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“Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mat...
This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear ...
Nonlinear problems are of interest to engineers, physicists and mathematicians and many other scientists because most systems are inherently nonlinear...
Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis Comprehensive understanding of any vibro-impact system is...
Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively use...
The book is about the global stability and bifurcation of equilibriums in polynomial functional systems. Appearing and switching bifurcations of simpl...
Volume I: Univariate Vector Fields
This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-di...
In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a bette...
Crossing-linear and Self-quadratic Product Vector Fields
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This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical syst...
Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local sin...
Volume II: Bivariate Vector Fields
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dime...
"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical syst...
This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n-dimensiona...
The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Université Libr...
This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic ...
Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsiv...
The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand th...
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors....
“Machine Tool Vibrations and Cutting Dynamics” covers the fundamentals of cutting dynamics from the perspective of discontinuous systems theory. I...
This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at ...
This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of...
An Electromagnetically Tuned Mass Damper System
The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and vibration reduction. The ele...
This book builds on the fundamental understandings, learned in undergraduate engineering and physics in principles of dynamics and control of mechanic...
Applications in Physical, Biological, and Financial Systems
Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical syste...
This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the gener...
This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local mon...
"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, ...
This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economi...
Discrete and Switching Dynamical Systems is a unique book about stability and its switching complexity in discrete dynamical systems, and provides a s...
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...
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...
This book, the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic p...
Self- Quadratic Vector Fields
This book, the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vec...
Two-dimensional Product-cubic Systems Crossing-Quadratic Vector Fields
This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univ...
Two-dimensional Two-product Cubic Systems with Different Product Structure Vector Fields
This book, the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the eq...
Crossing-linear and Self-quadratic Product Vector Field
This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and ...
This book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector...
Continuous dynamical systems is a unique book on chaos which can be analytically expressed rather than numerically simulated only, and provides a simp...
Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular em...