A NONLINEAR DIFFERENTIAL EQUATION OF FRACTIONAL ORDER WITH CHAOTIC PROPERTIES

DOI10.1142/S0218127404009818zbMath1062.34002OpenAlexW2061644318WikidataQ115245963 ScholiaQ115245963MaRDI QIDQ4655629

Małgorzata Seredyńska, Andrzej Hanyga

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404009818

zbMATH Keywords

chaosbifurcationsdynamical systemattractorFractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Bifurcation theory for ordinary differential equations (34C23) Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (2)

Analysis of a fractional order Van der Pol-like oscillator via describing function method ⋮ Describing function based methods for predicting chaos in a class of fractional order differential equations

Cites Work

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• Measuring the strangeness of strange attractors
• The effects of continuously varying the fractional differential order of chaotic nonlinear systems
• Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
• Approximation of Lévy-Feller diffusion by random walk
• Hamiltonian structure of Hamiltonian chaos
• Nonlinear Hamiltonian equations with fractional damping
• On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
• Independent coordinates for strange attractors from mutual information
• Operationl method for solving generalized abel integral equation of second kind
• Ergodic theory of chaos and strange attractors
• What is the Laplace Transform?

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