INVARIANT MEASURES OF STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS USING FOURIER APPROXIMATIONS

DOI10.1142/S0218127411028283zbMath1208.37027MaRDI QIDQ3086310

Md. Shafiqul Islam, Góra, Paweł

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Frobenius-Perron operatorprobability density functionFourier approximationabsolutely continuous invariant measuresstochastic perturbations of dynamical systems

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation ⋮ Existence of noise induced order, a computer aided proof

Cites Work

• Basis Markov Partitions and Transition Matrices for Stochastic Systems
• Probability density functions of some skew tent maps
• Invariant measures for Chebyshev maps

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