Three-dimensional chaotic autonomous van der Pol-Duffing type oscillator and its fractional-order form
DOI10.1016/J.CJPH.2018.08.003OpenAlexW2886800653WikidataQ129391609 ScholiaQ129391609MaRDI QIDQ6197348
Victor Kamdoum Tamba, Pierre Kisito Talla, Sifeu Takougang Kingni, Gaetan Fautso Kuiate
Publication date: 19 March 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cjph.2018.08.003
chaossynchronizationchaos controlcoexistence of attractorsfractional-ordervan der Pol-Duffing oscillator
Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx) Model systems in control theory (93Cxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control
- Chaos control and hybrid projective synchronization of several new chaotic systems
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- A necessary condition for double scroll attractor existence in fractional-order systems
- Fuzzy fractional order sliding mode controller for nonlinear systems
- Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
- A new oscillator with infinite coexisting asymmetric attractors
- Bursting oscillations in a 3D system with asymmetrically distributed equilibria: mechanism, electronic implementation and fractional derivation effect
- A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Fractional order calculus: basic concepts and engineering applications
- Control of chaos: methods and applications. I: Methods
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
- Chaos in a new fractional-order system without equilibrium points
- Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems
- Adaptive synchronization of a modified and uncertain chaotic van der Pol-Duffing oscillator based on parameter identification
- OBSERVER-BASED SYNCHRONIZATION FOR A CLASS OF FRACTIONAL CHAOTIC SYSTEMS VIA A SCALAR SIGNAL: RESULTS INVOLVING THE EXACT SOLUTION OF THE ERROR DYNAMICS
- THE COEXISTENCE OF PERIODIC, ALMOST-PERIODIC AND CHAOTIC ATTRACTORS IN THE VAN DER POL-DUFFING OSCILLATOR
- SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
- Linear Feedback Control
- Analysis of fractional differential equations
This page was built for publication: Three-dimensional chaotic autonomous van der Pol-Duffing type oscillator and its fractional-order form