Lyapunov exponents of a class of piecewise continuous systems of fractional order

DOI10.1007/s11071-015-1984-6zbMath1347.34088arXiv1408.5676OpenAlexW2001185507WikidataQ58797336 ScholiaQ58797336MaRDI QIDQ327832

Marius-F. Danca

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5676

zbMATH Keywords

Lyapunov exponentchaotic systemfractional-order systempiecewise continuous functionpiecewise continuous system of fractional order

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

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Uses Software

• Matlab
• Sprott's Software
• FDE12
• Lyapunov Exponents for ODE

Cites Work

• A semi-analytical method for the computation of the Lyapunov exponents of fractional-order systems
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• Chaos in fractional-order autonomous nonlinear systems.
• A Filippov's theorem, some existence results and the compactness of solution sets of impulsive fractional order differential inclusions
• A chaotic limit cycle paradox
• Multivalued fractional differential equations
• A predictor-corrector approach for the numerical solution of fractional differential equations
• On some generalizations of the implicit Euler method for discontinuous fractional differential equations
• Some new existence results for fractional differential inclusions with boundary conditions
• On fractional lyapunov exponent for solutions of linear fractional differential equations
• Difference methods with selection strategies for differential inclusions
• Ergodic theory of chaos and strange attractors
• ASYMPTOTIC ANALYSIS OF A NEW PIECEWISE-LINEAR CHAOTIC SYSTEM
• APPROACH OF A CLASS OF DISCONTINUOUS DYNAMICAL SYSTEMS OF FRACTIONAL ORDER: EXISTENCE OF SOLUTIONS
• On the bound of the Lyapunov exponents for the fractional differential systems
• Discontinuous dynamical systems
• Generalized Form of Parrondo's Paradoxical Game with Applications to Chaos Control
• Set-valued analysis
• Analysis of fractional differential equations
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