On a possible approximation of discontinuous dynamical systems.

DOI10.1016/S0960-0779(01)00002-9zbMath1046.34015OpenAlexW2007945547WikidataQ58797510 ScholiaQ58797510MaRDI QIDQ1401019

Steliana Codreanu, Marius-F. Danca

Publication date: 17 August 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00002-9

zbMATH Keywords

approximationdiscontinuous dynamical systems

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Discontinuous ordinary differential equations (34A36)

Related Items (15)

Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order ⋮ Adaptive estimation for uncertain nonlinear systems with measurement noise: A sliding‐mode observer approach ⋮ Numerical approximation of a class of discontinuous systems of fractional order ⋮ Finding attractors of continuous-time systems by parameter switching ⋮ Bifurcation analysis of a preloaded Jeffcott rotor. ⋮ Numerical approximations of a class of switch dynamical systems ⋮ APPROACH OF A CLASS OF DISCONTINUOUS DYNAMICAL SYSTEMS OF FRACTIONAL ORDER: EXISTENCE OF SOLUTIONS ⋮ CHAOTIFYING DISCONTINUOUS DYNAMICAL SYSTEMS VIA TIME-DELAY FEEDBACK ALGORITHM ⋮ On the uniqueness of solutions to a class of discontinuous dynamical systems ⋮ Cumulative effect of structural nonlinearities: chaotic dynamics of cantilever beam system with impacts ⋮ Controlling chaos in discontinuous dynamical systems ⋮ Chaotic behavior of a class of discontinuous dynamical systems of fractional-order ⋮ Non-degenerate maximum principle for optimal control problems with discontinuous right-hand side ⋮ Chaos suppression via periodic pulses in a class of piece-wise continuous systems ⋮ SYNCHRONIZATION OF SWITCH DYNAMICAL SYSTEMS

Cites Work

• Converging multistep methods for initial value problems involving multivalued maps
• Implicit runge-kutta methods for differential inclusions
• Difference Methods for Differential Inclusions: A Survey
• Generalizations of the Chua equations
• Set-valued analysis
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