]
Beta distribution
[121]
[122]
|
Thomas' cyclically symmetric attractor
[123] |
continuous |
real |
3 |
1 |
|
Tent map |
discrete |
real |
1 |
|
|
Tinkerbell map |
discrete |
real |
2 |
4 |
|
Triangle map |
|
|
|
|
|
Ueda chaotic oscillator
[124] |
continuous |
real |
3 |
3 |
|
Van der Pol oscillator |
continuous |
real |
2 |
3 |
|
Willamowski-Rössler model
[125] |
continuous |
real |
3 |
10 |
|
WINDMI chaotic attractor
[126]
[127]
[128] |
continuous |
real |
1 |
2 |
|
Zaslavskii map |
discrete |
real |
2 |
4 |
|
Zaslavskii rotation map |
|
|
|
|
|
Zeraoulia-Sprott map
[129] |
discrete |
real |
2 |
2 |
|
Chialvo map
|
discrete
|
discrete
|
|
3
|