Chaos Lab

Discrete map · 2D · dim 2

Zaslavsky map

Dissipative twist map generalising the standard map. Important in studies of stochastic webs and transport in Hamiltonian systems.

Zaslavsky map: stochastic web of a dissipative twist map.

Equations

x_{n+1} = (x_n + ν (1 + μ y_n) + ε ν μ cos(2π x_n)) mod 1
y_{n+1} = e^{-Γ} (y_n + ε cos(2π x_n))

At a glance

Parametersε, ν, μ, Γ
Chaotic forbroad parameter window
HistoryG. M. Zaslavsky (1978).

See also

Quick quiz

Test yourself on zaslavsky

8 multiple-choice questions. Pick an answer for each, then submit to see explanations.

  1. Q1.The Zaslavsky map generalises which conservative system?

  2. Q2.Setting Γ → 0 in Zaslavsky recovers:

  3. Q3.The stochastic web of the Zaslavsky map is:

  4. Q4.Anomalous transport in the Zaslavsky map means:

  5. Q5.The Zaslavsky map applies to physical models of:

  6. Q6.The parameter μ in the Zaslavsky map controls:

  7. Q7.Zaslavsky's stochastic web is similar to which structure in Hamiltonian chaos?

  8. Q8.Compared to the standard map at K = K_c, the Zaslavsky map's chaotic region is:

0 of 8 answered