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Results 1-10 of 11 (Search time: 0.003 seconds).
    • A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
    Authors: Theophile Fonzin Fozin; Jacques Kengne; Alexis Nguomkam Negou; Zeric Tabekoueng Njitacke; Viet-Thanh Pham; Sajad Jafari;  Advisor: -;  Co-Author: - (2020)

    The dimension of the conservative chaotic systems is an integer and equals the system dimension, which brings about a better ergodic property and thus have potentials in engineering application than the dissipative systems. This paper investigates the phenomenon of megastability in a unique and simple conservative oscillator with infinite of hyperbolic and nonhyperbolic equilibria. Using traditional nonlinear analysis tools, we found that the introduced oscillator possesses an invariable energy and displays either self-excited or hidden dynamics depending on the stability of its equilibria. Besides, the conservative nature of the new system is validated using theoretical measurement. Furthermore, an analog simulator of the oscillator is built and simulated in the PSpice environment ...
    • Complexity, Dynamics, Control, and Applications of Nonlinear Systems with Multistability
    Authors: Viet-Thanh Pham; Sundarapandian Vaidyanathan; Tomasz Kapitaniak;  Advisor: -;  Co-Author: - (2020)

    Multistability is a critical property of nonlinear dynamical systems, where a variety of phenomena such as coexisting attractors can appear for the same parameters but with different initial conditions. The flexibility in the system’s performance can be achieved without changing parameters. Complex dynamics have been observed in multistable systems, and we have witnessed systems with multistability in numerous fields ranging across physics, biology, chemistry, electronics, and mechanics, as well as reported applications in oscillators and secure communications. It is now well established from a variety of studies that multistable systems are very sensitive to both random noise and perturbations. Numerous studies such as open-loop control, feedback control, adaptive control, intellig...
    • The First Experimental Evidence of Chaos from a Nonlinear Circuit with a Real Memristor
    Authors: Christos Volos; Hector Nistazakis; Viet-Thanh Pham; Ioannis Stouboulos;  Advisor: -;  Co-Author: - (2020)

    In this work, chaos is experimentally observed from a circuit, in which the nonlinear element is a real memristor. To the best of our knowledge, this is the first nonlinear circuit with a commercially available memristor (KNOWM memristor), which has been implemented in order to experimentally investigate chaos and phenomena related with it, such as a route to chaos via period-doubling, one-scroll and the well-known double-scroll chaotic attractors.