Bifurcation and control of chaos in a chemical system

Time effect on the dynamical behavior of a life energy system dynamic model

“…From an ecological viewpoint, the interaction parameter areas of coexistence for two components are desirable. This method is important for understanding the regulatory chemical mechanisms of ecological systems, which provides a control mechanism to ensure a coexistence transition from an equilibrium to a periodic oscillation with desired amplitude and robust period [2,5,15,16,22,23,26]. In addition, we would like to point out that we can also investigate the Hopf bifurcation of system (1.3) by choosing the delay τ 2 as bifurcation parameter.…”

Hopf bifurcation and chaos control for a Leslie–Gower type generalist predator model

“…The control of chaos involves eliminating and restraining the chaos phenomenon when it is unavailable and harmful. It has been noticed that purposeful control of chaos can be a key issue in many technological applications [12][13][14][15]. Generally, the existing chaos control methods can be divided into two categories, feedback control and non-feedback control, according to their characteristics.…”

Simplified State Observer of Hyperchaotic L? Attractor with One Voltage-sensed Signal

“…Since the introduction of a method of synchronizing two identical chaotic systems with different initial conditions in the pioneering work of Pecora and Carroll, (1) chaos control and synchronization have become a very important topic in nonlinear science. Owing to the huge range of potential applications, chaos control and chaos synchronization (2)(3)(4)(5)(6)(7)(8)(9) have received a great deal of attention among researchers in many fields, such as physical (10) and chemical systems, (11,12) power converters, (13) ecological and biological systems, (14,15) financial systems, (16) and secure communication. (17,18) In applications, it is either inefficient or impractical to measure all the elements of the state vector under practical hardware limitations.…”