Symmetry · 2021 · 22 citations · 32 references
Natural SciencesElectrical EngineeringMathematicsCircuit TheoryDifferential EquationsDynamical SystemsAnalog Integrated CircuitsBifurcation TheoryChaos TheoryDigital Integrated CircuitsNonlinear Circuit AnalysisNonlinear DynamicsBifurcationBifurcation AnalysisChaos In CircuitsFractional Differential EquationsPiecewise Continuous FunctionsPiecewise-smooth Dynamical SystemsPiecewise-smooth Systems
In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontroller-based circuit was implemented in real digital engineering applications by using the fractional-order Chua’s circuit with the piecewise-smooth continuous system.
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Deterministic Nonperiodic Flow
Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text
Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text
An equation for continuous chaos
Otto E. Rössler · Physics Letters A · 1976 · 4K citations
Guanrong Chen, Tetsushi Ueta · International Journal of Bifurcation and Chaos · 1999 · 2.8K citations · Full text