Temat: hyperjerk systems - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Chaos in a simple snap system with only one nonlinearity, its adaptive control and real circuit design
Autorzy:: Pham, Viet-Thanh
Vaidyanathan, Sundarapandian
Volos, Christos
Jafari, Sajad
Alsaadi, Fawaz E.
Alsaadi, Fuad E.
Tematy:: chaos
chaotic systems
hyperjerk systems
adaptive control
backstepping control
circuit design; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/229990.pdf Link otwiera się w nowym oknie
Opis:: We study an elegant snap system with only one nonlinear term, which is a quadratic nonlinearity. The snap system displays chaotic attractors, which are controlled easily by changing a system parameter. By using analysis, simulations and a real circuit, the dynamics of such a snap system has been investigated. We also investigate backstepping based adaptive control schemes for the new snap system with unknown parameters.
Dostawca treści:: Biblioteka Nauki

Artykuł

na półce

Skocz do pozycji: 2.

Tytuł:: A new chaotic hyperjerk system with four quadratic nonlinearities, its bifurcation analysis, multistability, circuit design and complete synchronization design via active backstepping control
Autorzy:: Vaidyanathan, Sundarapandian
Sambas, Aceng
Moroz, Irene M.
Aruna, Chittineni
Mohamed, Mohamad Afendee
Sundaram, Arun
Tematy:: chaotic systems
chaos
hyperjerk systems
bifurcation analysis
circuit design
backstepping control
synchronization; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/59111235.pdf Link otwiera się w nowym oknie
Opis:: In this research work, we propose a new four-dimensional chaotic hyperjerk system with four quadratic nonlinearities. We carry out a detailed bifurcation analysis and derive conditions for the existence of a Hopf bifurcation for the new hyperjerk system. A linear analysis shows that there is only a unique trivial equilibrium state, whose stability depends solely on the parameter p. The only bifurcation possible is a Hopf bifurcation when p = 2. This is verified from bifurcation transition diagrams. We derive new results showing multistability and the existence of coexisting attractors for the new chaotic hyperjerk system. Using MultiSim, a new electronic circuit is designed for the new chaotic hyperjerk system with four quadratic nonlinearities. Finally, we present a control application for the proposed chaotic hyperjerk system with four quadratic nonlinearities. Using active backstepping control, we design a new controller that achieves complete synchronization for the master-slave chaotic hyperjerk systems with four quadratic nonlinearities.
Dostawca treści:: Biblioteka Nauki

Artykuł

na półce

Skocz do pozycji: 3.

Tytuł:: A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design
Autorzy:: Vaidyanathan, S.
Jafari, S.
Pham, V.-T.
Azar, A. T.
Alsaadi, F. E.
Tematy:: chaos
chaotic systems
hyperjerk systems
hidden attractors
adaptive control
backstepping control
circuit design; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/229776.pdf Link otwiera się w nowym oknie
Opis:: A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.
Dostawca treści:: Biblioteka Nauki

Artykuł

na półce

Informacja

Wyszukujesz frazę "hyperjerk systems" wg kryterium: Temat