The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics.
This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics.
The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion.
This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.
Revolutionary and original, this treatise presents a new paradigm of EMERGENCE and COMPLEXITY, with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc.
This book presents an interdisciplinary approach to the question of how observer-participant perspectives are generated, what constrains them and how they may be modified.
For graduates, undergraduates and a reference for practising researchers, this covers the physics of fluid transport in micro- and nanofabricated systems.
This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving.
A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.
This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time.
For graduates, undergraduates and a reference for practising researchers, this covers the physics of fluid transport in micro- and nanofabricated systems.
Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree.
This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.
This volume focuses on the modeling of cognition, and brings together contributions from psychologists and researchers in the field of cognitive science.
The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets.
This volume covers the most recent progress of research work on electrorheological (ER) and magnetorheological (MR) industrial applications related to controllable damping, ER/MR fundamental mechanisms, and understanding the potential of new classes of field responsive materials.