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The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Université Libre...Savoir plus
Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local sin...Savoir plus
This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univ...Savoir plus
This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at ...Savoir plus
This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic...Savoir plus
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. Such a book provides different points of vie...Savoir plus
Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibrium...Savoir plus
The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand th...Savoir plus
This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear ...Savoir plus
This book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector...Savoir plus
This book is the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The c...Savoir plus
This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equ...Savoir plus
Presents an approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay....Savoir plus
This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the st...Savoir plus
This book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one...Savoir plus
Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsiv...Savoir plus
This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cub...Savoir plus
In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a bette...Savoir plus
This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the gener...Savoir plus
This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear ...Savoir plus
"Machine Tool Vibrations and Cutting Dynamics" covers the fundamentals of cutting dynamics from the perspective of discontinuous systems theory. It sh...Savoir plus
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors....Savoir plus
This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-qu...Savoir plus
Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsiv...Savoir plus