Synchronization of Mechanical Systems

Synchronization and Control of Chaos

“…I believe that the goal of this book, as stated in the preface, "to provide a systematic and broad account of that research," has not been achieved. For the reader's information and further reading, given the vast literature on the rapidly evolving research subjects of chaos control and chaos synchronization, the bibliographies [24] and [25] in conjunction with [1]- [10] are more informative. Nevertheless, in the information-explosive era today, writing a good research monograph or textbook is never an easy task.…”

Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force

“…Such systems include, but are not limited to, musical instruments, electric power systems, and lasers. There are numerous applications in mechanical [22] and electrical [21] engineering. New applications are found in mathematical biology such as synchronous variation of cell nuclei, firing of neurons, forms of cooperative behavior of animals and humans [28].…”

Synchronisation of systems with individual dynamics by static networked controllers

“…Synchronisation has been investigated extensively in the physics literature with an emphasis on the frequency entrainment of nonlinear or chaotic oscillators [11,12,17]. In the control literature, the focus has been laid on the design of distributed controllers representing the coupling network [15,17,20] and on the consensus problem, where the subsystems should reach a common final state x [4,14].…”