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Physica D: Nonlinear Phenomena, ISSN 0167-2789, 09/2012, Volume 241, Issue 18, pp. 1482 - 1486
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2015, Volume 25, Issue 6, pp. 1550090 - 1-1550090-11
Chua's circuit, an archetypal example of nonsmooth dynamical systems, exhibits mostly discontinuous bifurcations. More complex dynamical phenomena of Chua's... 
bifurcation | Chua's circuit | equilibrium | discontinuity | stability | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PIECEWISE-LINEAR SYSTEMS | 2 ZONES | MULTIDISCIPLINARY SCIENCES | SMOOTH | Manifolds | Circuits | Switches | Jacobi matrix method | Bifurcations | Boundaries | Dynamical systems | Switching
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 3/2016, Volume 83, Issue 4, pp. 2079 - 2083
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 10/2006, Volume 16, Issue 10, pp. 2815 - 2841
Journal Article
International Journal of Control, Automation and Systems, ISSN 1598-6446, 2014, Volume 12, Issue 3, pp. 507 - 517
Chua's circuit is a typical system with the piecewise-smooth vector field via the absolute value. A new piecewise-linear feedback control scheme with the... 
equilibrium manifold | equilibrium point | set stability | Chua's circuit | Chaos control | GENERIC HOPF-BIFURCATION | STABILIZATION | SMOOTH | PARAMETERS | LINES | CHAOS | SYNCHRONIZATION | EQUILIBRIA | UNCERTAIN | SYSTEMS | AUTOMATION & CONTROL SYSTEMS | Controllers | Stabilization | Control systems | Stability | Circuits | Asymptotic properties | Fields (mathematics) | Boundaries | Invariants
Journal Article
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, ISSN 1492-8760, 2013, Volume 20, Issue 1, pp. 117 - 133
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2007, Volume 17, Issue 1, pp. 209 - 226
This paper focuses on the numerical study of chaotic dynamics via the Adomian decomposition method. The approach, which provides series solutions of the system... 
Smooth nonlinearity | Multiscroll attractors | Chua's oscillator | Adomian decomposition | SYSTEM | smooth nonlinearity | DESIGN | MULTIDISCIPLINARY SCIENCES | ALGORITHM | IMPLEMENTATION | multiscroll attractors | ADOMIAN POLYNOMIALS | CIRCUITS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SCROLL ATTRACTORS | CUBIC NONLINEARITY | GENERATION | CHAOTIC BEATS
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2005, Volume 15, Issue 1, pp. 1 - 49
In this tutorial paper, we present some interesting phenomena from Chua's equation with a cubic nonlinearity as well as that with a piecewise-linear... 
Chua's circuit/oscillator | Cubic nonlinearity | Smooth Chua's equation | cubic nonlinearity | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | smooth Chua's equation | GENERATING CHAOS | MULTIDISCIPLINARY SCIENCES | TAKENS-BOGDANOV | CHAOTIC PHENOMENA | ADAPTIVE-CONTROL | OSCILLATOR | BIFURCATION | UNIVERSAL CIRCUIT
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2007, Volume 17, Issue 9, pp. 3047 - 3059
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 08/2007, Volume 17, Issue 8, pp. 2705 - 2722
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 07/2017, Volume 89, Issue 1, pp. 577 - 586
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 10/2018, Volume 115, pp. 325 - 340
•Presented a new supervisory control mechanism for synchronizing two Chua fractional order chaotic systems that it is based on nonlinear fractional order PD... 
Fourier expansion | Non-smooth calculus of variation | Fractional derivatives | Chua fractional order chaotic systems | Master-slave synchronization | PHYSICS, MULTIDISCIPLINARY | SLIDING MODE CONTROLLER | CALCULUS | EQUATIONS | PARAMETERS | PID CONTROL DESIGN | PHYSICS, MATHEMATICAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 2015, Volume 79, Issue 1, pp. 195 - 203
The main purpose of the paper was to explore the structures of bursting oscillations as well as the mechanism of non-smooth dynamic system with two timescales.... 
Generalized Chua’s system | Multiple timescales | Non-smooth bifurcation | Bursting oscillation | MECHANICS | Generalized Chua's system | PIECEWISE-SMOOTH | ENGINEERING, MECHANICAL | CIRCUIT | Jacobian matrix | Eigenvalues | Jacobi matrix method | Oscillations | Bifurcations | Bursting | Boundaries | Dynamical systems | Switching | Spiking | Eigen values | Subsystems | Nonlinear dynamics
Journal Article
Chinese Physics B, ISSN 1674-1056, 08/2010, Volume 19, Issue 8, pp. 080510 - 080510
The dynamics of a non-smooth electric circuit with an order gap between its parameters is investigated in this paper. Different types of symmetric bursting... 
Symmetric bursting | Non-smooth electric circuit | Bifurcation mechanism | non-smooth electric circuit | DYNAMICS | SPIKING | PHYSICS, MULTIDISCIPLINARY | bifurcation mechanism | symmetric bursting | Jacobian matrix | Dynamic tests | Circuits | Bifurcations | Evolution | Mathematical models | Bursting | Boundaries
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 654 - 673
In this paper, a rigorous computational method to compute solutions of piecewise-smooth systems using a functional analytic approach based on Chebyshev series... 
Piecewise smooth systems | Periodic orbits | Rigorous numerics | Contraction mapping theorem | Chebyshev series | Filippov | 37M99 | MSC 34A36 | 65P99 | 65L60 | 46B45 | MATHEMATICS, APPLIED | CONNECTING ORBITS | PARAMETERIZATION METHOD | CHUAS CIRCUIT | PROOF | (UN)STABLE MANIFOLDS | Computation | Circuits | Mathematical analysis | Series (mathematics) | Chebyshev approximation | Mathematical models | Polynomials | Orbits
Journal Article
Nonlinear Dynamics and Systems Theory, ISSN 1562-8353, 2016, Volume 16, Issue 2, pp. 149 - 164
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 7/2015, Volume 81, Issue 1, pp. 773 - 782
Journal Article
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